Stochastic simulations of fermionic dynamics with phase-space representations

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.

Final published version; Comput. Phys. Commun. (2011)

References in corpus (4)

• Atomic four-wave mixing via condensate collisions
• First-principles quantum simulations of dissociation of molecular condensates: Atom correlations in momentum space
• Systematic errors in Gaussian Quantum Monte Carlo and a systematic study of the symmetry projection method
• Gaussian phase-space representation of Fermion dynamics; Beyond the time-dependent-Hartree-Fock approximation

Cited by in corpus (7)

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• Linear entropy in quantum phase space
• Phase space methods for Majorana fermions
• The Nonequilibrium Many-Body Problem as a paradigm for extreme data science
• On the Dynamics of the Fermi-Bose Model
• Numerical simulations of NMR relaxation in chalk using local Robin boundary conditions
• Simulations of quantum dynamics with fermionic phase-space representations using numerical matrix factorizations as stochastic gauges