Stochastic simulations of fermionic dynamics with phase-space representations

Magnus Ögren, K.V. Kheruntsyan, J.F. Corney

Research output: Contribution to journalJournal articleResearchpeer-review


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: Molecular dissociation,Fermi–Bose system,First-principles numerical methods,Stochastic simulations,Quantum many-body dynamics,Fokker–Planck equation
Original languageEnglish
JournalComputer Physics Communications
Issue number9
Pages (from-to)1999-2003
Publication statusPublished - 2011
Externally publishedYes

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