LPTMS Wiki - User contributions [en]

Quantum journal club

2018-11-12T08:59:59Z

Bpandey:

__NOTOC__
Seminar room, (about each 2 weeks) on Mondays @ 11:00am to 12:00am.

===== 11/26/18 : " Correlations of occupation numbers in the canonical ensemble " by Christophe Texier =====

The connection between the statistical physics of non-interaction indistinguishable particles in quantum mechanics and the theory of symmetric functions will be reviewed.Then, I will study the $p$-point correlation function $\overline{n_1\cdots n_p}$ of occupation numbers in the canonical ensemble ; in the grand canonical ensemble, they are trivially obtained from the independence of individual quantum states, however the constraint on the number of particles makes the problem non trivial in the canonical ensemble. I will show several representations of these correlation functions.
I will illustrate the main formulae by revisiting the problem of Bose-Einstein condensation in a 1D harmonic trap in the canonical ensemble, for which we have obtained several analytical results.
In particular, in the temperature regime dominated by quantum correlations, the distribution of the ground state occupancy is shown to be a truncated Gumbel law.

Reference :Olivier Giraud, AurÃ©lien Grabsch & Christophe Texier,
Correlations of occupation numbers in the canonical ensemble and application to BEC in a 1D harmonic trap,
Phys. Rev. A 97, 053615 (2018).

===== 10/29/18 : " Organising strong correlations: Schwinger-Shastry formalism " by Eoin Quinn =====

===== 10/15/18 : " Topological Transition in a Non-Hermitian Quantum Walk " by Leonardo Mazza =====
References: M. S. Rudner and L. S. Levitov, Phys. Rev. Lett. 102, 065703 (2009)(https://arxiv.org/abs/0807.2048)

===== 07/09/18 : " Out-of-time-order correlators in quantum mechanics" by Bradraj Pandey =====
References:1. Out-of-time-order correlators in quantum mechanics (https://arxiv.org/abs/1703.09435) 2. Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet (https://arxiv.org/abs/1608.08938).

===== 06/18/18 : Lieb-Robinson bounds " by Maurizio Fagotti : =====

===== 06/04/18 : '''Quantum mechanics in multi-connected space and the origin of new statistics in low dimensional system''' by Raoul santachiara =====

We recall how to define the problem of N indinstinguishible quantum particles and argue that the topology of the configuration space plays a crucial role. This observation, that has been put on solid grounds by Leinaas and Mirheim in the 1977, has provided the theoretical framework for the existence of anyonic statistics in two dimensions. Moreover, it inspired the connection between the Conformal field theory and topological phases in two dimensions: via this connection, the occurence of non-Abelian anyons in the fractional quantum Hall effect has been suggested.

===== 03/26/18 '''Supersolids: a short overview''' by Giovanni Martone =====
References: [https://journals-aps-org.proxy.scd.u-psud.fr/rmp/abstract/10.1103/RevModPhys.84.759 " Colloquium: Supersolids: What and where are they"by M. Boninsegni and N. V. Prokof'ev, " ], [https://journals-aps-org.proxy.scd.u-psud.fr/prl/abstract/10.1103/PhysRevLett.108.225301 "Quantum Tricriticality and Phase Transitions in Spin-Orbit Coupled Bose-Einstein Condensates" by Y. Li, L. P. Pitaevskii, and S. Stringari] and [https://www.nature.com/articles/nature21431 "A stripe phase with supersolid properties in spin-orbit-coupled Bose-Einstein condensates" by J. Li, J. Lee, W. Huang, S. Burchesky, B. Shteynas, F. Ç. Top, A. O. Jamison, and W. Ketterle]

===== 03/12/18 '''Dynamical Quantum phase transition''' by Guillaume Roux =====
References: [https://arxiv.org/pdf/1709.07461.pdf|''Dynamical quantum phase transitions: a review'' by M. Heyl ] and [https://arxiv.org/pdf/1701.08851.pdf|''Dynamical quantum phase transitions'' by A.A. Zvyagin]

Quantum journal club

2018-11-12T08:59:17Z

Bpandey:

__NOTOC__
Seminar room, (about each 2 weeks) on Mondays @ 11:00am to 12:00am.

===== 26/11/18 : " Correlations of occupation numbers in the canonical ensemble " by Christophe Texier =====

The connection between the statistical physics of non-interaction indistinguishable particles in quantum mechanics and the theory of symmetric functions will be reviewed.Then, I will study the $p$-point correlation function $\overline{n_1\cdots n_p}$ of occupation numbers in the canonical ensemble ; in the grand canonical ensemble, they are trivially obtained from the independence of individual quantum states, however the constraint on the number of particles makes the problem non trivial in the canonical ensemble. I will show several representations of these correlation functions.
I will illustrate the main formulae by revisiting the problem of Bose-Einstein condensation in a 1D harmonic trap in the canonical ensemble, for which we have obtained several analytical results.
In particular, in the temperature regime dominated by quantum correlations, the distribution of the ground state occupancy is shown to be a truncated Gumbel law.

Reference :Olivier Giraud, AurÃ©lien Grabsch & Christophe Texier,
Correlations of occupation numbers in the canonical ensemble and application to BEC in a 1D harmonic trap,
Phys. Rev. A 97, 053615 (2018).

