Symmetry Classification of Spinor Bose-Einstein Condensates

Abstract

We propose a method for systematically finding ground states of spinor Bose-Einstein condensates by utilizing symmetry properties of the system. By this method, we can find not only an inert state, whose symmetry is maximal in the manifold under consideration, but also a non-inert state, which has lower symmetry and depends on the parameters in the Hamiltonian. We establish the symmetry-classification method for the spin-1, 2 and 3 cases at zero magnetic field, and find a new phase in the last case. Properties of vortices in the spin-3 system are also discussed.

19 pages, 7 figures

References in corpus (10)

• Bose-Einstein condensation of chromium
• All-Optical Production of Chromium Bose-Einstein Condensates
• Classifying Novel Phases of Spinor Atoms
• Discrete symmetries and 1/3-quantum vortices in condensates of F=2 cold atoms
• Spinor condensates with a laser-induced quadratic Zeeman effect
• Quasi-Nambu-Goldstone Modes in Bose-Einstein Condensates
• Classifying Vortices in S=3 Bose-Einstein Condensates
• Inert states of spin-S systems
• Symmetry and inert states of spin Bose Condensates
• Ground states of spin-3 Bose-Einstein condensates for conserved magnetization

Cited by in corpus (47)

• Degenerate Quantum Gases with Spin-Orbit Coupling
• Synthetic Gauge Field with Highly Magnetic Lanthanide Atoms
• Pairing states of spin-3/2 fermions: Symmetry-enforced topological gap functions
• Symmetry classification of spin-orbit coupled spinor Bose-Einstein condensates
• Quenched binary Bose-Einstein condensates: spin domain formation and coarsening
• Galactic cold dark matter as a Bose-Einstein condensate of WISPs
• Counting rule of Nambu-Goldstone modes for internal and spacetime symmetries: Bogoliubov theory approach
• Searching for Non-Abelian Phases in the Bose-Einstein Condensate of Dysprosium
• Exact solitons and manifold mixing dynamics in the spin-orbit-coupled spinor condensates
• d-wave superconductivity and Bogoliubov-Fermi surfaces in Rarita-Schwinger-Weyl semimetals
• Dynamical quantum phase transitions in a spinor Bose-Einstein condensate and criticality enhanced quantum sensing
• Constraining condensate dark matter in galaxy clusters
• Topological classification of vortex-core structures of spin-1 Bose-Einstein condensates
• Braiding and fusion of non-Abelian vortex anyons
• Three-dimensional skyrmions in spin-2 Bose-Einstein condensates
• Internal structure and stability of vortices in a dipolar spinor Bose-Einstein condensate
• Gauge-spin-space rotation invariant vortices in spin-orbit coupled Bose-Einstein condensates
• The nonlinear Dirac equation: Preparation and stability of relativistic vortices in Bose-Einstein condensates
• The nonlinear Dirac equation in Bose-Einstein condensates: Vortex solutions and spectra in a weak harmonic trap
• Feedback Induced Magnetic Phases in Binary Bose-Einstein Condensates
• Three-body Physics in Strongly Correlated Spinor Condensates
• The nonlinear Dirac equation in Bose-Einstein condensates: Superfluid fluctuations and emergent theories from relativistic linear stability equations
• Ground state of the three-dimensional BCS d-wave superconductor
• Three fluid hydrodynamics of spin-1 Bose-Einstein condensates
• Raman fingerprints on the Bloch sphere of a spinor Bose-Einstein condensate
• The Local Spin Structure of Large Spin Fermions
• Hidden role of antiunitary operators in Fierz transformation
• Singlet Mott State Simulating the Bosonic Laughlin Wave Function
• First-order phase transitions in spinor Bose gases and frustrated magnets
• Time reversal symmetry breaking and $d$-wave superconductivity of triple-point fermions
• p-wave superconductivity in Luttinger semimetals
• Metastable spin-phase diagrams in antiferromagnetic Bose-Einstein condensates
• p-wave superconductivity and the axi-planar phase of triple-point fermions
• Topological interfaces crossed by defects and textures of continuous and discrete point group symmetries in spin-2 Bose-Einstein condensates
• Phase characterization of spinor Bose-Einstein condensates: a Majorana stellar representation approach
• The band structure of the whole spectrum of an N-body cold system containing atoms with arbitrary integer spin and dominated by singlet pairing force
• Symmetry classification of uniform states in spin-2 Bose-Einstein condensates and neutron ${}^3{P}_2$ superfluids
• Spontaneous PT symmetry breaking of a ferromagnetic superfluid in a gradient field
• On the anomalous density of a dilute homogeneous Bose gas
• Thermal effects on the spin domain phases of high spin-f Bose-Einstein condensates with rotational symmetries
• An inequality for spinor Bose-Einstein condensates
• Spin Liquid Condensate of Spinful Bosons
• Phase diagrams of spin-2 Floquet spinor Bose-Einstein condensates
• Fractional windings of the spinor condensates on a ring
• Phases of three-dimensional $d$-wave superconductors with two attractive interactions
• Spontaneous Spin Textures in Dipolar Spinor Condensates: A Dirac String Gas Approach
• Emergent quantum field theories on curved spacetimes in spinor Bose-Einstein condensates: from scalar to Proca fields