Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Optics Communications

Monte Carlo method, classical fields and Bose statistics

Emilia Witkowska, Mariusz Gajda, Kazimierz Rza̧żewski

Published Nov 12, 2009• 22 citations
Publisher
DOI
10.1016/j.optcom.2009.10.080

Related papers

Condensate Statistics in One-Dimensional Interacting Bose Gases: Exact Results

Iacopo Carusotto, Yvan Castin

Recently, a quantum Monte Carlo method alternative to the path integral Monte Carlo method was developed for solving the N-boson problem; it is based on the stochastic evolution of classical fields. Here we apply it to obtain exact results for the occupation statistics of the condensate mode in a weakly interacting trapped one-dimensional Bose gas. The temperature is varied across the critical region down to temperatures lower than the trap level spacing. We also derive the condensate statistics in the Bogoliubov theory: this reproduces the exact results at low temperature and explains the suppression of odd numbers of noncondensed particles at T approximately 0.

arXiv:cond-mat/0206211•Physical Review Letters•Jan 22, 2003•33 citations

INVESTIGATIONS IN QUANTUM MONTE CARLO

Matthew Clifford Wilson

•Feb 2, 2007•0 citations

Monte Carlo Methods in Quantum Problems

Malvin H. Kalos

Springer eBooks•Jan 1, 1984•154 citations

Statistical properties of one-dimensional Bose gas

Przemysław Bienias, Krzysztof Pawłowski, Mariusz Gajda +1 more

The Monte Carlo method within the so-called classical field approximation is applied to one-dimensional, weakly interacting, repulsive Bose gas trapped in a harmonic potential. Equilibrium statistical properties of the condensate are calculated within a canonical ensemble. We also calculate experimentally relevant, low-order correlation functions of the whole gas.

arXiv:1008.3277•Physical Review A•Mar 14, 2011•20 citations

Quantum Field Theory and Statistical Mechanics

James G. Glimm, Arthur M. Jaffe

Birkhäuser Boston eBooks•Jan 1, 1985•29 citations

Statistical properties of one-dimensional attractive Bose gas

P. Bienias, Krzysztof Pawłowski, Mariusz Gajda +1 more

Using the classical field approximation we present the first study of statistical properties of one-dimensional Bose gas with attractive interaction. The canonical probability distribution is generated with the help of a Monte Carlo method. This way we obtain not only the depletion of the condensate with growing temperature but also its fluctuations. The most important is our discovery of a reduced coherence length, the phenomenon observed earlier only for the repulsive gas, known as quasicondensation.

arXiv:1103.4017•Europhysics Letters (EPL)•Sep 22, 2011•21 citations
Recently, a quantum Monte Carlo method alternative to the path integral Monte Carlo method was developed for solving the N-boson problem; it is based on the stochastic evolution of classical fields. Here we apply it to obtain exact results for the occupation statistics of the condensate mode in a weakly interacting trapped one-dimensional Bose gas. The temperature is varied across the critical region down to temperatures lower than the trap level spacing. We also derive the condensate statistics in the Bogoliubov theory: this reproduces the exact results at low temperature and explains the suppression of odd numbers of noncondensed particles at T approximately 0.
Using the classical field approximation we present the first study of statistical properties of one-dimensional Bose gas with attractive interaction. The canonical probability distribution is generated with the help of a Monte Carlo method. This way we obtain not only the depletion of the condensate with growing temperature but also its fluctuations. The most important is our discovery of a reduced coherence length, the phenomenon observed earlier only for the repulsive gas, known as quasicondensation.