===== 10/29/18 : " Organising strong correlations: Schwinger-Shastry formalism " by Eoin Quinn =====

===== 10/15/18 : " Topological Transition in a Non-Hermitian Quantum Walk " by Leonardo Mazza =====
References: M. S. Rudner and L. S. Levitov, Phys. Rev. Lett. 102, 065703 (2009)(https://arxiv.org/abs/0807.2048)

===== 07/09/18 : " Out-of-time-order correlators in quantum mechanics" by Bradraj Pandey =====
References:1. Out-of-time-order correlators in quantum mechanics (https://arxiv.org/abs/1703.09435) 2. Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet (https://arxiv.org/abs/1608.08938).

===== 06/18/18 : Lieb-Robinson bounds " by Maurizio Fagotti : =====

===== 06/04/18 : '''Quantum mechanics in multi-connected space and the origin of new statistics in low dimensional system''' by Raoul santachiara =====

We recall how to define the problem of N indinstinguishible quantum particles and argue that the topology of the configuration space plays a crucial role. This observation, that has been put on solid grounds by Leinaas and Mirheim in the 1977, has provided the theoretical framework for the existence of anyonic statistics in two dimensions. Moreover, it inspired the connection between the Conformal field theory and topological phases in two dimensions: via this connection, the occurence of non-Abelian anyons in the fractional quantum Hall effect has been suggested.

===== 03/26/18 '''Supersolids: a short overview''' by Giovanni Martone =====
References: [https://journals-aps-org.proxy.scd.u-psud.fr/rmp/abstract/10.1103/RevModPhys.84.759 " Colloquium: Supersolids: What and where are they"by M. Boninsegni and N. V. Prokof'ev, " ], [https://journals-aps-org.proxy.scd.u-psud.fr/prl/abstract/10.1103/PhysRevLett.108.225301 "Quantum Tricriticality and Phase Transitions in Spin-Orbit Coupled Bose-Einstein Condensates" by Y. Li, L. P. Pitaevskii, and S. Stringari] and [https://www.nature.com/articles/nature21431 "A stripe phase with supersolid properties in spin-orbit-coupled Bose-Einstein condensates" by J. Li, J. Lee, W. Huang, S. Burchesky, B. Shteynas, F. Ç. Top, A. O. Jamison, and W. Ketterle]

===== 03/12/18 '''Dynamical Quantum phase transition''' by Guillaume Roux =====
References: [https://arxiv.org/pdf/1709.07461.pdf|''Dynamical quantum phase transitions: a review'' by M. Heyl ] and [https://arxiv.org/pdf/1701.08851.pdf|''Dynamical quantum phase transitions'' by A.A. Zvyagin]

Quantum journal club

2018-11-12T08:58:46Z

Bpandey:

__NOTOC__
Seminar room, (about each 2 weeks) on Mondays @ 11:00am to 12:00am.

===== 26/11/18 : " Correlations of occupation numbers in the canonical ensemble " by Christophe Texier =====

The connection between the statistical physics of non-interaction indistinguishable particles in quantum mechanics and the theory of symmetric functions will be reviewed.Then, I will study the $p$-point correlation function $\overline{n_1\cdots n_p}$ of occupation numbers in the canonical ensemble ; in the grand canonical ensemble, they are trivially obtained from the independence of individual quantum states, however the constraint on the number of particles makes the problem non trivial in the canonical ensemble. I will show several representations of these correlation functions.
I will illustrate the main formulae by revisiting the problem of Bose-Einstein condensation in a 1D harmonic trap in the canonical ensemble, for which we have obtained several analytical results.
In particular, in the temperature regime dominated by quantum correlations, the distribution of the ground state occupancy is shown to be a truncated Gumbel law.
Reference :Olivier Giraud, AurÃ©lien Grabsch & Christophe Texier,
Correlations of occupation numbers in the canonical ensemble and application to BEC in a 1D harmonic trap,
Phys. Rev. A 97, 053615 (2018).

===== 10/29/18 : " Organising strong correlations: Schwinger-Shastry formalism " by Eoin Quinn =====

===== 10/15/18 : " Topological Transition in a Non-Hermitian Quantum Walk " by Leonardo Mazza =====
References: M. S. Rudner and L. S. Levitov, Phys. Rev. Lett. 102, 065703 (2009)(https://arxiv.org/abs/0807.2048)

===== 07/09/18 : " Out-of-time-order correlators in quantum mechanics" by Bradraj Pandey =====
References:1. Out-of-time-order correlators in quantum mechanics (https://arxiv.org/abs/1703.09435) 2. Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet (https://arxiv.org/abs/1608.08938).

===== 06/18/18 : Lieb-Robinson bounds " by Maurizio Fagotti : =====

===== 06/04/18 : '''Quantum mechanics in multi-connected space and the origin of new statistics in low dimensional system''' by Raoul santachiara =====

We recall how to define the problem of N indinstinguishible quantum particles and argue that the topology of the configuration space plays a crucial role. This observation, that has been put on solid grounds by Leinaas and Mirheim in the 1977, has provided the theoretical framework for the existence of anyonic statistics in two dimensions. Moreover, it inspired the connection between the Conformal field theory and topological phases in two dimensions: via this connection, the occurence of non-Abelian anyons in the fractional quantum Hall effect has been suggested.

