Efficiently Computing Vortex Lattices in Rapid Rotating Bose-Einstein Condensates

Rong Zeng; Yanzhi Zhang

doi:10.1016/j.cpc.2008.12.003

Efficiently Computing Vortex Lattices in Rapid Rotating Bose-Einstein Condensates

Rong Zeng
, Yanzhi Zhang

Mathematics and Statistics

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

Abstract

We propose an efficient and spectrally accurate numerical method for computing vortex lattices in rapid rotating Bose-Einstein condensates (BECs), especially with strong repulsive interatomic interaction. The key ingredient of this method is to discretize the normalized gradient flow by Fourier spectral method in space and by semi-implicit Euler method in time. Different vortex lattice structures of condensate ground states in two-dimensional (2D) and 3D rapid rotating BECs are reported for both harmonic and harmonic-plus-quartic potentials. In addition, vortex lattices in rotating BECs with optical lattice potentials are also presented.

Original language	American English
Journal	Computer Physics Communications Package
DOIs	https://doi.org/10.1016/j.cpc.2008.12.003
State	Published - Jan 1 2009

Keywords

Rotating Bose-Einstein condensate
angular momentum rotation
gross-Pitaevskii equation
strong repulsive interaction regime
vortex lattices

Disciplines

Mathematics
Statistics and Probability

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https://doi.org/10.1016/j.cpc.2008.12.003

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title = "Efficiently Computing Vortex Lattices in Rapid Rotating Bose-Einstein Condensates",

abstract = " We propose an efficient and spectrally accurate numerical method for computing vortex lattices in rapid rotating Bose-Einstein condensates (BECs), especially with strong repulsive interatomic interaction. The key ingredient of this method is to discretize the normalized gradient flow by Fourier spectral method in space and by semi-implicit Euler method in time. Different vortex lattice structures of condensate ground states in two-dimensional (2D) and 3D rapid rotating BECs are reported for both harmonic and harmonic-plus-quartic potentials. In addition, vortex lattices in rotating BECs with optical lattice potentials are also presented.",

keywords = "Rotating Bose-Einstein condensate, angular momentum rotation, gross-Pitaevskii equation, strong repulsive interaction regime, vortex lattices",

author = "Rong Zeng and Yanzhi Zhang",

year = "2009",

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day = "1",

doi = "10.1016/j.cpc.2008.12.003",

language = "American English",

journal = "Computer Physics Communications Package",

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T1 - Efficiently Computing Vortex Lattices in Rapid Rotating Bose-Einstein Condensates

AU - Zeng, Rong

AU - Zhang, Yanzhi

PY - 2009/1/1

Y1 - 2009/1/1

N2 - We propose an efficient and spectrally accurate numerical method for computing vortex lattices in rapid rotating Bose-Einstein condensates (BECs), especially with strong repulsive interatomic interaction. The key ingredient of this method is to discretize the normalized gradient flow by Fourier spectral method in space and by semi-implicit Euler method in time. Different vortex lattice structures of condensate ground states in two-dimensional (2D) and 3D rapid rotating BECs are reported for both harmonic and harmonic-plus-quartic potentials. In addition, vortex lattices in rotating BECs with optical lattice potentials are also presented.

AB - We propose an efficient and spectrally accurate numerical method for computing vortex lattices in rapid rotating Bose-Einstein condensates (BECs), especially with strong repulsive interatomic interaction. The key ingredient of this method is to discretize the normalized gradient flow by Fourier spectral method in space and by semi-implicit Euler method in time. Different vortex lattice structures of condensate ground states in two-dimensional (2D) and 3D rapid rotating BECs are reported for both harmonic and harmonic-plus-quartic potentials. In addition, vortex lattices in rotating BECs with optical lattice potentials are also presented.

KW - Rotating Bose-Einstein condensate

KW - angular momentum rotation

KW - gross-Pitaevskii equation

KW - strong repulsive interaction regime

KW - vortex lattices

UR - https://scholarsmine.mst.edu/math_stat_facwork/283

UR - https://doi.org/10.1016/j.cpc.2008.12.003

U2 - 10.1016/j.cpc.2008.12.003

DO - 10.1016/j.cpc.2008.12.003

M3 - Article

JO - Computer Physics Communications Package

JF - Computer Physics Communications Package

ER -

Efficiently Computing Vortex Lattices in Rapid Rotating Bose-Einstein Condensates

Abstract

Keywords

Disciplines

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