Critical Rotation Rate for Vortex Nucleation in Ultracold Rotating Boson Atoms Trapped in 2D Deep Optical Lattice at Finite Temperature

In this paper, the critical rotation rate for vortex nucleation in ultracold rotating boson atoms in 2D deep optical lattices is calculated. We suggest a semiclassical approach to calculate the critical rotation frequency at finite temperature through extension of Stringari threshold formula. The cr...

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Bibliographic Details
Published in:Journal of low temperature physics 2020-08, Vol.200 (3-4), p.102-117
Main Authors: Hassan, Ahmed S., Elbadry, Azza M., Mahmoud, Alyaa A., Mohammedein, A. M., Abdallah, A. M.
Format: Article
Language:English
Subjects:
Atomic properties
Characterization and Evaluation of Materials
Condensed Matter Physics
Low temperature physics
Magnetic Materials
Magnetism
Mathematical analysis
Nucleation
Optical lattices
Physics
Physics and Astronomy
Rotation
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Summary:In this paper, the critical rotation rate for vortex nucleation in ultracold rotating boson atoms in 2D deep optical lattices is calculated. We suggest a semiclassical approach to calculate the critical rotation frequency at finite temperature through extension of Stringari threshold formula. The critical rotation frequency is parametrized in terms of the thermodynamic potential. Depending on the semiclassical approximation, the calculated thermodynamic potential enabled us to investigate the finite size and interatomic interaction effects. The calculated results show that the critical rotation rate, as a function of stirring frequency, shows a peak, while the critical rotation rate as a function of the normalized temperature decreases monotonically with the increase in the temperature. The critical rotation rate depends on the interatomic interaction, atoms number and optical potential depth. The obtained results provide useful theoretical foundation for rotating condensate boson in optical lattice.
ISSN:0022-2291
1573-7357
DOI:10.1007/s10909-020-02467-6