===== 03/26/18 '''Supersolids: a short overview''' by Giovanni Martone =====
References: [https://journals-aps-org.proxy.scd.u-psud.fr/rmp/abstract/10.1103/RevModPhys.84.759 " Colloquium: Supersolids: What and where are they"by M. Boninsegni and N. V. Prokof'ev, " ], [https://journals-aps-org.proxy.scd.u-psud.fr/prl/abstract/10.1103/PhysRevLett.108.225301 "Quantum Tricriticality and Phase Transitions in Spin-Orbit Coupled Bose-Einstein Condensates" by Y. Li, L. P. Pitaevskii, and S. Stringari] and [https://www.nature.com/articles/nature21431 "A stripe phase with supersolid properties in spin-orbit-coupled Bose-Einstein condensates" by J. Li, J. Lee, W. Huang, S. Burchesky, B. Shteynas, F. Ç. Top, A. O. Jamison, and W. Ketterle]

===== 03/12/18 '''Dynamical Quantum phase transition''' by Guillaume Roux =====
References: [https://arxiv.org/pdf/1709.07461.pdf|''Dynamical quantum phase transitions: a review'' by M. Heyl ] and [https://arxiv.org/pdf/1701.08851.pdf|''Dynamical quantum phase transitions'' by A.A. Zvyagin]

Quantum journal club

2018-11-12T08:57:38Z

Bpandey:

__NOTOC__
Seminar room, (about each 2 weeks) on Mondays @ 11:00am to 12:00am.

===== 26/11/18 : " Correlations of occupation numbers in the canonical ensemble " by Christophe Texier ==

The connection between the statistical physics of non-interaction indistinguishable particles in quantum mechanics and the theory of symmetric functions will be reviewed.Then, I will study the $p$-point correlation function $\overline{n_1\cdots n_p}$ of occupation numbers in the canonical ensemble ; in the grand canonical ensemble, they are trivially obtained from the independence of individual quantum states, however the constraint on the number of particles makes the problem non trivial in the canonical ensemble. I will show several representations of these correlation functions.
I will illustrate the main formulae by revisiting the problem of Bose-Einstein condensation in a 1D harmonic trap in the canonical ensemble, for which we have obtained several analytical results.
In particular, in the temperature regime dominated by quantum correlations, the distribution of the ground state occupancy is shown to be a truncated Gumbel law.
Reference :Olivier Giraud, AurÃ©lien Grabsch & Christophe Texier,
Correlations of occupation numbers in the canonical ensemble and application to BEC in a 1D harmonic trap,
Phys. Rev. A 97, 053615 (2018).

===== 10/29/18 : " Organising strong correlations: Schwinger-Shastry formalism " by Eoin Quinn =====

===== 10/15/18 : " Topological Transition in a Non-Hermitian Quantum Walk " by Leonardo Mazza =====
References: M. S. Rudner and L. S. Levitov, Phys. Rev. Lett. 102, 065703 (2009)(https://arxiv.org/abs/0807.2048)

===== 07/09/18 : " Out-of-time-order correlators in quantum mechanics" by Bradraj Pandey =====
References:1. Out-of-time-order correlators in quantum mechanics (https://arxiv.org/abs/1703.09435) 2. Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet (https://arxiv.org/abs/1608.08938).

===== 06/18/18 : Lieb-Robinson bounds " by Maurizio Fagotti : =====

===== 06/04/18 : '''Quantum mechanics in multi-connected space and the origin of new statistics in low dimensional system''' by Raoul santachiara =====

We recall how to define the problem of N indinstinguishible quantum particles and argue that the topology of the configuration space plays a crucial role. This observation, that has been put on solid grounds by Leinaas and Mirheim in the 1977, has provided the theoretical framework for the existence of anyonic statistics in two dimensions. Moreover, it inspired the connection between the Conformal field theory and topological phases in two dimensions: via this connection, the occurence of non-Abelian anyons in the fractional quantum Hall effect has been suggested.

===== 03/26/18 '''Supersolids: a short overview''' by Giovanni Martone =====
References: [https://journals-aps-org.proxy.scd.u-psud.fr/rmp/abstract/10.1103/RevModPhys.84.759 " Colloquium: Supersolids: What and where are they"by M. Boninsegni and N. V. Prokof'ev, " ], [https://journals-aps-org.proxy.scd.u-psud.fr/prl/abstract/10.1103/PhysRevLett.108.225301 "Quantum Tricriticality and Phase Transitions in Spin-Orbit Coupled Bose-Einstein Condensates" by Y. Li, L. P. Pitaevskii, and S. Stringari] and [https://www.nature.com/articles/nature21431 "A stripe phase with supersolid properties in spin-orbit-coupled Bose-Einstein condensates" by J. Li, J. Lee, W. Huang, S. Burchesky, B. Shteynas, F. Ç. Top, A. O. Jamison, and W. Ketterle]

===== 03/12/18 '''Dynamical Quantum phase transition''' by Guillaume Roux =====
References: [https://arxiv.org/pdf/1709.07461.pdf|''Dynamical quantum phase transitions: a review'' by M. Heyl ] and [https://arxiv.org/pdf/1701.08851.pdf|''Dynamical quantum phase transitions'' by A.A. Zvyagin]

Quantum journal club

2018-11-12T08:56:47Z

Bpandey:

__NOTOC__
Seminar room, (about each 2 weeks) on Mondays @ 11:00am to 12:00am.

===== 26/11/18 : " Correlations of occupation numbers in the canonical ensemble by Christophe Texier ==

