Canonical Bose gas simulations with stochastic gauges
P.D. Drummond, P. Deuar, K.V. Kheruntsyan
TL;DR
This paper introduces a stochastic gauge method for simulating grand canonical ensembles of interacting Bose gases, capturing quantum correlations and enabling calculations of spatial and momentum correlations across various temperatures.
Contribution
It presents a novel stochastic gauge technique based on off-diagonal coherent-state expansion for simulating interacting Bose gases.
Findings
Calculated second order spatial correlation function
Determined momentum distribution for 1D Bose gas
Validated method across multiple temperatures
Abstract
A technique to simulate the grand canonical ensembles of interacting Bose gases is presented. Results are generated for many temperatures by averaging over energy-weighted stochastic paths, each corresponding to a solution of coupled Gross-Pitaevskii equations with phase-noise. The stochastic gauge method used relies on an off-diagonal coherent-state expansion, thus taking into account all quantum correlations. As an example, the second order spatial correlation function and momentum distribution for an interacting 1D Bose gas are calculated.
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