Validity of the lowest-Landau-level approximation for rotating Bose gases

Journal Article · Fri Sep 15 04:00:00 EDT 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.74.033605· OSTI ID:20857733

Morris, Alexis G; Feder, David L ^[1]

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1. Department of Physics and Astronomy and Institute for Quantum Information Science, University of Calgary, Calgary, Alberta, T2N 1N4 (Canada)

The energy spectrum for an ultracold rotating Bose gas in a harmonic trap is calculated exactly for small systems, allowing the atoms to occupy several Landau levels. Two vortexlike states and two strongly correlated states (the Pfaffian and Laughlin) are considered in detail. In particular, their critical rotation frequencies and energy gaps are determined as a function of particle number, interaction strength, and the number of Landau levels occupied (up to three). For the vortexlike states, the lowest-Landau-level (LLL) approximation is justified only if the interaction strength decreases with the number of particles; nevertheless, the constant of proportionality increases rapidly with the angular momentum per particle. For the strongly correlated states, however, the interaction strength can increase with particle number without violating the LLL condition. The results suggest that, in large systems, the Pfaffian and Laughlin states might be stabilized at rotation frequencies below the centrifugal limit for sufficiently large interaction strengths, with energy gaps a significant fraction of the trap energy.

• OSTI ID: 20857733
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 74; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANGULAR MOMENTUM
APPROXIMATIONS
ATOMS
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN GAS
ENERGY GAP
ENERGY LEVELS
ENERGY SPECTRA
HALL EFFECT
ROTATION
TRAPS
VORTICES