Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap

Claude M. Dion; Eric Cancès

Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap

Claude M. Dion
, Eric Cancès

Université Paris Est, ENPC LIGM, IMAGINE

Research output: Contribution to journal › Article › peer-review

Abstract

The numerical resolution of the time-dependent Gross-Pitaevskii equation, a nonlinear Schrödinger equation used to simulate the dynamics of Bose-Einstein condensates, was studied. Considering condensates trapped in harmonic potentials, an efficient algorithm was presented by making use of spectral-Galerkin method. The algorithm was applied to the simulation of condensate breathing and scissor modes.

Original language	English
Article number	046706
Pages (from-to)	467061-467069
Number of pages	9
Journal	Physical Review E
Volume	67
Issue number	4 2
Publication status	Published - 1 Apr 2003

Cite this

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title = "Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap",

abstract = "The numerical resolution of the time-dependent Gross-Pitaevskii equation, a nonlinear Schr{\"o}dinger equation used to simulate the dynamics of Bose-Einstein condensates, was studied. Considering condensates trapped in harmonic potentials, an efficient algorithm was presented by making use of spectral-Galerkin method. The algorithm was applied to the simulation of condensate breathing and scissor modes.",

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N2 - The numerical resolution of the time-dependent Gross-Pitaevskii equation, a nonlinear Schrödinger equation used to simulate the dynamics of Bose-Einstein condensates, was studied. Considering condensates trapped in harmonic potentials, an efficient algorithm was presented by making use of spectral-Galerkin method. The algorithm was applied to the simulation of condensate breathing and scissor modes.

AB - The numerical resolution of the time-dependent Gross-Pitaevskii equation, a nonlinear Schrödinger equation used to simulate the dynamics of Bose-Einstein condensates, was studied. Considering condensates trapped in harmonic potentials, an efficient algorithm was presented by making use of spectral-Galerkin method. The algorithm was applied to the simulation of condensate breathing and scissor modes.

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JF - Physical Review E

IS - 4 2

M1 - 046706

ER -

Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap

Abstract

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