Phase Transitions of S=1 Spinor Condensates in an Optical Lattice

Abstract

We study the phase diagram of spin-one polar condensates in a two dimensional optical lattice with magnetic anisotropy. We show that the topological binding of vorticity to nematic disclinations allows for a rich variety of phase transitions. These include Kosterlitz-Thouless-like transitions with a superfluid stiffness jump that can be experimentally tuned to take a continuous set of values, and a new cascaded Kosterlitz-Thouless transition, characterized by two divergent length scales. For higher integer spin bosons S, the thermal phase transition out of the planar polar phase is strongly affected by the parity of S.

9 pages, 7 figures; v4 - Expanded manuscript

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• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
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• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
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• Half-Quantum Vortices in an Antiferromagnetic Spinor Bose-Einstein Condensate
• Phase transitions in a three dimensional $U(1)\times U(1)$ lattice London superconductor: Metallic superfluid and charge-4e superconducting states
• Paired Superfluidity and Fractionalized Vortices in Spin-orbit Coupled Bosons
• Non-Fermi-liquid at (2+1)d ferromagnetic quantum critical point
• Superfluidity of Bosons in Kagome Lattices with Frustration
• Conventional and charge six superfluids from melting hexagonal Fulde-Ferrell-Larkin-Ovchinnikov phases in two dimensions
• Berezinskii-Kosterlitz-Thouless transition of two-component Bose mixtures with inter-component Josephson coupling
• Observation of wall-vortex composite defects in a spinor Bose-Einstein condensate
• Stabilizing fluctuating spin-triplet superconductivity in graphene via induced spin-orbit coupling
• The phase diagram of 2D polar condensates in a magnetic field
• Quantum liquid-crystal order in resonant atomic gases
• Phase transitions in superconductor liquid crystals
• Pairing, Ferromagnetism, and Condensation of a normal spin-1 Bose gas
• Quantum field theory of nematic transitions in spin orbit coupled spin-1 polar bosons
• BKT-paired phase in coupled XY models
• Berezinskii-Kosterlitz-Thouless transition of spin-1 spinor Bose gases in the presence of the quadratic Zeeman effect
• Finite-momentum superfluidity and phase transitions in a p-wave resonant Bose gas
• Finite-temperature phase transitions in quasi-two-dimensional spin-1 Bose gases
• Topologically enabled superconductivity
• Berezinskii-Kosterlitz-Thouless transition transport in spin-triplet superconductor
• Spinor Bose gases: Explorations of symmetries, magnetism and quantum dynamics
• Lattice sine-Gordon model
• Confinement induced interlayer molecules: a route to strong interatomic interactions
• Berezinskii-Kosterlitz-Thouless transitions in a ferromagnetic superfluid: effects of axial magnetization
• Fate of Berezinskii-Kosterlitz-Thouless Paired Phase in Coupled $XY$ Models