The connection between the statistical physics of non-interaction indistinguishable particles in quantum mechanics and the theory of symmetric functions will be reviewed.Then, I will study the $p$-point correlation function $\overline{n_1\cdots n_p}$ of occupation numbers in the canonical ensemble ; in the grand canonical ensemble, they are trivially obtained from the independence of individual quantum states, however the constraint on the number of particles makes the problem non trivial in the canonical ensemble. I will show several representations of these correlation functions.
I will illustrate the main formulae by revisiting the problem of Bose-Einstein condensation in a 1D harmonic trap in the canonical ensemble, for which we have obtained several analytical results.
In particular, in the temperature regime dominated by quantum correlations, the distribution of the ground state occupancy is shown to be a truncated Gumbel law.
Reference :Olivier Giraud, AurÃ©lien Grabsch & Christophe Texier,
Correlations of occupation numbers in the canonical ensemble and application to BEC in a 1D harmonic trap,
Phys. Rev. A 97, 053615 (2018).

===== 10/29/18 : " Organising strong correlations: Schwinger-Shastry formalism " by Eoin Quinn =====

===== 10/15/18 : " Topological Transition in a Non-Hermitian Quantum Walk " by Leonardo Mazza =====
References: M. S. Rudner and L. S. Levitov, Phys. Rev. Lett. 102, 065703 (2009)(https://arxiv.org/abs/0807.2048)

===== 07/09/18 : " Out-of-time-order correlators in quantum mechanics" by Bradraj Pandey =====
References:1. Out-of-time-order correlators in quantum mechanics (https://arxiv.org/abs/1703.09435) 2. Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet (https://arxiv.org/abs/1608.08938).

===== 06/18/18 : Lieb-Robinson bounds " by Maurizio Fagotti : =====

===== 06/04/18 : '''Quantum mechanics in multi-connected space and the origin of new statistics in low dimensional system''' by Raoul santachiara =====

We recall how to define the problem of N indinstinguishible quantum particles and argue that the topology of the configuration space plays a crucial role. This observation, that has been put on solid grounds by Leinaas and Mirheim in the 1977, has provided the theoretical framework for the existence of anyonic statistics in two dimensions. Moreover, it inspired the connection between the Conformal field theory and topological phases in two dimensions: via this connection, the occurence of non-Abelian anyons in the fractional quantum Hall effect has been suggested.

===== 03/26/18 '''Supersolids: a short overview''' by Giovanni Martone =====
References: [https://journals-aps-org.proxy.scd.u-psud.fr/rmp/abstract/10.1103/RevModPhys.84.759 " Colloquium: Supersolids: What and where are they"by M. Boninsegni and N. V. Prokof'ev, " ], [https://journals-aps-org.proxy.scd.u-psud.fr/prl/abstract/10.1103/PhysRevLett.108.225301 "Quantum Tricriticality and Phase Transitions in Spin-Orbit Coupled Bose-Einstein Condensates" by Y. Li, L. P. Pitaevskii, and S. Stringari] and [https://www.nature.com/articles/nature21431 "A stripe phase with supersolid properties in spin-orbit-coupled Bose-Einstein condensates" by J. Li, J. Lee, W. Huang, S. Burchesky, B. Shteynas, F. Ç. Top, A. O. Jamison, and W. Ketterle]

===== 03/12/18 '''Dynamical Quantum phase transition''' by Guillaume Roux =====
References: [https://arxiv.org/pdf/1709.07461.pdf|''Dynamical quantum phase transitions: a review'' by M. Heyl ] and [https://arxiv.org/pdf/1701.08851.pdf|''Dynamical quantum phase transitions'' by A.A. Zvyagin]

Quantum journal club

2018-09-11T08:28:12Z

Bpandey:

__NOTOC__
Seminar room, (about each 2 weeks) on Mondays @ 11:00am to 12:00am.
===== 10/29/18 : " Organising strong correlations: Schwinger-Shastry formalism " by Eoin Quinn =====

===== 10/15/18 : " Topological Transition in a Non-Hermitian Quantum Walk " by Leonardo Mazza =====
References: M. S. Rudner and L. S. Levitov, Phys. Rev. Lett. 102, 065703 (2009)(https://arxiv.org/abs/0807.2048)

===== 07/09/18 : " Out-of-time-order correlators in quantum mechanics" by Bradraj Pandey =====
References:1. Out-of-time-order correlators in quantum mechanics (https://arxiv.org/abs/1703.09435) 2. Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet (https://arxiv.org/abs/1608.08938).

===== 06/18/18 : Lieb-Robinson bounds " by Maurizio Fagotti : =====

===== 06/04/18 : '''Quantum mechanics in multi-connected space and the origin of new statistics in low dimensional system''' by Raoul santachiara =====

We recall how to define the problem of N indinstinguishible quantum particles and argue that the topology of the configuration space plays a crucial role. This observation, that has been put on solid grounds by Leinaas and Mirheim in the 1977, has provided the theoretical framework for the existence of anyonic statistics in two dimensions. Moreover, it inspired the connection between the Conformal field theory and topological phases in two dimensions: via this connection, the occurence of non-Abelian anyons in the fractional quantum Hall effect has been suggested.

