Spin correlation and Discrete symmetry in Spinor Bose-Einstein Condensates

Abstract

We study spin correlations in Bose-Einstein condensates of spin 1 bosons with scatterings dominated by a total spin equal 2 channel. We show the low energy spin dynamics in the system can be mapped into an $o(n)$ nonlinear sigma model(NL$\sigma$M). $n=3$ at the zero magnetic field limit and $n=2$ in the presence of weak magnetic fields. In an ordered phase, the ground state has a hidden $Z_2$ symmetry and is degenerate under the group $[U(1)\times S^{n-1}]/Z_2$. We explore consequences of the hidden symmetry and propose some measurements to probe it.

4 pages; published version in Phys. Rev. Lett. vol 87, 080401-1(2001)

Cited by in corpus (110)

• Spinor Bose-Einstein condensates
• Rapidly Rotating Atomic Gases
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• Dynamical Creation of Fractionalized Vortices and Vortex Lattices
• Spinor Bosonic Atoms in Optical Lattices: Symmetry Breaking and Fractionalization
• Competing orders in one dimensional spin 3/2 fermionic systems
• Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
• Knots in a Spinor Bose-Einstein Condensate
• Quantum Phase Transition in an Antiferromagnetic Spinor Bose-Einstein Condensate
• Half-Quantum Vortices in an Antiferromagnetic Spinor Bose-Einstein Condensate
• Kondo Metal and Ferrimagnetic Insulator on the Triangular Kagomé Lattice
• Creation of Dirac monopoles in spinor Bose-Einstein condensates
• Topological defects and the superfluid transition of the $s=1$ spinor condensate in two dimensions
• Discrete symmetries and 1/3-quantum vortices in condensates of F=2 cold atoms
• Coreless and singular vortex lattices in rotating spinor Bose-Einstein condensates
• Spin textures in slowly rotating Bose-Einstein Condensates
• Prediction of quantum stripe ordering in optical lattices
• Nematic Order by Disorder in Spin-2 BECs
• Paired Superfluidity and Fractionalized Vortices in Spin-orbit Coupled Bosons
• Quantum fluctuation-induced uniaxial and biaxial spin nematics
• Spin-orbit coupling induced fractionalized Skyrmion excitations in rotating and rapidly quenched spin-1 Bose-Einstein condensates
• Symmetry Classification of Spinor Bose-Einstein Condensates
• Microscopic Wave Functions of Spin Singlet and Nematic Mott States of Spin-One Bosons in High Dimensional Bipartite Lattices
• Quantum Spin Nematic States in Bose-Einstein Condensates
• Bogoliubov Theory and Lee-Huang-Yang Corrections in Spin-1 and Spin-2 Bose-Einstein Condensates in the Presence of the Quadratic Zeeman Effect
• Axisymmetric Vortices in Spinor Bose-Einstein Condensates under Rotation
• Phase separation in a spin-orbit coupled Bose-Einstein condensate
• Rotating spin-1 bosons in the lowest Landau level
• Classifying Vortices in S=3 Bose-Einstein Condensates
• Superfluidity of Bosons in Kagome Lattices with Frustration
• Magnetization plateaus for spin-one bosons in optical lattices: Stern-Gerlach experiments with strongly correlated atoms
• Production and characterization of a fragmented spinor Bose-Einstein condensate
• Collisional Dynamics of Half-Quantum Vortices in a Spinor Bose-Einstein Condensate
• Antiferromagnetic Spatial Ordering in a Quenched One-dimensional Spinor Gas
• Observation of wall-vortex composite defects in a spinor Bose-Einstein condensate
• Excited spin states and phase separation in spinor Bose-Einstein condensates
• Phase Transitions of S=1 Spinor Condensates in an Optical Lattice
• Low energy dynamics of spinor condensates
• Emergence and scaling of spin turbulence in quenched antiferromagnetic spinor Bose-Einstein condensates
• Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model
• Bose-Einstein Condensation with Entangled Order Parameter
• Hydrodynamic equation of a spinor dipolar Bose-Einstein condensate
• Abe homotopy classification of topological excitations under the topological influence of vortices
• Skyrmion Excitation in Two-Dimensional Spinor Bose-Einstein Condensate
• The phase diagram of 2D polar condensates in a magnetic field
• Quantum optomechanics of a Bose-Einstein Antiferromagnet
• Antiferromagnetic Spinor Condensates are Quantum Rotors
• Vortex lattice transitions in cyclic spinor condensates
• Explicit expressions for the topological defects of spinor Bose-Einstein condensates
• Quantum Elliptic Vortex in a Nematic-Spin Bose-Einstein Condensate
• Quantum liquid-crystal order in resonant atomic gases
• Spontaneous symmetry breaking in a spin-orbit coupled $f=2$ spinor condensate
• Ultracold atomic Bose and Fermi spinor gases in optical lattices
