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Open AccessArticle10.1103/physrevlett.87.210404

Classical-Field Method for Time Dependent Bose-Einstein Condensed Gases

Alice Sinatra,Carlos Lobo,Yvan Castin-2001-11-02-Physical Review Letters
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TL;DRAbstract

We propose a method to study the time evolution of Bose-Einstein condensed gases perturbed from an initial thermal equilibrium, based on the Wigner representation of the N-body density operator. We show how to generate a collection of random classical fields sampling the initial Wigner distribution in the number conserving Bogoliubov approximation. The fields are then evolved with the time dependent Gross-Pitaevskii equation. We illustrate the method with the damping of a collective excitation of a one-dimensional Bose gas.

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We propose a method to study the time evolution of Bose-Einstein condensed gases perturbed from an initial thermal equilibrium, based on the Wigner representation of the N-body density operator. We show how to generate a collection of random classical fields sampling the initial Wigner distribution in the number conserving Bogoliubov approximation. The fields are then evolved with the time dependent Gross-Pitaevskii equation. We illustrate the method with the damping of a collective excitation of a one-dimensional Bose gas.

Keywords

PhysicsBose–Einstein condensateTime evolutionExcitationOperator (biology)Field (mathematics)Bose–Einstein statisticsBose gas

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