Spinor Bosonic Atoms in Optical Lattices: Symmetry Breaking and Fractionalization

Abstract

We study superfluid and Mott insulator phases of cold spin-1 Bose atoms with antiferromagnetic interactions in an optical lattice, including a usual polar condensate phase, a condensate of singlet pairs, a crystal spin nematic phase, and a spin singlet crystal phase. We suggest a possibility of exotic fractionalized phases of spinor BEC and discuss them in the language of topological defect condensation and $Z_2$ lattice gauge theory.

4 pages, 1 figure included; references added

References in corpus (2)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Spin correlation and Discrete symmetry in Spinor Bose-Einstein Condensates

Cited by in corpus (158)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Spinor Bose-Einstein condensates
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• Probing many-body states of ultra-cold atoms via noise correlations
• Counterflow Superfluidity of Two-Species Ultracold Atoms in a Commensurate Optical Lattice
• Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
• Phase diagram of two-component bosons on an optical lattice
• Excitonic Magnetism in Van Vleck-type d^4 Mott Insulators
• Spin-exchange interactions of spin-one bosons in optical lattices: singlet, nematic and dimerized Phases
• Precision measurement of spin-dependent interaction strengths for spin-1 and spin-2 87Rb atoms
• Magnon pairing in quantum spin nematic
• Commensurate Two-Component Bosons in Optical Lattice: Groundstate Phase Diagram
• Competing orders in one dimensional spin 3/2 fermionic systems
• Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
• Competing orders in a magnetic field: spin and charge order in the cuprate superconductors
• Coherent collisional spin dynamics in optical lattices
• Atomic matter of non-zero momentum Bose-Einstein condensation and orbital current order
• Dimer state of spin-1 Bosons in an optical lattice
• Phase diagram of spin-1 bosons on one-dimensional lattices
• Superfluid-Superfluid Phase Transitions in Two-Component Bose System
• 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
• Ultracold bosons with short-range interaction in regular optical lattices
• Generalized spin squeezing inequalities in $N$ qubit systems: theory and experiment
• Decay of a superfluid currents in a moving system of strongly interacting bosons
• Resonating plaquette phases in large spin cold atom systems
• Superfluid-Mott Insulator Transition of Spin-1 Bosons in an Optical Lattice
• Prediction of quantum stripe ordering in optical lattices
• First-order superfluid-Mott insulator transition of spinor bosons in an optical lattice
• Quantum fluctuation-induced uniaxial and biaxial spin nematics
• Unconventional strongly interacting Bose-Einstein condensates in optical lattices
• 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
• Quantum phase transition using quantum walks in an optical lattice
• Dynamics of F=1 87Rb condensates at finite temperatures
• Spin-1 bosons with coupled ground states in optical lattices
• Spin Singlet Mott States and Evidence For Spin Singlet Quantum Condensates of Spin-One Bosons in Lattices
• Quantum State Transfer in Spin-1 Chains
• Fully Frustrated Cold Atoms
• Production and characterization of a fragmented spinor Bose-Einstein condensate
• Magnetic and Superfluid Transitions in the d=1 Spin-1 Boson Hubbard Model
• Magnetization plateaus for spin-one bosons in optical lattices: Stern-Gerlach experiments with strongly correlated atoms
• Quantum insulating states of F=2 cold atoms in optical lattices
• Field-induced phase transitions of repulsive spin-1 bosons in optical lattices
• Quantum phase transition of condensed bosons in optical lattices
• Ferromagnetism of cold fermions loaded into a decorated square lattice
• Imaging of spinor gases
• Dynamics of spin-1 bosons in an optical lattice: spin mixing, quantum phase revival spectroscopy and effective three-body interactions
• Phase separations of bosonic mixtures in optical lattices from macroscopic to microscopic scales
• Quantum coherence and spin nematic to nematic quantum phase transitions in biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy
