publications

Simulation of complete many-body quantum dynamics using controlled quantum-semiclassical hybrids

Piotr Deuar 1 Physical Review Letters 103 (2009) 130402 A controlled hybridization between full quantum dynamics and semiclassical approaches (mean-field and truncated Wigner) is implemented for interacting many-boson systems. It is then demonstrated how simulating the resulting hybrid evolution equations allows one to obtain the full quantum dynamics for much longer times than is possible using an

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Scattering Theory Approach to Electrodynamic Casimir Forces

Sahand Jamal Rahi 1, 2, Thorsten Emig 1, 2, 3, 4, Noah Graham 5, Robert L. Jaffe 1, 6, Mehran Kardar 1, 7 Physical Review D 80 (2009) 085021 We give a comprehensive presentation of methods for calculating the Casimir force to arbitrary accuracy, for any number of objects, arbitrary shapes, susceptibility functions, and separations. The technique is applicable to objects immersed in media other than vacuum, nonzero temperatures, and spatial

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Return probabilities and hitting times of random walks on sparse Erdos-Renyi graphs

O. C. Martin 1, 2, P. Sulc 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 81 (2009) 031111 We consider random walks on random graphs, focusing on return probabilities and hitting times for sparse Erdos-Renyi graphs. We show how to solve for the distribution of these quantities in the thermodynamic limit and we find that these distributions exhibit

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Relating Jack wavefunctions to WA_{k-1} theories

Benoit Estienne 1, Raoul Santachiara 2 Journal of Physics A Mathematical and Theoretical 42 (2009) 445209 The (k,r)-admissible Jack polynomials, recently proposed as many-body wavefunctions for non-Abelian fractional quantum Hall systems, have been conjectured to be related to some correlation functions of the minimal model WA_{k-1}(k+1,k+r) of the WA_{k-1} algebra. By studying the degenerate representations of the WA_{k-1}(k+1,k+r) theory,

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Random matrix ensembles associated with Lax matrices

E. Bogomolny 1, Olivier Giraud 2, C. Schmit 1 Physical Review Letters 103 (2009) 054103 A method to generate new classes of random matrix ensembles is proposed. Random matrices from these ensembles are Lax matrices of classically integrable systems with a certain distribution of momenta and coordinates. The existence of an integrable structure permits to calculate the joint distribution of eigenvalues

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Random Hierarchical Matrices: Spectral Properties and Relation to Polymers on Disordered Trees

V. A. Avetisov 1, A. Kh. Bikulov 2, S. K. Nechaev 3 Journal of Physics A Mathematical and Theoretical 42 (2009) 075001 We study the statistical and dynamic properties of the systems characterized by an ultrametric space of states and translationary non-invariant symmetric transition matrices of the Parisi type subjected to ‘locally constant’ randomization. Using the explicit expression for eigenvalues of

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Quenches in quantum many-body systems: One-dimensional Bose-Hubbard model reexamined

Guillaume Roux 1, 2 Physical Review A: Atomic, Molecular and Optical Physics 79 (2009) 021608 When a quantum many-body system undergoes a quench, the time-averaged density-matrix $\rho$ governs the time-averaged expectation value of any observable. It is therefore the key object to look at when comparing results with equilibrium predictions. We show that the weights of $\rho$ can

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