===== 03/26/18 '''Supersolids: a short overview''' by Giovanni Martone =====
References: [https://journals-aps-org.proxy.scd.u-psud.fr/rmp/abstract/10.1103/RevModPhys.84.759 " Colloquium: Supersolids: What and where are they"by M. Boninsegni and N. V. Prokof'ev, " ], [https://journals-aps-org.proxy.scd.u-psud.fr/prl/abstract/10.1103/PhysRevLett.108.225301 "Quantum Tricriticality and Phase Transitions in Spin-Orbit Coupled Bose-Einstein Condensates" by Y. Li, L. P. Pitaevskii, and S. Stringari] and [https://www.nature.com/articles/nature21431 "A stripe phase with supersolid properties in spin-orbit-coupled Bose-Einstein condensates" by J. Li, J. Lee, W. Huang, S. Burchesky, B. Shteynas, F. Ç. Top, A. O. Jamison, and W. Ketterle]

===== 03/12/18 '''Dynamical Quantum phase transition''' by Guillaume Roux =====
References: [https://arxiv.org/pdf/1709.07461.pdf|''Dynamical quantum phase transitions: a review'' by M. Heyl ] and [https://arxiv.org/pdf/1701.08851.pdf|''Dynamical quantum phase transitions'' by A.A. Zvyagin]

Quantum journal club

2018-09-11T08:25:30Z

Bpandey:

__NOTOC__
Seminar room, (about each 2 weeks) on Mondays @ 11:00am to 12:00am.

===== 09/15/18 : " Topological Transition in a Non-Hermitian Quantum Walk " by Leonardo Mazza =====
References: M. S. Rudner and L. S. Levitov, Phys. Rev. Lett. 102, 065703 (2009)(https://arxiv.org/abs/0807.2048)

===== 07/09/18 : " Out-of-time-order correlators in quantum mechanics" by Bradraj Pandey =====
References:1. Out-of-time-order correlators in quantum mechanics (https://arxiv.org/abs/1703.09435) 2. Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet (https://arxiv.org/abs/1608.08938).

===== 06/18/18 : Lieb-Robinson bounds " by Maurizio Fagotti : =====

===== 06/04/18 : '''Quantum mechanics in multi-connected space and the origin of new statistics in low dimensional system''' by Raoul santachiara =====

We recall how to define the problem of N indinstinguishible quantum particles and argue that the topology of the configuration space plays a crucial role. This observation, that has been put on solid grounds by Leinaas and Mirheim in the 1977, has provided the theoretical framework for the existence of anyonic statistics in two dimensions. Moreover, it inspired the connection between the Conformal field theory and topological phases in two dimensions: via this connection, the occurence of non-Abelian anyons in the fractional quantum Hall effect has been suggested.

===== 03/26/18 '''Supersolids: a short overview''' by Giovanni Martone =====
References: [https://journals-aps-org.proxy.scd.u-psud.fr/rmp/abstract/10.1103/RevModPhys.84.759 " Colloquium: Supersolids: What and where are they"by M. Boninsegni and N. V. Prokof'ev, " ], [https://journals-aps-org.proxy.scd.u-psud.fr/prl/abstract/10.1103/PhysRevLett.108.225301 "Quantum Tricriticality and Phase Transitions in Spin-Orbit Coupled Bose-Einstein Condensates" by Y. Li, L. P. Pitaevskii, and S. Stringari] and [https://www.nature.com/articles/nature21431 "A stripe phase with supersolid properties in spin-orbit-coupled Bose-Einstein condensates" by J. Li, J. Lee, W. Huang, S. Burchesky, B. Shteynas, F. Ç. Top, A. O. Jamison, and W. Ketterle]

===== 03/12/18 '''Dynamical Quantum phase transition''' by Guillaume Roux =====
References: [https://arxiv.org/pdf/1709.07461.pdf|''Dynamical quantum phase transitions: a review'' by M. Heyl ] and [https://arxiv.org/pdf/1701.08851.pdf|''Dynamical quantum phase transitions'' by A.A. Zvyagin]

Quantum journal club

2018-09-11T08:24:27Z

Bpandey:

__NOTOC__
Seminar room, (about each 2 weeks) on Mondays @ 11:00am to 12:00am.

09/15/18 : "Topological Transition in a Non-Hermitian Quantum Walk" by Leonardo Mazza
References: M. S. Rudner and L. S. Levitov, Phys. Rev. Lett. 102, 065703 (2009)(https://arxiv.org/abs/0807.2048)

===== 07/09/18 : " Out-of-time-order correlators in quantum mechanics" by Bradraj Pandey =====
References:1. Out-of-time-order correlators in quantum mechanics (https://arxiv.org/abs/1703.09435) 2. Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet (https://arxiv.org/abs/1608.08938).

===== 06/18/18 : Lieb-Robinson bounds " by Maurizio Fagotti : =====

===== 06/04/18 : '''Quantum mechanics in multi-connected space and the origin of new statistics in low dimensional system''' by Raoul santachiara =====

We recall how to define the problem of N indinstinguishible quantum particles and argue that the topology of the configuration space plays a crucial role. This observation, that has been put on solid grounds by Leinaas and Mirheim in the 1977, has provided the theoretical framework for the existence of anyonic statistics in two dimensions. Moreover, it inspired the connection between the Conformal field theory and topological phases in two dimensions: via this connection, the occurence of non-Abelian anyons in the fractional quantum Hall effect has been suggested.

