Vortex-Lattice Melting in a One-Dimensional Optical Lattice

Michiel Snoek, H. T. C. Stoof
2006 Physical Review Letters  
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
more » ... s from the outside inwards. Tunneling between neighbouring pancakes substantially reduces the inhomogeneity as well as the size of the fluctuations.
doi:10.1103/physrevlett.96.230402 pmid:16803355 fatcat:cdswcbu75zd2zfey5vievyr3u4