Monte Carlo method, classical fields and Bose statistics

Witkowska, Emilia; Gajda, Mariusz; Rza̧żewski, Kazimierz

doi:10.1016/j.optcom.2009.10.080

Cited by 24 publications

(37 citation statements)

References 28 publications

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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%

Statistical properties of cold bosons in a ring trap

2020

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A study of an interacting system of bosons in a ring trap at a finite temperature is presented. We consider a gas with contact and long-range dipolar interactions within a framework of the classical fields approximation. For a repulsive gas we have obtained coherence length, population of the ground state and its fluctuations as a function of temperature. In the case of an attractive gas we study local density fluctuations. Additionally, we exactly calculate the partition function for the ideal gas in the canonical ensemble and derive several other macroscopic state functions.

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Section: The Modelmentioning

confidence: 99%

Statistical properties of cold bosons in a ring trap

2020

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“…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%

Dipolar dark solitons

Pawłowski

Rza̧żewski

2015

New J. Phys.

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We numerically generate and then study the basic properties of dark soliton-like excitations in a dipolar gas confined in a quasi one-dimensional trap. These excitations, although very similar to dark solitons in a gas with contact interaction, interact with each other and can form bound states. During collisions these dipolar solitons emit phonons, losing energy but accelerating. Even after thousands of subsequent collisions they survive as gray solitons and finally reach dynamical equilibrium with background quasiparticles. Finally, in the frame of classical field approximation, we verified, that these solitons appear spontaneously in thermal samples, analogously to the type II excitations in a gas of atoms with contact interaction.

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“…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%