2008/10/29 by M. P. Mink, C. Morais Smith, R. A. Duine
Physics and Astronomy · #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Critical current #Diffraction #Lattice (music) #Optical lattice #Particle in a one-dimensional lattice #Phase (matter) #Phase diagram #Physics #Pinning force #Quantum #Quantum mechanics #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #Superconductivity #Superfluidity #Trapping #Ultracold atom #Vortex #cond-mat.mes-hall
paper · pdf · doi:10.1103/physreva.79.013605
arxiv created 2008/10/29 · openalex publication_date 2009/01/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the vortex-lattice structure for single- and two-component Bose-Einstein condensates in the presence of an optical lattice, which acts as a pinning potential for the vortices. The problem is considered in the mean-field quantum Hall regime, which is reached when the rotation frequency \ensuremathΩ of the condensate in a radially symmetric trap approaches the (radial) trapping frequency \ensuremathω and the interactions between the atoms are weak. We determine the vortex-lattice phase diagram as a function of optical-lattice strength and geometry. In the limit of strong pinning the vortices are always pinned at the maxima of the optical-lattice potential, similar to the slow-rotation case. At intermediate pinning strength, however, due to the competition between interactions and pinning energy, a structure arises for the two-component case where the vortices are pinned on lines of minimal potential.