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.
203-214
Ruostekoski, J.
2beb155e-64b0-4ee9-9cfe-079947a9c9f4
Martin, A.D.
642fdaf4-ea13-4e82-9ef1-a4bd5a507364
April 2013
Ruostekoski, J.
2beb155e-64b0-4ee9-9cfe-079947a9c9f4
Martin, A.D.
642fdaf4-ea13-4e82-9ef1-a4bd5a507364
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.
.
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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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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
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Date deposited: 08 Jun 2011 08:45
Last modified: 10 Dec 2021 19:22
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Contributors
Author:
A.D. Martin
Editor:
N. Proukakis
Editor:
S. Gardiner
Editor:
M. Davies
Editor:
M. Szymanska
Editor:
N. Nygaard
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