Continuum theory of Tkachenko modes in rotating Bose-Einstein condensate

Journal Article · Sat Jan 01 00:00:00 EST 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.011603· OSTI ID:20650168

Sonin, E B ^[1]

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1. Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904 (Israel)

The present paper suggests the continuum theory of Tkachenko modes in a rotating two-dimensional Bose-Einstein condensate taking into account density inhomogeneity and compressibility of the condensate. The theory is based on the solution of coupled hydrodynamic equations for vortex and liquid motion with proper boundary conditions, which were derived for the condensate described by the Thomas-Fermi approximation. Compressibility becomes essential at rapid rotation with angular velocity close to the trap frequency. The theory is in reasonable agreement with experimental observation of Tkachenko modes.

• OSTI ID: 20650168
• Journal Information: Physical Review. A, Vol. 71, Issue 1; Other Information: DOI: 10.1103/PhysRevA.71.011603; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR VELOCITY
BOSE-EINSTEIN CONDENSATION
BOUNDARY CONDITIONS
COMPRESSIBILITY
DENSITY
HYDRODYNAMICS
LIQUIDS
MATHEMATICAL SOLUTIONS
ROTATION
SOUND WAVES
THOMAS-FERMI MODEL
TRAPS
TWO-DIMENSIONAL CALCULATIONS
VORTICES