Quantum theory of a vortex line in an optical lattice

We investigate the quantum theory of a vortex line in a stack of weakly coupled two-dimensional Bose-Einstein condensates, that is created by a one-dimensional optical lattice. We derive the dispersion relation of the Kelvin modes of the vortex line and also study the coupling between the Kelvin and...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2004-05, Vol.69 (5), Article 053617
Main Authors: Martikainen, J.-P., Stoof, H. T. C.
Format: Article
Language:English
Subjects:
ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN CONDENSATION
COUPLING
DISPERSION RELATIONS
MATHEMATICAL SOLUTIONS
ONE-DIMENSIONAL CALCULATIONS
OPTICS
QUADRUPOLES
QUANTUM MECHANICS
TWO-DIMENSIONAL CALCULATIONS
VORTICES
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Summary:We investigate the quantum theory of a vortex line in a stack of weakly coupled two-dimensional Bose-Einstein condensates, that is created by a one-dimensional optical lattice. We derive the dispersion relation of the Kelvin modes of the vortex line and also study the coupling between the Kelvin and quadrupole modes. We solve the coupled dynamics of the vortex line and the quadrupole modes, both classically as well as quantum mechanically. The quantum mechanical solution reveals the possibility of generating nonequilibrium squeezed vortex states by strongly driving the quadrupole modes.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.69.053617