• Topological classification of vortex-core structures of spin-1 Bose-Einstein condensates
• Non-Abelian Global Vortices
• Experimental realization of a Dirac monopole through the decay of an isolated monopole
• Magnetically Stabilized Nematic Order I: Three-Dimensional Bipartite Optical Lattices
• Quintet pairing and non-Abelian vortex string in spin-3/2 cold atomic systems
• Quantum-Fluctuation-Driven Coherent Spin Dynamics in Small Condensates
• Three-dimensional skyrmions in spin-2 Bose-Einstein condensates
• Vortex splitting and phase separating instabilities of coreless vortices in F=1 spinor Bose-Einstein condensates
• Spin fragmentation of Bose-Einstein condensates with antiferromagnetic interactions
• Conical intersections in laboratory coordinates with ultracold molecules
• Ground states of trapped spin-1 condensates in magnetic field
• Interferometric probe of paired states
• On the spin-liquid phase of one dimensional spin-1 bosons
• Gauge-spin-space rotation invariant vortices in spin-orbit coupled Bose-Einstein condensates
• Quantum rotor theory of spinor condensates in tight traps
• Goldstone-mode Instability leading to Fragmentation in a Spinor Bose-Einstein Condensate
• Spin-one bosons in low dimensional Mott insulating states
• Quantum field theory of nematic transitions in spin orbit coupled spin-1 polar bosons
• The structure of the perturbation series of the spin-1 Bose gas at low temperatures
• Spontaneously axisymmetry breaking phase in a binary mixture of spinor Bose-Einstein condensates
• Spin 1 microcondensate in a magnetic field: semiclassics and exact solution
• Finite-momentum superfluidity and phase transitions in a p-wave resonant Bose gas
• Phase-space mixing in dynamically unstable, integrable few-mode quantum systems
• Optical Control of a Quantum Rotor
• Finite-temperature phase transitions in quasi-two-dimensional spin-1 Bose gases
• 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
• Magnetism of one-dimensional strongly repulsive spin-1 bosons with antiferromagnetic spin exchange interaction
• Mesoscopics of half-quantum vortex pair deconfinement in a trapped spin-one condensate
• Spin-vortex nucleation in a Bose-Einstein condensate by a spin-dependent rotating trap
• Magnetization of a half-quantum vortex in a spinor Bose-Einstein condensate
• Ground states of a mixture of two species of spin-1 Bose gases with interspecies spin exchange in a magnetic field
• Four-coloring model and frustrated superfluidity in the diamond lattice
• Magnetic phase diagram of a spin-1 condensate in two dimensions with dipole interaction
• Crossover from weak to strong quench in a spinor Bose-Einstein condensate
• Topological influence and back-action between topological excitations
• Spin-1 bosons in an external magnetic field and a three body interaction potential
• Quantum knots in Bose-Einstein condensates created by counterdiabatic control
• Anomalous superfluidity in 2+1 dimensional two-color lattice QCD
• Magnetically Stabilized Order. II: Critical states and algebraically ordered nematic spin liquids in one-dimensional optical lattices
• Susceptibility at the edge points of magnetization plateau of 1D electron/spin systems
• Berry's Phases of Ground States of Interacting Spin-One Bosons: Chains of Monopoles and Monosegments
• Spin-1 Bose Hubbard model with nearest neighbour extended interaction
• Stability of supercurrents in a superfluid phase of spin-1 bosons in an optical lattice
• Correlated spontaneous symmetry breaking induced by zero-point fluctuations in a quantum mixture
• Transition from Band insulator to Bose-Einstein Condensate superfluid and Mott State of Cold Fermi Gases with Multiband Effects in Optical Lattices
• Low temperature specific heat of 1D multicomponent systems at commensurate- incommensurate phase transition point
• Quantum phases of a spin-1 ultracold Bose gas with three body interactions
• Fluctuation-Driven Vortex Fractionalization in Topologically Ordered Superfluids of Cold Atoms
• Spinor Bose gas in an elongated trap
• Sum rules for spin-$1/2$ quantum gases in states with well-defined spins: II. Spin-dependent two-body interactions
• Spin Ordering and Quasiparticles in Spin Triplet Superconducting Liquids
• Spin-polarized localization in a magnetized chain
• Emergent quantum field theories on curved spacetimes in spinor Bose-Einstein condensates: from scalar to Proca fields
• Superconducting States and Intertwined Orders in Metallic Altermagnets
• Effects of an attractive three body interaction on a spin-1 Bose Hubbard model
• Dynamical Generation of Spin Current and Phase Slip in Exciton-Polariton Condensates