Vortex lattices in Bose-Einstein condensates: From the Thomas-Fermi regime to the lowest-Landau-level regime

Journal Article · Wed Feb 15 00:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.73.023615· OSTI ID:20974631

Cozzini, M; Stringari, S; Tozzo, C ^[1]

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1. Dipartimento di Fisica, Universita di Trento and CNR-INFM BEC Center, I-38050 Povo, Trento (Italy)

We consider a periodic vortex lattice in a rotating Bose-Einstein-condensed gas, where the centrifugal potential is exactly compensated by the external harmonic trap. By introducing a gauge transformation which makes the Hamiltonian periodic, we numerically solve the two-dimensional (2D) Gross-Pitaevskii equation finding the exact mean field ground state. In particular, we explore the crossover between the Thomas-Fermi regime, holding for large values of the coupling constant, and the lowest Landau level limit, corresponding to the weakly interacting case. Explicit results are given for the equation of state, the vortex core size, as well as the elastic shear modulus, which is crucial for the calculation of the Tkachenko frequencies.

• OSTI ID: 20974631
• Journal Information: Physical Review. A, Vol. 73, Issue 2; Other Information: DOI: 10.1103/PhysRevA.73.023615; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN GAS
COUPLING CONSTANTS
EQUATIONS OF STATE
GAUGE INVARIANCE
GROUND STATES
HAMILTONIANS
PERIODICITY
ROTATION
THOMAS-FERMI MODEL
TRAPS
TWO-DIMENSIONAL CALCULATIONS