===== 03/26/18 '''Supersolids: a short overview''' by Giovanni Martone =====
References: [https://journals-aps-org.proxy.scd.u-psud.fr/rmp/abstract/10.1103/RevModPhys.84.759 " Colloquium: Supersolids: What and where are they"by M. Boninsegni and N. V. Prokof'ev, " ], [https://journals-aps-org.proxy.scd.u-psud.fr/prl/abstract/10.1103/PhysRevLett.108.225301 "Quantum Tricriticality and Phase Transitions in Spin-Orbit Coupled Bose-Einstein Condensates" by Y. Li, L. P. Pitaevskii, and S. Stringari] and [https://www.nature.com/articles/nature21431 "A stripe phase with supersolid properties in spin-orbit-coupled Bose-Einstein condensates" by J. Li, J. Lee, W. Huang, S. Burchesky, B. Shteynas, F. Ç. Top, A. O. Jamison, and W. Ketterle]

===== 03/12/18 '''Dynamical Quantum phase transition''' by Guillaume Roux =====
References: [https://arxiv.org/pdf/1709.07461.pdf|''Dynamical quantum phase transitions: a review'' by M. Heyl ] and [https://arxiv.org/pdf/1701.08851.pdf|''Dynamical quantum phase transitions'' by A.A. Zvyagin]

Quantum journal club

2018-09-03T08:01:20Z

Bpandey:

__NOTOC__
Seminar room, (about each 2 weeks) on Mondays @ 11:00am to 12:00am.

===== 07/09/18 : " Out-of-time-order correlators in quantum mechanics" by Bradraj Pandey =====
References:1. Out-of-time-order correlators in quantum mechanics (https://arxiv.org/abs/1703.09435) 2. Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet (https://arxiv.org/abs/1608.08938).

===== 06/18/18 : Lieb-Robinson bounds " by Maurizio Fagotti : =====

===== 06/04/18 : '''Quantum mechanics in multi-connected space and the origin of new statistics in low dimensional system''' by Raoul santachiara =====

We recall how to define the problem of N indinstinguishible quantum particles and argue that the topology of the configuration space plays a crucial role. This observation, that has been put on solid grounds by Leinaas and Mirheim in the 1977, has provided the theoretical framework for the existence of anyonic statistics in two dimensions. Moreover, it inspired the connection between the Conformal field theory and topological phases in two dimensions: via this connection, the occurence of non-Abelian anyons in the fractional quantum Hall effect has been suggested.

===== 03/26/18 '''Supersolids: a short overview''' by Giovanni Martone =====
References: [https://journals-aps-org.proxy.scd.u-psud.fr/rmp/abstract/10.1103/RevModPhys.84.759 " Colloquium: Supersolids: What and where are they"by M. Boninsegni and N. V. Prokof'ev, " ], [https://journals-aps-org.proxy.scd.u-psud.fr/prl/abstract/10.1103/PhysRevLett.108.225301 "Quantum Tricriticality and Phase Transitions in Spin-Orbit Coupled Bose-Einstein Condensates" by Y. Li, L. P. Pitaevskii, and S. Stringari] and [https://www.nature.com/articles/nature21431 "A stripe phase with supersolid properties in spin-orbit-coupled Bose-Einstein condensates" by J. Li, J. Lee, W. Huang, S. Burchesky, B. Shteynas, F. Ç. Top, A. O. Jamison, and W. Ketterle]

===== 03/12/18 '''Dynamical Quantum phase transition''' by Guillaume Roux =====
References: [https://arxiv.org/pdf/1709.07461.pdf|''Dynamical quantum phase transitions: a review'' by M. Heyl ] and [https://arxiv.org/pdf/1701.08851.pdf|''Dynamical quantum phase transitions'' by A.A. Zvyagin]

Quantum journal club

2018-09-03T07:34:46Z

Bpandey:

__NOTOC__
Seminar room, (about each 2 weeks) on Mondays @ 11:00am to 12:00am.

===== Monday July 9th by Bradraj Pandey =====
References:1. Out-of-time-order correlators in quantum mechanics (https://arxiv.org/abs/1703.09435) 2. Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet (https://arxiv.org/abs/1608.08938).

===== Monday June 18th by Maurizio Fagotti : Lieb-Robinson bounds =====

===== Monday June 4th : '''Quantum mechanics in multi-connected space and the origin of new statistics in low dimensional system''' by Raoul santachiara =====

We recall how to define the problem of N indinstinguishible quantum particles and argue that the topology of the configuration space plays a crucial role. This observation, that has been put on solid grounds by Leinaas and Mirheim in the 1977, has provided the theoretical framework for the existence of anyonic statistics in two dimensions. Moreover, it inspired the connection between the Conformal field theory and topological phases in two dimensions: via this connection, the occurence of non-Abelian anyons in the fractional quantum Hall effect has been suggested.

