Truncated Wigner method for Bose gases

Ruostekoski, J. and Martin, A.D. (2013) Truncated Wigner method for Bose gases. In: Quantum Gases. Cold Atoms . Imperial College Press, pp. 203-214. ISBN 9781848168107

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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 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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27 Feb 2018 11:44
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21 Nov 2022 16:27