2010
DOI: 10.1016/j.optcom.2009.10.080
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Monte Carlo method, classical fields and Bose statistics

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Cited by 24 publications
(37 citation statements)
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“…First, to get the states from the thermal equilibrium distribution of the canonical ensemble we decided to use Metropolis algorithm [17] implemented as described in [18] with code available here [19]. We compare these results to those obtained from the time evolution of equations (5).…”
Section: The Modelmentioning
confidence: 99%
“…First, to get the states from the thermal equilibrium distribution of the canonical ensemble we decided to use Metropolis algorithm [17] implemented as described in [18] with code available here [19]. We compare these results to those obtained from the time evolution of equations (5).…”
Section: The Modelmentioning
confidence: 99%
“…More precisely, in each realization, the initial wave-function reads )is the chemical potential. The cut-off k max is chosen such that with the classical field method one would recover the quantum results at least for the ideal gas [29,30]. The expansion coefficients k a should be drawn from the thermal classical distribution.…”
Section: Y( )mentioning
confidence: 99%
“…Physically, these terms describe the interaction between quasiparticles that leads to their instability. In a recent paper [8], we have shown how to calculate the statistical properties of the weakly interacting Bose gas, retaining full value of the interaction energy. To this end, we have proposed to use the so-called classical field approximation [9].…”
Section: Introductionmentioning
confidence: 99%
“…In [8] we have applied the classical field approach to describe the statistical properties of weakly interacting bosons, again confined in a box with the periodic boundary conditions. In this paper we extend the Monte Carlo method to an experimentally relevant, one-dimensional, weakly interacting Bose gas trapped in a harmonic potential.…”
Section: Introductionmentioning
confidence: 99%