Skip to main content
Article thumbnail
Location of Repository

Theory of vortex-lattice melting in a one-dimensional optical lattice

By M. Snoek and H.T.C. Stoof

Abstract

We investigate quantum and temperature fluctuations of a vortex lattice in a one-dimensional optical lattice.\ud We discuss in particular the Bloch bands of the Tkachenko modes and calculate the correlation function of the\ud vortex positions along the direction of the optical lattice. Because of the small number of particles in the\ud pancake Bose-Einstein condensates at every site of the optical lattice, finite-size effects become very important.\ud Moreover, the fluctuations in the vortex positions are inhomogeneous due to the inhomogeneous density. As a\ud result, the melting of the lattice occurs from the outside inwards. However, tunneling between neighboring\ud pancakes substantially reduces the inhomogeneity as well as the size of the fluctuations. On the other hand,\ud nonzero temperatures increase the size of the fluctuations dramatically. We calculate the crossover temperature\ud from quantum melting to classical melting. We also investigate melting in the presence of a quartic radial\ud potential, where a liquid can form in the center instead of at the outer edge of the pancake Bose-Einstein\ud condensates

Topics: Natuur- en Sterrenkunde
Year: 2006
OAI identifier: oai:dspace.library.uu.nl:1874/24138
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://dspace.library.uu.nl:80... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.