Stochastic simulations of fermionic dynamics with phase-space representations

Ögren, M., Kheruntsyan, K. V. and Corney, J. F. (2011) Stochastic simulations of fermionic dynamics with phase-space representations. Computer Physics Communications, 182 9: 1999-2003. doi:10.1016/j.cpc.2010.10.026


Author Ögren, M.
Kheruntsyan, K. V.
Corney, J. F.
Title Stochastic simulations of fermionic dynamics with phase-space representations
Journal name Computer Physics Communications   Check publisher's open access policy
ISSN 0010-4655
1879-2944
Publication date 2011-09
Sub-type Article (original research)
DOI 10.1016/j.cpc.2010.10.026
Volume 182
Issue 9
Start page 1999
End page 2003
Total pages 5
Place of publication Amsterdam, The Netherlands
Publisher Elsevier BV * North-Holland
Collection year 2012
Language eng
Formatted abstract
A Gaussian operator basis provides a means to formulate phase-space simulations of the real- and imaginary-time evolution of quantum systems. Such simulations are guaranteed to be exact while the underlying distribution remains well-bounded, which defines a useful simulation time. We analyse the application of the Gaussian phase-space representation to the dynamics of the dissociation of an ultra-cold molecular gas. We show how the choice of mapping to stochastic differential equations can be used to tailor the stochastic behaviour, and thus the useful simulation time. In the phase-space approach, it is only averages of stochastic trajectories that have a direct physical meaning. Whether particular constants of the motion are satisfied by individual trajectories depends on the choice of mapping, as we show in examples.
Keyword Quantum many-body dynamics
First-principles numerical methods
Stochastic simulations
Fokker–Planck equation
Fermi–Bose system
Molecular dissociation
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Available online 28 October 2010.

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2012 Collection
 
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Created: Fri, 05 Aug 2011, 13:20:58 EST by Dr Karen Kheruntsyan on behalf of School of Mathematics & Physics