English

Quantum theory of a vortex line in an optical lattice

Statistical Mechanics 2014-10-13 v2

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.

Keywords

Cite

@article{arxiv.cond-mat/0402052,
  title  = {Quantum theory of a vortex line in an optical lattice},
  author = {J. -P. Martikainen and H. T. C. Stoof},
  journal= {arXiv preprint arXiv:cond-mat/0402052},
  year   = {2014}
}

Comments

Minor changes in response to a referee report