===== 03/26/18 '''Supersolids: a short overview''' by Giovanni Martone =====
References: [https://journals-aps-org.proxy.scd.u-psud.fr/rmp/abstract/10.1103/RevModPhys.84.759 " Colloquium: Supersolids: What and where are they"by M. Boninsegni and N. V. Prokof'ev, " ], [https://journals-aps-org.proxy.scd.u-psud.fr/prl/abstract/10.1103/PhysRevLett.108.225301 "Quantum Tricriticality and Phase Transitions in Spin-Orbit Coupled Bose-Einstein Condensates" by Y. Li, L. P. Pitaevskii, and S. Stringari] and [https://www.nature.com/articles/nature21431 "A stripe phase with supersolid properties in spin-orbit-coupled Bose-Einstein condensates" by J. Li, J. Lee, W. Huang, S. Burchesky, B. Shteynas, F. Ç. Top, A. O. Jamison, and W. Ketterle]

===== 03/12/18 '''Dynamical Quantum phase transition''' by Guillaume Roux =====
References: [https://arxiv.org/pdf/1709.07461.pdf|''Dynamical quantum phase transitions: a review'' by M. Heyl ] and [https://arxiv.org/pdf/1701.08851.pdf|''Dynamical quantum phase transitions'' by A.A. Zvyagin]

Quantum journal club

2018-09-03T07:34:18Z

Bpandey:

__NOTOC__
Seminar room, (about each 2 weeks) on Mondays @ 11:00am to 12:00am.

===== Monday July 9th by Bradraj Pandey =====
Referces:1. Out-of-time-order correlators in quantum mechanics (https://arxiv.org/abs/1703.09435) 2. Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet (https://arxiv.org/abs/1608.08938).

===== Monday June 18th by Maurizio Fagotti : Lieb-Robinson bounds =====

===== Monday June 4th : '''Quantum mechanics in multi-connected space and the origin of new statistics in low dimensional system''' by Raoul santachiara =====

We recall how to define the problem of N indinstinguishible quantum particles and argue that the topology of the configuration space plays a crucial role. This observation, that has been put on solid grounds by Leinaas and Mirheim in the 1977, has provided the theoretical framework for the existence of anyonic statistics in two dimensions. Moreover, it inspired the connection between the Conformal field theory and topological phases in two dimensions: via this connection, the occurence of non-Abelian anyons in the fractional quantum Hall effect has been suggested.

===== 03/26/18 '''Supersolids: a short overview''' by Giovanni Martone =====
References: [https://journals-aps-org.proxy.scd.u-psud.fr/rmp/abstract/10.1103/RevModPhys.84.759 " Colloquium: Supersolids: What and where are they"by M. Boninsegni and N. V. Prokof'ev, " ], [https://journals-aps-org.proxy.scd.u-psud.fr/prl/abstract/10.1103/PhysRevLett.108.225301 "Quantum Tricriticality and Phase Transitions in Spin-Orbit Coupled Bose-Einstein Condensates" by Y. Li, L. P. Pitaevskii, and S. Stringari] and [https://www.nature.com/articles/nature21431 "A stripe phase with supersolid properties in spin-orbit-coupled Bose-Einstein condensates" by J. Li, J. Lee, W. Huang, S. Burchesky, B. Shteynas, F. Ç. Top, A. O. Jamison, and W. Ketterle]

===== 03/12/18 '''Dynamical Quantum phase transition''' by Guillaume Roux =====
References: [https://arxiv.org/pdf/1709.07461.pdf|''Dynamical quantum phase transitions: a review'' by M. Heyl ] and [https://arxiv.org/pdf/1701.08851.pdf|''Dynamical quantum phase transitions'' by A.A. Zvyagin]

Quantum journal club

2018-06-06T13:08:11Z

Bpandey: /* Monday June 18th by Maurizio Fagotti */

__NOTOC__
Seminar room, (about each 2 weeks) on Mondays @ 11:00am to 12:00am.

===== Monday July 9th by Bradraj Pandey =====

===== Monday June 18th by Maurizio Fagotti : Lieb-Robinson bounds =====

===== Monday June 4th : '''Quantum mechanics in multi-connected space and the origin of new statistics in low dimensional system''' by Raoul santachiara =====

We recall how to define the problem of N indinstinguishible quantum particles and argue that the topology of the configuration space plays a crucial role. This observation, that has been put on solid grounds by Leinaas and Mirheim in the 1977, has provided the theoretical framework for the existence of anyonic statistics in two dimensions. Moreover, it inspired the connection between the Conformal field theory and topological phases in two dimensions: via this connection, the occurence of non-Abelian anyons in the fractional quantum Hall effect has been suggested.

===== 03/26/18 '''Supersolids: a short overview''' by Giovanni Martone =====
References: [https://journals-aps-org.proxy.scd.u-psud.fr/rmp/abstract/10.1103/RevModPhys.84.759 " Colloquium: Supersolids: What and where are they"by M. Boninsegni and N. V. Prokof'ev, " ], [https://journals-aps-org.proxy.scd.u-psud.fr/prl/abstract/10.1103/PhysRevLett.108.225301 "Quantum Tricriticality and Phase Transitions in Spin-Orbit Coupled Bose-Einstein Condensates" by Y. Li, L. P. Pitaevskii, and S. Stringari] and [https://www.nature.com/articles/nature21431 "A stripe phase with supersolid properties in spin-orbit-coupled Bose-Einstein condensates" by J. Li, J. Lee, W. Huang, S. Burchesky, B. Shteynas, F. Ç. Top, A. O. Jamison, and W. Ketterle]

===== 03/12/18 '''Dynamical Quantum phase transition''' by Guillaume Roux =====
References: [https://arxiv.org/pdf/1709.07461.pdf|''Dynamical quantum phase transitions: a review'' by M. Heyl ] and [https://arxiv.org/pdf/1701.08851.pdf|''Dynamical quantum phase transitions'' by A.A. Zvyagin]

Quantum journal club

2018-03-19T13:12:18Z

Bpandey:

Seminar room, (each 2 weeks) on Mondays @ 11:00am to 12:00am.

