Dynamics of a trapped 2D Bose-Einstein condensate with periodically and randomly varying atomic scattering length

F. Kh Abdullaev; J. C. Bronski; R. M. Galimzyanov

doi:10.1016/S0167-2789(03)00228-8

Dynamics of a trapped 2D Bose-Einstein condensate with periodically and randomly varying atomic scattering length

F. Kh Abdullaev, J. C. Bronski, R. M. Galimzyanov

Mathematics

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

Abstract

In this work we consider the oscillations and associated resonance of a 2D Bose-Einstein condensate under periodic and random modulations of the atomic scattering length. For random oscillations of the trap potential and of the atomic scattering length we are able to calculate the mean growth rate for the width of the condensate. The results obtained from the reduced ODEs for oscillations of the width of condensate are compared with the numerical simulations of the full 2D Gross-Pitaevskii equation with modulated in time coefficients.

Original language	English (US)
Pages (from-to)	319-332
Number of pages	14
Journal	Physica D: Nonlinear Phenomena
Volume	184
Issue number	1-4
DOIs	https://doi.org/10.1016/S0167-2789(03)00228-8
State	Published - Oct 1 2003

Keywords

Bose-Einstein condensate
Gross-Pitaevski equation
Random perturbation
Resonance
Scattering length
Trap potential

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

Online availability

10.1016/S0167-2789(03)00228-8

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title = "Dynamics of a trapped 2D Bose-Einstein condensate with periodically and randomly varying atomic scattering length",

abstract = "In this work we consider the oscillations and associated resonance of a 2D Bose-Einstein condensate under periodic and random modulations of the atomic scattering length. For random oscillations of the trap potential and of the atomic scattering length we are able to calculate the mean growth rate for the width of the condensate. The results obtained from the reduced ODEs for oscillations of the width of condensate are compared with the numerical simulations of the full 2D Gross-Pitaevskii equation with modulated in time coefficients.",

keywords = "Bose-Einstein condensate, Gross-Pitaevski equation, Random perturbation, Resonance, Scattering length, Trap potential",

author = "Abdullaev, {F. Kh} and Bronski, {J. C.} and Galimzyanov, {R. M.}",

note = "Funding Information: We acknowledge partial support by the US Civilian Research and Development Foundation (Award ZM2-2095) and by the Uzbekistan Fundamental Science Support Foundation (Award 15-02). ",

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AU - Abdullaev, F. Kh

AU - Bronski, J. C.

AU - Galimzyanov, R. M.

N1 - Funding Information: We acknowledge partial support by the US Civilian Research and Development Foundation (Award ZM2-2095) and by the Uzbekistan Fundamental Science Support Foundation (Award 15-02).

PY - 2003/10/1

Y1 - 2003/10/1

N2 - In this work we consider the oscillations and associated resonance of a 2D Bose-Einstein condensate under periodic and random modulations of the atomic scattering length. For random oscillations of the trap potential and of the atomic scattering length we are able to calculate the mean growth rate for the width of the condensate. The results obtained from the reduced ODEs for oscillations of the width of condensate are compared with the numerical simulations of the full 2D Gross-Pitaevskii equation with modulated in time coefficients.

AB - In this work we consider the oscillations and associated resonance of a 2D Bose-Einstein condensate under periodic and random modulations of the atomic scattering length. For random oscillations of the trap potential and of the atomic scattering length we are able to calculate the mean growth rate for the width of the condensate. The results obtained from the reduced ODEs for oscillations of the width of condensate are compared with the numerical simulations of the full 2D Gross-Pitaevskii equation with modulated in time coefficients.

KW - Bose-Einstein condensate

KW - Gross-Pitaevski equation

KW - Random perturbation

KW - Resonance

KW - Scattering length

KW - Trap potential

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Dynamics of a trapped 2D Bose-Einstein condensate with periodically and randomly varying atomic scattering length

Abstract

Keywords

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