• Dynamics and relaxation in spin nematics
• Magnonic Analogs of Topological Dirac Semimetals
• Dynamical models and the phase ordering kinetics of the s=1 spinor condensate
• Strongly coupled quantum criticality with a Fermi surface in two dimensions: fractionalization of spin and charge collective modes
• Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model
• First-order phase transition and anomalous hysteresis of Bose gases in optical lattices
• Quantum Rabi model in the Brillouin zone with ultracold atoms
• Antiferromagnetic Spinor Condensates are Quantum Rotors
• Semi-classical simulation of spin-1 magnets
• Quenching from superfluid to free bosons in two dimensions: entanglement, symmetries, and quantum Mpemba effect
• Controlling two-species Mott-insulator phses in an optical lattice to form an array of dipolar molecules
• The J-triplet Cooper pairing with magnetic dipolar interactions
• Paired state in an integrable spin-1 boson model
• Spin-state Crossover Model for the Magnetism of Iron Pnictides
• Disordered spinor Bose-Hubbard model
• Quantum liquid-crystal order in resonant atomic gases
• Competing Orders and Hidden Duality Symmetries in Two-leg Spin Ladder Systems
• Ultracold atomic Bose and Fermi spinor gases in optical lattices
• Interacting spin-1 bosons in a two-dimensional optical lattice
• Spinful bosons in an optical lattice
• Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach
• First-order superfluid to Mott-insulator phase transitions in spinor condensates
• Imaging of critical correlations in optical lattices and atomic traps
• Quantum Phase Transition of Spin-2 Cold Bosons in an Optical Lattice
• Magnetically Stabilized Nematic Order I: Three-Dimensional Bipartite Optical Lattices
• Insulator-Superfluid transition of spin-1 bosons in an optical lattice in magnetic field
• Quintet pairing and non-Abelian vortex string in spin-3/2 cold atomic systems
• Interference of atomic levels and superfluid -- Mott insulator phase transition in a two-component Bose-Einstein condensate
• Static and Dynamic Properties of Interacting Spin-1 Bosons in an Optical Lattice
• Pairing, Ferromagnetism, and Condensation of a normal spin-1 Bose gas
• Drag effect and topological complexes in strongly interacting two-component lattice superfluids
• Characteristic temperature for the immiscible-miscible transition of binary condensates in optical lattices
• On the spin-liquid phase of one dimensional spin-1 bosons
• Detecting Super-Counter-Fluidity by Ramsey Spectroscopy
• Fractional-flux vortices and spin superfluidity in triplet superconductors
• Semiclassical Approach to Competing Orders in Two-leg Spin Ladder with Ring-Exchange
• Quantum rotor theory of spinor condensates in tight traps
• Spin-one bosons in low dimensional Mott insulating states
• Magnetic phase transitions of spin-1 ultracold bosons in a cubic optical lattice
• Mott insulating phases and quantum phase transitions of interacting spin-3/2 fermionic cold atoms in optical lattices at half filling
• Mott Transition and Spin Structures of Spin-1 Bosons in Two-Dimensional Optical Lattice at Unit Filling
• Quantum magnetism of ultracold atoms with a dynamical pseudospin degree of freedom
• Superfluid phases of spin-1 bosons in cubic optical lattice
• Finite-momentum superfluidity and phase transitions in a p-wave resonant Bose gas
• Floquet-Induced Superfluidity with Periodically Modulated Interactions of Two-Species Hardcore Bosons in a One-dimensional Optical Lattice
• Finite-temperature phase transitions in quasi-two-dimensional spin-1 Bose gases
• Phase diagram of spin-1/2 bosons in one-dimensional optical lattice
• Spin Josephson vortices in two tunnel coupled spinor Bose gases
• Strong-coupling expansion for the spin-1 Bose-Hubbard model
• Coupled two-component atomic gas in an optical lattice
• Mott lobes of the $S=1$ Bose-Hubbard model with three-body interactions
• Polar Phase of 1D Bosons with Large Spin
• Magnetism of one-dimensional strongly repulsive spin-1 bosons with antiferromagnetic spin exchange interaction
• Ground states of a mixture of two species of spin-1 Bose gases with interspecies spin exchange in a magnetic field
• Gravitational wave analogues in spin nematics and cold atoms
