Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime

É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 79 (2009).


Journal Article | Published
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Abstract
We consider an ultracold rotating Bose gas in a harmonic trap close to the critical angular velocity, so that the system can be considered to be confined to the lowest Landau level. With this assumption we prove that the Gross-Pitaevskii energy functional accurately describes the ground-state energy of the corresponding N -body Hamiltonian with contact interaction provided the total angular momentum L is much less than N2. While the Gross-Pitaevskii energy is always an obvious variational upper bound to the ground-state energy, a more refined analysis is needed to establish it as an exact lower bound. We also discuss the question of Bose-Einstein condensation in the parameter range considered. Coherent states together with inequalities in spaces of analytic functions are the main technical tools.
Publishing Year
Date Published
2009-06-24
Journal Title
Physical Review A - Atomic, Molecular, and Optical Physics
Volume
79
Issue
6
IST-REx-ID

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Lieb É, Seiringer R, Yngvason J. Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime. Physical Review A - Atomic, Molecular, and Optical Physics. 2009;79(6). doi:10.1103/PhysRevA.79.063626
Lieb, É., Seiringer, R., & Yngvason, J. (2009). Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime. Physical Review A - Atomic, Molecular, and Optical Physics, 79(6). https://doi.org/10.1103/PhysRevA.79.063626
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime.” Physical Review A - Atomic, Molecular, and Optical Physics 79, no. 6 (2009). https://doi.org/10.1103/PhysRevA.79.063626.
É. Lieb, R. Seiringer, and J. Yngvason, “Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 79, no. 6, 2009.
Lieb É, Seiringer R, Yngvason J. 2009. Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime. Physical Review A - Atomic, Molecular, and Optical Physics. 79(6).
Lieb, Élliott, et al. “Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 79, no. 6, American Physical Society, 2009, doi:10.1103/PhysRevA.79.063626.

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