===== 03/26/18 '''Supersolids: a short overview''' by Giovanni Martone =====
References: [https://journals-aps-org.proxy.scd.u-psud.fr/rmp/abstract/10.1103/RevModPhys.84.759 " Colloquium: Supersolids: What and where are they"by M. Boninsegni and N. V. Prokof'ev, " ], [https://journals-aps-org.proxy.scd.u-psud.fr/prl/abstract/10.1103/PhysRevLett.108.225301 "Quantum Tricriticality and Phase Transitions in Spin-Orbit Coupled Bose-Einstein Condensates" by Y. Li, L. P. Pitaevskii, and S. Stringari] and [https://www.nature.com/articles/nature21431 "A stripe phase with supersolid properties in spin-orbit-coupled Bose-Einstein condensates" by J. Li, J. Lee, W. Huang, S. Burchesky, B. Shteynas, F. Ç. Top, A. O. Jamison, and W. Ketterle]

===== 03/12/18 '''Dynamical Quantum phase transition''' by Guillaume Roux =====
Some references: [https://arxiv.org/pdf/1709.07461.pdf|''Dynamical quantum phase transitions: a review'' by M. Heyl ] and [https://arxiv.org/pdf/1701.08851.pdf|''Dynamical quantum phase transitions'' by A.A. Zvyagin]

Quantum journal club

2018-03-19T13:11:49Z

Bpandey:

Seminar room, (each 2 weeks) on Mondays @ 11:00am to 12:00am.

===== 03/26/18 '''Supersolids: a short overview''' by Giovanni Martone =====
References: [https://journals-aps-org.proxy.scd.u-psud.fr/rmp/abstract/10.1103/RevModPhys.84.759 " Colloquium: Supersolids: What and where are they"by M. Boninsegni and N. V. Prokof'ev, " ], " " [https://journals-aps-org.proxy.scd.u-psud.fr/prl/abstract/10.1103/PhysRevLett.108.225301 "Quantum Tricriticality and Phase Transitions in Spin-Orbit Coupled Bose-Einstein Condensates" by Y. Li, L. P. Pitaevskii, and S. Stringari] and [https://www.nature.com/articles/nature21431 "A stripe phase with supersolid properties in spin-orbit-coupled Bose-Einstein condensates" by J. Li, J. Lee, W. Huang, S. Burchesky, B. Shteynas, F. Ç. Top, A. O. Jamison, and W. Ketterle]

===== 03/12/18 '''Dynamical Quantum phase transition''' by Guillaume Roux =====
Some references: [https://arxiv.org/pdf/1709.07461.pdf|''Dynamical quantum phase transitions: a review'' by M. Heyl ] and [https://arxiv.org/pdf/1701.08851.pdf|''Dynamical quantum phase transitions'' by A.A. Zvyagin]

Quantum journal club

2018-03-19T13:11:19Z

Bpandey:

Quantum journal club

2018-03-19T13:10:18Z

Bpandey:

Seminar room, (each 2 weeks) on Mondays @ 11:00am to 12:00am.

===== 03/26/18 '''Supersolids: a short overview''' by Giovanni Martone =====
References: [https://journals-aps-org.proxy.scd.u-psud.fr/rmp/abstract/10.1103/RevModPhys.84.759 " Colloquium: Supersolids: What and where are they"by M. Boninsegni and N. V. Prokof'ev, " ], // [https://journals-aps-org.proxy.scd.u-psud.fr/prl/abstract/10.1103/PhysRevLett.108.225301 "Quantum Tricriticality and Phase Transitions in Spin-Orbit Coupled Bose-Einstein Condensates" by Y. Li, L. P. Pitaevskii, and S. Stringari] and [https://www.nature.com/articles/nature21431 "A stripe phase with supersolid properties in spin-orbit-coupled Bose-Einstein condensates" by J. Li, J. Lee, W. Huang, S. Burchesky, B. Shteynas, F. Ç. Top, A. O. Jamison, and W. Ketterle]

===== 03/12/18 '''Dynamical Quantum phase transition''' by Guillaume Roux =====
Some references: [https://arxiv.org/pdf/1709.07461.pdf|''Dynamical quantum phase transitions: a review'' by M. Heyl ] and [https://arxiv.org/pdf/1701.08851.pdf|''Dynamical quantum phase transitions'' by A.A. Zvyagin]

Quantum journal club

2018-03-19T13:08:31Z

Bpandey:

Quantum journal club

2018-03-19T11:30:31Z

Bpandey:

Seminar room, (each 2 weeks) on Mondays @ 11:00am to 12:00am.

===== 03/26/18 '''Supersolids: a short overview''' by Giovanni Martone =====

===== 03/12/18 '''Dynamical Quantum phase transition''' by Guillaume Roux =====
Some references: [https://arxiv.org/pdf/1709.07461.pdf|''Dynamical quantum phase transitions: a review'' by M. Heyl ] and [https://arxiv.org/pdf/1701.08851.pdf|''Dynamical quantum phase transitions'' by A.A. Zvyagin]