title: Time-reversal test for stochastic quantum dynamics.
abstract: The calculation of quantum dynamics is currently a central issue in theoretical physics, with diverse applications ranging from ultracold atomic Bose-Einstein condensates to condensed matter, biology, and even astrophysics. Here we demonstrate a conceptually simple method of determining the regime of validity of stochastic simulations of unitary quantum dynamics by employing a time-reversal test. We apply this test to a simulation of the evolution of a quantum anharmonic oscillator with up to 6.022x10(23) (Avogadro's number) of particles. This system is realizable as a Bose-Einstein condensate in an optical lattice, for which the time-reversal procedure could be implemented experimentally.
authors.affiliation: ARC Centre of Excellence for Quantum-Atom Optics, School of Physical Sciences, University of Queensland, Brisbane, QLD 4072, Australia.
authors.forename: Mark R
authors.initials: MR
authors.lastname: Dowling
authors.forename: Peter D
authors.initials: PD
authors.lastname: Drummond
authors.forename: Matthew J
authors.initials: MJ
authors.lastname: Davis
authors.forename: Piotr
authors.initials: P
authors.lastname: Deuar