Sigmund Heller and Walter T Strunz 2009 J. Phys. B: At. Mol. Opt. Phys. 42 081001 doi:10.1088/0953-4075/42/8/081001
Stochastic field equation for the canonical ensemble of an ideal Bose gas
FREE ARTICLESigmund Heller and Walter T Strunz
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We present a novel norm preserving stochastic evolution equation for a Bose field at finite temperature. Ensemble averages are quantum expectation values in the canonical ensemble. This numerically very stable equation suppresses high-energy fluctuations exponentially, which prevent cutoff problems from occurring. We present 3D simulations for an ideal gas in various trapping potentials and focus on ground-state occupation numbers and spatial correlation functions for a wide range of temperatures above and below the critical temperature. Although rigorously valid for non-interacting bosons only, we argue that weakly interacting Bose gases may also be amenable to this approach, in the usual mean-field approximation.
- PACS
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05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
- Subjects
- Dates
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Issue 8 (28 April 2009)
Received 6 February 2009, in final form 11 March 2009
Published 30 March 2009
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Stochastic field equation for the canonical ensemble of an ideal Bose gas
Sigmund Heller and Walter T Strunz 2009 J. Phys. B: At. Mol. Opt. Phys. 42 081001
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