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Truncated Wigner method for Bose gases

Truncated Wigner method for Bose gases
Truncated Wigner method for Bose gases
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.
1
203-214
Imperial College Press
Ruostekoski, J.
2beb155e-64b0-4ee9-9cfe-079947a9c9f4
Martin, A.D.
642fdaf4-ea13-4e82-9ef1-a4bd5a507364
Proukakis, N.
Gardiner, S.
Davies, M.
Szymanska, M.
Nygaard, N.
Ruostekoski, J.
2beb155e-64b0-4ee9-9cfe-079947a9c9f4
Martin, A.D.
642fdaf4-ea13-4e82-9ef1-a4bd5a507364
Proukakis, N.
Gardiner, S.
Davies, M.
Szymanska, M.
Nygaard, N.

Ruostekoski, J. and Martin, A.D. (2013) Truncated Wigner method for Bose gases. Proukakis, N., Gardiner, S., Davies, M., Szymanska, M. and Nygaard, N. (eds.) In Quantum Gases: Finite Temperature and Non-Equilibrium Dynamics. Imperial College Press. pp. 203-214 .

Record type: Conference or Workshop Item (Paper)

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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More information

Published date: April 2013
Venue - Dates: FINESS 2009, 2013-03-31
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 189955
URI: http://eprints.soton.ac.uk/id/eprint/189955
PURE UUID: ac524198-c23b-4760-b062-77e30558eb08

Catalogue record

Date deposited: 08 Jun 2011 08:45
Last modified: 08 Nov 2021 19:19

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Contributors

Author: J. Ruostekoski
Author: A.D. Martin
Editor: N. Proukakis
Editor: S. Gardiner
Editor: M. Davies
Editor: M. Szymanska
Editor: N. Nygaard

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