2006/01/31 by Michiel Snoek, H. T. C. Stoof · 17 citations
Physics and Astronomy · #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Empty lattice approximation #Hexagonal lattice #Lattice (music) #Lattice field theory #Mechanics #Optical lattice #Particle in a one-dimensional lattice #Physics #Quantum mechanics #Quantum tunnelling #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #Superfluidity #Vortex #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.96.230402
published in Physical Review Letters 96(23), 230402 (American Physical Society) · 4 pages, 4 figures
arxiv created 2006/01/31 · openalex publication_date 2006/06/15 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate quantum fluctuations of a vortex lattice in a one-dimensional optical lattice for realistic numbers of particles and vortices. 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. By looking into correlations between neighboring vortices, we identify new solid and liquid phases. Tunneling between neighboring pancakes substantially reduces the inhomogeneity as well as the size of the fluctuations.