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Classical-field method for time dependent Bose-Einstein condensed gases

Classical-field method for time dependent Bose-Einstein condensed gases
Classical-field method for time dependent Bose-Einstein condensed gases
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
210404-[4pp]
Sinatra, Alice
4cebef2a-dd86-4f3c-9598-9fd8a7c4e5f8
Lobo, Carlos
cde7843a-c00b-4242-a8cd-1abb2dfe0703
Castin, Yvan
2c37c4b6-214d-40df-82c1-9d327d0098ec
Sinatra, Alice
4cebef2a-dd86-4f3c-9598-9fd8a7c4e5f8
Lobo, Carlos
cde7843a-c00b-4242-a8cd-1abb2dfe0703
Castin, Yvan
2c37c4b6-214d-40df-82c1-9d327d0098ec

Sinatra, Alice, Lobo, Carlos and Castin, Yvan (2001) Classical-field method for time dependent Bose-Einstein condensed gases. Physical Review Letters, 87 (21), 210404-[4pp]. (doi:10.1103/PhysRevLett.87.210404).

Record type: Article

Abstract

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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Published date: 2001
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 205913
URI: http://eprints.soton.ac.uk/id/eprint/205913
DOI: doi:10.1103/PhysRevLett.87.210404
PURE UUID: 81a78e9d-4df7-4db6-8f41-470513911c86
ORCID for Carlos Lobo: ORCID iD orcid.org/0000-0001-7060-3905

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Date deposited: 15 Dec 2011 09:50
Last modified: 15 Mar 2024 03:32

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Author: Alice Sinatra
Author: Carlos Lobo ORCID iD
Author: Yvan Castin

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