The time-reversal test for stochastic quantum dynamics

Details The time-reversal test for stochastic quantum dynamics The time-reversal test for stochastic quantum dynamics

2004-11-26

arxiv.org/abs/quant-ph/0411185v1

Phys. Rev. Lett. 94, 130401 (2005)

Physics

Quantum Physics

revtex4, two figures, four pages

Scientific paper

10.1103/PhysRevLett.94.130401

The calculation of quantum dynamics is currently a central issue in theoretical physics, with diverse applications ranging from ultra-cold atomic Bose-Einstein condensates (BEC) 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 $6.022\times10^{23}$ (Avogadro's number) of particles. This system is realisable as a Bose-Einstein condensate in an optical lattice, for which the time-reversal procedure could be implemented experimentally.

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