Vortex-lattice melting in a one-dimensional optical lattice

Abstract

We investigate quantum fluctuations of a vortex lattice in a one-dimensional optical lattice. Our method gives full access to all the modes of the vortex lattice and we discuss in particular the Bloch bands of the Tkachenko modes. Because of the small number of particles in the pancake Bose-Einstein condensates at every site of the optical lattice, finite-size effects become very important. Therefore, the fluctuations in the vortex positions are inhomogeneous and the melting of the lattice occurs from the outside inwards. Tunneling between neighbouring pancakes substantially reduces the inhomogeneity as well as the size of the fluctuations.

4 pages, 4 figures

References in corpus (1)

• Vortex liquids and vortex quantum Hall states in trapped rotating Bose gases

Cited by in corpus (10)

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• Rapidly Rotating Atomic Gases
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• Dynamical vortex phases in a Bose-Einstein condensate driven by a rotating optical lattice
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• Disorder Induced Vortex Lattice Melting in Bose-Einstein Condensate
• Theory of vortex-lattice melting in a one-dimensional optical lattice
• Effects of boundaries and density inhomogeneity on states of vortex matter in Bose--Einstein condensates at finite temperature
• Thermal fluctuations of vortex clusters in quasi-two-dimensional Bose-Einstein condensate
• Melting Transition of Vortex Lattice in Point Vortex Systems