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Quantum Simulation

Truncated Wigner method for Bose gases

arXiv
Authors: J. Ruostekoski, A. D. Martin

Year

2010

Paper ID

11402

Status

Preprint

Abstract Read

~2 min

Abstract Words

88

Citations

N/A

Abstract

We discuss stochastic phase-space methods within the truncated Wigner approximation and show explicitly that they can be used to solve non-equilibrium dynamics of bosonic atoms in one-dimensional traps. We consider systems both with and without an optical lattice, and address different approximations in the stochastic synthesization of quantum statistical correlations of the initial atomic field. We also present a numerically efficient projection method for analyzing correlation functions of the simulation results, and demonstrate physical examples of non-equilibrium quantum dynamics of solitons and atom number squeezing in optical lattices.

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  • We discuss stochastic phase-space methods within the truncated Wigner approximation and show explicitly that they can be used to solve non-equilibrium dynamics of bosonic atoms...

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