Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-12-07
J. Phys. A: Math. Gen. 39, 1163 (2006)
Physics
Condensed Matter
Statistical Mechanics
21 pages, 7 figures, 2 tables, IOP style
Scientific paper
10.1088/0305-4470/39/5/010
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 to 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.
Deuar Piotr
Drummond Peter D.
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