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Stochastic simulations of fermionic dynamics with phase-space representations
ARC Centre of Excellence for Quantum-Atom Optics, School of Mathematics and Physics, University of Queensland, Brisbane, Australia.ORCID iD: 0000-0002-2630-7479
ARC Centre of Excellence for Quantum-Atom Optics, School of Mathematics and Physics, University of Queensland, Brisbane, Australia.
ARC Centre of Excellence for Quantum-Atom Optics, School of Mathematics and Physics, University of Queensland, Brisbane, Australia.
2011 (English)In: Computer Physics Communications, ISSN 0010-4655, E-ISSN 1879-2944, Vol. 182, no 9, p. 1999-2003Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier, 2011. Vol. 182, no 9, p. 1999-2003
Keywords [en]
Quantum many-body dynamics; First-principles numerical methods; Stochastic simulations; Fokker-Planck equation; Fermi-Bose system; Molecular dissociation
National Category
Condensed Matter Physics Atom and Molecular Physics and Optics Computational Mathematics
Identifiers
URN: urn:nbn:se:oru:diva-65562DOI: 10.1016/j.cpc.2010.10.026ISI: 000292675100055Scopus ID: 2-s2.0-79958111973OAI: oai:DiVA.org:oru-65562DiVA, id: diva2:1188580
Note

Funding Agencies:

Australian Research Council  

University of Queensland 

Available from: 2018-03-07 Created: 2018-03-07 Last updated: 2018-03-14Bibliographically approved

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Ögren, Magnus

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CiteExportLink to record
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Citation style
  • apa
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  • Other style
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  • de-DE
  • en-GB
  • en-US
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  • nn-NO
  • nn-NB
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Output format
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  • asciidoc
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