Quantum Spin Nematic States in Bose-Einstein Condensates

Abstract

We review some recent results on discrete symmetries and topological order in spinor Bose-Einstein condensates (BECs) of ${}^{23}Na$. For spin one bosons with two-body scatterings dominated by a total spin equal to two channel, the BECs are in quantum spin nematic states at a low density limit. We study spin correlations in condensates at different limits and analyze hidde$symmetriesusinganon-perturbativeapproachdevelopedrecently.Wefurthermoreinvestigatetheinfluenceofhidden$Z_2$ symmetries and U(1) quantum orders in symmetry partially retored states, particularly the effects on topological excitations.

30 pages, 13 figs included. to appear in Int. Jour. Mod. Phys. A

References in corpus (3)

• Spinor Bosonic Atoms in Optical Lattices: Symmetry Breaking and Fractionalization
• Spin correlation and Discrete symmetry in Spinor Bose-Einstein Condensates
• 't Hooft-Polyakov Monopoles in an Antiferromagnetic Bose-Einstein Condensate

Cited by in corpus (49)

• Spinor Bose-Einstein condensates
• Unconventional Bose-Einstein condensations from spin-orbit coupling
• Phases of a phenomenological model of twisted bilayer graphene
• Fermi liquid instabilities in the spin channel
• Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
• Unconventional states of bosons with synthetic spin-orbit coupling
• Topological defects and the superfluid transition of the $s=1$ spinor condensate in two dimensions
• Unconventional Bose-Einstein Condensations Beyond the "No-node" Theorem
• Coreless and singular vortex lattices in rotating spinor Bose-Einstein condensates
• Spin textures in slowly rotating Bose-Einstein Condensates
• Resonating plaquette phases in large spin cold atom systems
• Microscopic Wave Functions of Spin Singlet and Nematic Mott States of Spin-One Bosons in High Dimensional Bipartite Lattices
• Dynamical and energetic instabilities in multi-component Bose-Einstein condensates in optical lattices
• Energetically stable singular vortex cores in an atomic spin-1 Bose-Einstein condensate
• Spin Singlet Mott States and Evidence For Spin Singlet Quantum Condensates of Spin-One Bosons in Lattices
• Magnetization plateaus for spin-one bosons in optical lattices: Stern-Gerlach experiments with strongly correlated atoms
• Mixed triplet and singlet pairing in multicomponent ultracold fermion systems with dipolar interactions
• Topological interface engineering and defect crossing in ultracold atomic gases
• Energetic stability of coreless vortices in spin-1 Bose-Einstein condensates with conserved magnetization
• Emergence and scaling of spin turbulence in quenched antiferromagnetic spinor Bose-Einstein condensates
• Stability and internal structure of vortices in spin-1 Bose-Einstein condensates with conserved magnetization
• Core Structure and Non-Abelian Reconnection of Defects in a Biaxial Nematic Spin-2 Bose-Einstein Condensate
• Explicit expressions for the topological defects of spinor Bose-Einstein condensates
• Quantum Elliptic Vortex in a Nematic-Spin Bose-Einstein Condensate
• The J-triplet Cooper pairing with magnetic dipolar interactions
• Magnetically Stabilized Nematic Order I: Three-Dimensional Bipartite Optical Lattices
• Quintet pairing and non-Abelian vortex string in spin-3/2 cold atomic systems
• Spin nematic phase in (quasi-)one-dimensional frustrated magnet in strong magnetic field
• Topological interface physics of defects and textures in spinor Bose-Einstein condensates
• Semiclassical Approach to Competing Orders in Two-leg Spin Ladder with Ring-Exchange
• Shortcut to adiabaticity in spinor condensates
• Spin-one bosons in low dimensional Mott insulating states
• Skyrmion quantum spin Hall effect
• Decay of an isolated monopole into a Dirac monopole configuration
• Finite-temperature phase transitions in quasi-two-dimensional spin-1 Bose gases
• Fractional-charge vortex in a spinor Bose-Einstein condensate
• Controlled Creation and Decay of Singly-Quantized Vortices in a Polar Magnetic Phase
• Imprinting a topological interface using Zeeman shifts in an atomic spinor Bose-Einstein condensate
• Unconventional symmetries of Fermi liquid and Cooper pairing properties with electric and magnetic dipolar fermions
• Spin-driven stationary turbulence in spinor Bose-Einstein condensates
• Ground states of a mixture of two species of spin-1 Bose gases with interspecies spin exchange in a magnetic field
• Crossover from weak to strong quench in a spinor Bose-Einstein condensate
• Evolution of an isolated monopole in a spin-1 Bose-Einstein condensate
• Magnetically Stabilized Order. II: Critical states and algebraically ordered nematic spin liquids in one-dimensional optical lattices
• Chaos-assisted Turbulence in Spinor Bose-Einstein Condensates
• Berry's Phases of Ground States of Interacting Spin-One Bosons: Chains of Monopoles and Monosegments
• Topological interfaces crossed by defects and textures of continuous and discrete point group symmetries in spin-2 Bose-Einstein condensates
• Correlated spontaneous symmetry breaking induced by zero-point fluctuations in a quantum mixture
• Coleman-Weinberg mechanism in spinor Bose-Einstein condensates