Quantum journal club - Revision history

Roux at 14:13, 30 August 2019

2019-08-30T14:13:19Z

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	Mondays @11:00 am		Mondays @11:00 am

Roux at 14:13, 30 August 2019

2019-08-30T14:13:04Z

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	Mondays @11:00 am		Mondays @11:00 am

			===== " When the intuition betrays or saves: messages from the 1d world " by Serguei Brazovskii =====

	'''09/16/19 @LPTMS seminar room'''<br>		'''09/16/19 @LPTMS seminar room'''<br>
	'''09/23/19 @LPS salle de réunion 2ème étage'''		'''09/23/19 @LPS salle de réunion 2ème étage'''
	~~===== " When the intuition betrays or saves: messages from the 1d world " by Serguei Brazovskii =====~~

	Series of two lectures with four excursions.		''Series of two lectures with four excursions.''

	Theory of (quasi) one-dimensional electronic systems attracts us thanks to its special facilities but also because of some specific curiosities. In these excursions we shall meet some examples of not quite expected relations, difficulties and even mistakes which one can pickup from the half-a-century history of this field.		Theory of (quasi) one-dimensional electronic systems attracts us thanks to its special facilities but also because of some specific curiosities. In these excursions we shall meet some examples of not quite expected relations, difficulties and even mistakes which one can pickup from the half-a-century history of this field.

Roux at 14:12, 30 August 2019

2019-08-30T14:12:43Z

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	~~=====~~ 09/16/19 (@LPTMS seminar room~~) &~~ 09/16/19 (@LPS salle de réunion 2ème étage~~) :~~ " When the intuition betrays or saves: messages from the 1d world " by Serguei Brazovskii =====		'''09/16/19 @LPTMS seminar room'''<br>
			'''09/23/19 @LPS salle de réunion 2ème étage'''
			===== " When the intuition betrays or saves: messages from the 1d world " by Serguei Brazovskii =====

	Series of two lectures with four excursions.		Series of two lectures with four excursions.

Roux at 14:11, 30 August 2019

2019-08-30T14:11:39Z

← Older revision		Revision as of 16:11, 30 August 2019
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	Mondays @11:00 am		Mondays @11:00 am

	===== 09/16/19 (@LPTMS seminar room) & 09/16/19 (@LPS ) : " When the intuition betrays or saves: messages from the 1d world " by Serguei Brazovskii =====		===== 09/16/19 (@LPTMS seminar room) & 09/16/19 (@LPS salle de réunion 2ème étage) : " When the intuition betrays or saves: messages from the 1d world " by Serguei Brazovskii =====

	Series of two lectures with four excursions.		Series of two lectures with four excursions.

Roux at 14:01, 30 August 2019

2019-08-30T14:01:39Z

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-Seminar room, (about each 2 weeks) on Mondays @ 11:00am to 12:00am.
+Mondays @11:00 am
 ===== 04/15/19 : " Semiclassical expectation value for an out of equilibrium system "  by Denis Ullmo =====

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

2019-08-30T11:59:47Z

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

← Older revision		Revision as of 13:59, 30 August 2019
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	===== 11/26/18 : " Correlations of occupation numbers in the canonical ensemble " by Christophe Texier =====		===== 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.		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 <math>\overline{n_1\cdots n_p}</math> 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.		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.		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.

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

2019-08-28T15:57:14Z

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

← Older revision		Revision as of 17:57, 28 August 2019
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	Correlations of occupation numbers in the canonical ensemble and application to BEC in a 1D harmonic trap,		Correlations of occupation numbers in the canonical ensemble and application to BEC in a 1D harmonic trap,
	Phys. Rev. A 97, 053615 (2018).		Phys. Rev. A 97, 053615 (2018).


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

Roux at 15:56, 28 August 2019

2019-08-28T15:56:13Z

← Older revision		Revision as of 17:56, 28 August 2019
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	__NOTOC__		__NOTOC__

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

			===== 04/15/19 : " Semiclassical expectation value for an out of equilibrium system " by Denis Ullmo =====

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

Bpandey at 08:59, 12 November 2018

2018-11-12T08:59:59Z

← Older revision		Revision as of 10:59, 12 November 2018
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	Seminar room, (about each 2 weeks) on Mondays @ 11:00am to 12:00am.		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 =====		===== 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.		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.

Bpandey at 08:59, 12 November 2018

2018-11-12T08:59:17Z

← Older revision		Revision as of 10:59, 12 November 2018
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	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.		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.		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,		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,		Correlations of occupation numbers in the canonical ensemble and application to BEC in a 1D harmonic trap,