Quantum theory of a vortex line in an optical lattice
arXiv:cond-mat/0402052 · doi:10.1103/PhysRevA.69.053617
Abstract
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 modes and the 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.
Minor changes in response to a referee report
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- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Atom-molecule coherence in Bose gases
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- Ultracold atoms in optical lattices
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Cited by in corpus (16)
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- Cold Bosons in Optical Lattices
- Ultracold bosons with short-range interaction in regular optical lattices
- Theory of decay of superfluid turbulence in the low-temperature limit
- Kelvin Waves of Quantized Vortex Lines in Trapped Bose-Einstein Condensates
- Vortex--Phonon Interaction
- Ultracold Superstrings in atomic boson-fermion mixtures
- Theory of Ultracold Superstrings
- Vortex arrays in a rotating superfluid Fermi gas
- Theory of vortex-lattice melting in a one-dimensional optical lattice
- Spontaneous squeezing of a vortex in an optical lattice
- Vortex-line solitons in a periodically modulated Bose gas
- Superfluidity of a dipolar Fermi gas in 2D optical lattices bilayer
- Bose-Fermi Mixtures in Optical Lattices
- Critical frequency for vortex nucleation in Bose-Fermi mixtures in optical lattices
- Vortex oscillations in confined Bose-Einstein condensate interacting with 1D optical lattice