• Manipulating atom-number distributions and detecting spatial distributions in lattice-confined spinor gases
• Simulating systems of itinerant spin-carrying particles using arrays of superconducting qubits and resonators
• Superfluid-Mott Insulator Transition of Spin-2 Cold Bosons in an Optical Lattice in a Magnetic Field
• Singlet Mott State Simulating the Bosonic Laughlin Wave Function
• Competing valence bond and symmetry breaking Mott states of spin-3/2 fermions on a honeycomb lattice
• Coupling internal atomic states in a two-component Bose-Einstein condensate via an optical lattice: Extended Mott-superfluid transitions
• Probing the Superfluid - Mott Insulating Shell Structure of Cold Atoms by Parametric Excitations
• Hyperfine Spin-Two (F=2) Atoms in Three-Dimensional Optical Lattices: Phase Diagrams and Phase Transitions
• Spin dynamics across the superfluid-insulator transition of spinful bosons
• Dynamical instability in the S=1 Bose-Hubbard model
• Phase Diagrams of Antiferromagnetic Spin-1 Bosons on Square Optical Lattice with the Quadratic Zeeman Effect
• Biaxial spin-nematic phase of two dimensional disordered rotor models and spin-one bosons in optical lattices
• Two-state Bose-Hubbard model in the hard-core boson limit
• Spin wave contribution to the nuclear spin-lattice relaxation in triplet superconductors
• Spin effects in Bose-Glass phases
• Canonical Distillation of Entanglement
• Spin-1 bosons in an external magnetic field and a three body interaction potential
• Polarization of a Bose-Einstein Condensate of Photons in a Dye-Filled Microcavity
• Isentropes of spin-1 bosons in an optical lattice
• Correlation and entanglement of two-component Bose-Einstein condensates in a double well
• Spin-1 Bose Hubbard model with nearest neighbour extended interaction
• Magnetically Stabilized Order. II: Critical states and algebraically ordered nematic spin liquids in one-dimensional optical lattices
• Berry's Phases of Ground States of Interacting Spin-One Bosons: Chains of Monopoles and Monosegments
• Rigorous Results for the Ground States of the Spin-2 Bose-Hubbard Model
• Elementary excitations of antiferromagnetic spin-1 bosons in an optical lattice
• Spin liquid phases of Mott insulating ultracold bosons
• Quantum dimer models emerging from large-spin ultracold atoms
• Adiabaticity when raising a uniform 3D optical lattice in a bimodal Bose-Einstein condensate
• Symmetry, topology, duality, chirality, and criticality in a spin-1/2 XXZ ladder with a four-spin interaction
• Stability of supercurrents in a superfluid phase of spin-1 bosons in an optical lattice
• Magnetic Properties of the Second Mott Lobe in Pairing Hamiltonians
• Spin-1 Quantum Walks
• Out-of-equilibrium dynamics of Bose-Bose mixtures in optical lattices
• Quantum phases of the biased two-chain-coupled Bose-Hubbard Ladder
• Transition from Band insulator to Bose-Einstein Condensate superfluid and Mott State of Cold Fermi Gases with Multiband Effects in Optical Lattices
• Phase transitions and spin excitations of spin-1 bosons in optical lattice
• Spin-1 Bose-Hubbard model with two- and three-body interactions
• Quantum phases of a spin-1 ultracold Bose gas with three body interactions
• Cooling into the Spin-Nematic State for a Spin-1 Bose gase in an optical lattice
• Stabilizing the false vacuum: Mott skyrmions
• Fluctuation-Driven Vortex Fractionalization in Topologically Ordered Superfluids of Cold Atoms
• Quantum phase diagram for two species hardcore bosons in one-dimensional optical lattices with the resonantly driven Rabi frequency
• Spin Ordering and Quasiparticles in Spin Triplet Superconducting Liquids
• Spinor Bose gas in an elongated trap
• Spin-polarized localization in a magnetized chain
• Thermal decoherence of long-distance entanglement in spin-1 chains
• Spin Liquid Condensate of Spinful Bosons
• Monte Carlo simulation of boson lattices
• Dynamic response of spin-2 bosons in one-dimensional optical lattices
• Bose-Einstein condensation and/or modulation of "displacements" in the two-state Bose-Hubbard model
• Effects of an attractive three body interaction on a spin-1 Bose Hubbard model
• Coleman-Weinberg mechanism in spinor Bose-Einstein condensates