Classifying Vortices in S=3 Bose-Einstein Condensates

Abstract

Motivated by the recent realization of a ${}^{52}$Cr Bose-Einstein condensate, we consider the phase diagram of a general spin-three condensate as a function of its scattering lengths. We classify each phase according to its ``reciprocal spinor,'' using a method developed in a previous work. We show that such a classification can be naturally extended to describe the vortices for a spinor condensate by using the topological theory of defects. To illustrate, we systematically describe the types of vortex excitations for each phase of the spin-three condensate.

References in corpus (16)

• Spinor Bose Condensates in Optical Traps
• Bose-Einstein condensation of chromium
• Spin domains in ground state spinor Bose-Einstein condensates
• Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Observation of dipole-dipole interaction in a degenerate quantum gas
• Observation of spinor dynamics in optically trapped 87Rb Bose-Einstein Condensates
• Dynamics of F=2 Spinor Bose-Einstein Condensates
• Spin-3 Chromium Bose-Einstein Condensates
• Spin correlation and Discrete symmetry in Spinor Bose-Einstein Condensates
• Classifying Novel Phases of Spinor Atoms
• ${}^{52}$Cr Spinor Condensate$--$ A Biaxial or Uniaxial Spin Nematic
• Topological defects and the superfluid transition of the $s=1$ spinor condensate in two dimensions
• Symmetry and inert states of spin Bose Condensates
• Ground states of spin-3 Bose-Einstein condensates for conserved magnetization
• Explicit expressions for the topological defects of spinor Bose-Einstein condensates

Cited by in corpus (43)

• Spinor Bose-Einstein condensates
• Knots in a Spinor Bose-Einstein Condensate
• The maximally entangled symmetric state in terms of the geometric measure
• Entanglement and symmetry in permutation symmetric states
• Symmetry Classification of Spinor Bose-Einstein Condensates
• A geometrical approach to the dynamics of spinor condensates II: Collective modes
• A geometrical approach to the dynamics of spinor condensates I: Hydrodynamics
• Stable fractional flux vortices and unconventional magnetic state in two-component superconductors
• Energetically stable singular vortex cores in an atomic spin-1 Bose-Einstein condensate
• Inert states of spin-S systems
• N-qubit states as points on the Bloch sphere
• Energetic stability of coreless vortices in spin-1 Bose-Einstein condensates with conserved magnetization
• Classification of Entanglement in Symmetric States
• Stability and internal structure of vortices in spin-1 Bose-Einstein condensates with conserved magnetization
• Vortex lattice transitions in cyclic spinor condensates
• Core Structure and Non-Abelian Reconnection of Defects in a Biaxial Nematic Spin-2 Bose-Einstein Condensate
• Majorana representation for mixed states
• Topological Excitations in Spinor Bose-Einstein Condensates
• Braiding and fusion of non-Abelian vortex anyons
• Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach
• Characterization of symmetry-protected topological phases in polymerized models by trajectories of Majorana stars
• Topological interface physics of defects and textures in spinor Bose-Einstein condensates
• Dynamical symmetry in spinor Bose-Einstein condensates
• Internal structure and stability of vortices in a dipolar spinor Bose-Einstein condensate
• Dynamics of a vortex dipole across a magnetic phase boundary in a spinor Bose-Einstein condensate
• Magnetic properties of a spin-3 Chromium condensate
• Polynomial method to study the entanglement of pure N-qubit states
• Imprinting a topological interface using Zeeman shifts in an atomic spinor Bose-Einstein condensate
• Controlled Creation and Decay of Singly-Quantized Vortices in a Polar Magnetic Phase
• A damped point-vortex model for polar-core spin vortices in a ferromagnetic spin-1 Bose-Einstein condensate
• Three-Tangle of a General Three-Qubit State in the Representation of Majorana Stars
• Geometric Entanglement of Symmetric States and the Majorana Representation
• Topological Superfluid Defects with Discrete Point Group Symmetries
• Vortex Molecules in Spinor Condensates
• When geometric phases turn topological
• Orthonormal bases of extreme quantumness
• Inert-states of spin-5 and spin-6 Bose-Einstein condensates
• Spin liquid phases of Mott insulating ultracold bosons
• Berry phases of higher spins due to internal geometry of Majorana constellation and relation to quantum entanglement
• Topological interfaces crossed by defects and textures of continuous and discrete point group symmetries in spin-2 Bose-Einstein condensates
• Majorana stellar representation for mixed-spin $(s,\frac{1}{2})$ systems
• An inequality for spinor Bose-Einstein condensates
• Fractional windings of the spinor condensates on a ring