Sonic horizon formation for coupled one-dimensional Bose-Einstein condensate in an elongated harmonic potential

Ying Wang; Shuyu Zhou

doi:10.1142/S0217984918503529

Sonic horizon formation for coupled one-dimensional Bose-Einstein condensate in an elongated harmonic potential

Ying Wang, Shuyu Zhou

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

Abstract

We theoretically studied the sonic horizon formation problem for coupled one-dimensional Bose-Einstein condensate trapped in an external elongated harmonic potential. Based on the coupled (1+1)-dimensional Gross-Pitaevskii equation and F-expansion method under Thomas-Fermi formulation, we derived analytical wave functions of a two-component system, from which the sonic horizon's occurrence criteria and location were derived and graphically demonstrated. The theoretically derived results of sonic horizon formation agree pretty well with that from the numerically calculated values.

Original language	English
Article number	1850352
Journal	Modern Physics Letters B
Volume	32
Issue number	29
DOIs	https://doi.org/10.1142/S0217984918503529
State	Published - 20 Oct 2018
Externally published	Yes

Keywords

Bose-Einstein condensate
Gross-Pitaevskii equation
Sonic horizon

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Condensed Matter Physics

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10.1142/S0217984918503529

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title = "Sonic horizon formation for coupled one-dimensional Bose-Einstein condensate in an elongated harmonic potential",

abstract = "We theoretically studied the sonic horizon formation problem for coupled one-dimensional Bose-Einstein condensate trapped in an external elongated harmonic potential. Based on the coupled (1+1)-dimensional Gross-Pitaevskii equation and F-expansion method under Thomas-Fermi formulation, we derived analytical wave functions of a two-component system, from which the sonic horizon's occurrence criteria and location were derived and graphically demonstrated. The theoretically derived results of sonic horizon formation agree pretty well with that from the numerically calculated values.",

keywords = "Bose-Einstein condensate, Gross-Pitaevskii equation, Sonic horizon",

author = "Ying Wang and Shuyu Zhou",

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AU - Wang, Ying

AU - Zhou, Shuyu

PY - 2018/10/20

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AB - We theoretically studied the sonic horizon formation problem for coupled one-dimensional Bose-Einstein condensate trapped in an external elongated harmonic potential. Based on the coupled (1+1)-dimensional Gross-Pitaevskii equation and F-expansion method under Thomas-Fermi formulation, we derived analytical wave functions of a two-component system, from which the sonic horizon's occurrence criteria and location were derived and graphically demonstrated. The theoretically derived results of sonic horizon formation agree pretty well with that from the numerically calculated values.

KW - Bose-Einstein condensate

KW - Gross-Pitaevskii equation

KW - Sonic horizon

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DO - 10.1142/S0217984918503529

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Sonic horizon formation for coupled one-dimensional Bose-Einstein condensate in an elongated harmonic potential

Abstract

Keywords

ASJC Scopus subject areas

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