Spontaneous squeezing of a vortex in an optical lattice

Abstract

We study the equilibrium states of a vortex in a Bose-Einstein condensate in a one-dimensional optical lattice. We find that quantum effects can be important and that it is even possible for the vortex to be strongly squeezed, which reflects itself in a different quantum mechanical uncertainty of the vortex position in two orthogonal directions. The latter is observable by measuring the atomic density after an expansion of the Bose-Einstein condensate in the lattice.

8 pages, 3 figures, more details added, some new citations

References in corpus (3)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Quantum fluctuations of a vortex in an optical lattice
• Quantum theory of a vortex line in an optical lattice

Cited by in corpus (6)

• Pinning of vortices in a Bose-Einstein condensate by an optical lattice
• Ultracold Superstrings in atomic boson-fermion mixtures
• Theory of Ultracold Superstrings
• Theory of vortex-lattice melting in a one-dimensional optical lattice
• Vortex-line solitons in a periodically modulated Bose gas
• Spatially partitioned many-body vortices