Bose-Einstein condensates in standing waves: The cubic nonlinear Schrodinger equation with a periodic potential

Jared C. Bronski; Lincoln D. Carr; Bernard Deconinck; J. Nathan Kutz

doi:10.1103/PhysRevLett.86.1402

Bose-Einstein condensates in standing waves: The cubic nonlinear Schrodinger equation with a periodic potential

Jared C. Bronski, Lincoln D. Carr, Bernard Deconinck, J. Nathan Kutz

Mathematics

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

Abstract

A cubic nonlinear Schrodinger (NLS) equation was used to model a dilute-gas Bose-Einstein condensate (BEC) in the quasi one-dimensional regime. The cubic NLS equation shows how the quasi-one-dimensional dilute gas BEC is trapped in a standing light wave. The stability of trivial and nontrivial phase solutions depend on the fact that ratio of the height of the variation of the condensate to its dc offset was small.

Original language	English (US)
Pages (from-to)	1402-1405
Number of pages	4
Journal	Physical review letters
Volume	86
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevLett.86.1402
State	Published - Feb 19 2001

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Physics and Astronomy(all)

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10.1103/PhysRevLett.86.1402

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abstract = "A cubic nonlinear Schrodinger (NLS) equation was used to model a dilute-gas Bose-Einstein condensate (BEC) in the quasi one-dimensional regime. The cubic NLS equation shows how the quasi-one-dimensional dilute gas BEC is trapped in a standing light wave. The stability of trivial and nontrivial phase solutions depend on the fact that ratio of the height of the variation of the condensate to its dc offset was small.",

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Bose-Einstein condensates in standing waves: The cubic nonlinear Schrodinger equation with a periodic potential

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