Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/50067

Title

First-principles quantum dynamics in interacting Bose gases I: the positive P representation

Author(s)

Deuar, P.;  Drummond, P. D.

Abstract

The performance of the positive P phase-space representation for exact many-body quantum dynamics is investigated. Gases of interacting bosons are considered, where the full quantum equations to simulate are of a Gross-Pitaevskii form with added Gaussian noise. This method gives tractable simulations of many-body systems because the number of variables scales linearly with the spatial lattice size. An expression for the useful simulation time is obtained, and checked in numerical simulations. The dynamics of first-, second- and third-order spatial correlations are calculated for a uniform interacting 1D Bose gas subjected to a change in scattering length. Propagation of correlations is seen. A comparison is made with other recent methods. The positive P method is particularly well suited to open systems as no conservation laws are hard-wired into the calculation. It also differs from most other recent approaches in that there is no truncation of any kind.

Publication type

Journal article

Source

Journal of Physics A: Mathematical and General, Vol. 39, no. 5 (2006), pp. 1163-1181

Publication year

2006

FOR Code(s)

0206 Quantum Physics

Keyword(s)

Bose gas;  Quantum dynamics

Publisher

Institute of Physics Publishing

ISSN

0305-4470

Publisher URL

http://dx.doi.org/10.1088/0305-4470/39/5/010

Copyright

Copyright © 2006 IOP Publishing.

Peer reviewed