Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/50040

Download PDF (Published version) (Adobe Acrobat PDF, -1 bytes)

Title

Time-reversal test for stochastic quantum dynamics

Author(s)

Dowling, Mark R.;  Drummond, P. D.;  Davis, Matthew J.;  Deuar, Piotr

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 6.022 x 10^23 (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.

Publication type

Journal article

Source

Physical Review Letters, Vol. 94, no. 13 (2005), article no. 130401

Publication year

2005

FOR Code(s)

02 Physical Sciences

Keyword(s)

Chaos theory;  Computer simulation;  Differential equations;  Error analysis;  Hamiltonians;  Harmonic generation;  Hilbert space;  Mathematical operators;  Monte Carlo methods;  Oscillations;  Quantum theory;  Stochastic programming;  Stochastic quantum dynamics;  Stochastic simulations;  Time-reversal test

Publisher

American Physical Society

ISSN

0031-9007

Publisher URL

http://dx.doi.org/10.1103/PhysRevLett.94.130401

Copyright

Copyright © 2005 The American Physical Society. Published version of this paper reproduced here in accordance with the copyright policy of the publisher.

Full text

Peer reviewed