Spin-exchange interactions of spin-one bosons in optical lattices: singlet, nematic and dimerized Phases

Abstract

We consider insulating phases of cold spin-1 bosonic particles with antiferromagnetic interactions, such as Na-23, in optical lattices. We show that spin-exchange interactions give rise to several distinct phases, which differ in their spin correlations. In two- and three- dimensional lattices insulating phases with odd number of particles per site are always nematic. For insulating states with even number of particles per site there is always a spin-singlet phase and there may also be a first-order transition into the nematic phase. The nematic phase breaks spin rotational symmetry, but preserves time reversal symmetry, and has gapless spin-wave excitations. The spin singlet phase does not break spin symmetry and has a gap to all excitations. In one-dimensional lattices insulating phases with odd number of particles per site always have a regime where translational symmetry is broken and the ground state is dimerized. We discuss signatures of various phases in Bragg scattering and time-of-flight measurements.

36 pages and 17 figures, revtex4

References in corpus (1)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms

Cited by in corpus (185)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Spinor Bose-Einstein condensates
• Dipolar physics: A review of experiments with magnetic quantum gases
• Excitonic Magnetism in Van Vleck-type d^4 Mott Insulators
• Non-equilibrium quantum magnetism in a dipolar lattice gas
• Implementation of Spin Hamiltonians in Optical Lattices
• Precision measurement of spin-dependent interaction strengths for spin-1 and spin-2 87Rb atoms
• Spin nematic correlations in bilinear-biquadratic S=1 spin chains
• Spin nematics in the bilinear-biquadratic S=1 spin chain
• Quantum Non-Demolition Detection of Strongly Correlated Systems
• Competing orders in one dimensional spin 3/2 fermionic systems
• Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
• Coherent collisional spin dynamics in optical lattices
• Classifying Novel Phases of Spinor Atoms
• Phase diagram of spin-1 bosons on one-dimensional lattices
• Generalized spin squeezing inequalities in $N$ qubit systems: theory and experiment
• Ultracold bosons with short-range interaction in regular optical lattices
• Spin textures in slowly rotating Bose-Einstein Condensates
• Superfluid-Mott Insulator Transition of Spin-1 Bosons in an Optical Lattice
• Emerging Bosons with Three-Body Interactions from Spin-1 Atoms in Optical Lattices
• First-order superfluid-Mott insulator transition of spinor bosons in an optical lattice
• Effective spin-chain model for strongly interacting one-dimensional atomic gases with an arbitrary spin
• Microscopic Wave Functions of Spin Singlet and Nematic Mott States of Spin-One Bosons in High Dimensional Bipartite Lattices
• Renormalization algorithm for the calculation of spectra of interacting quantum systems
• Quantum synchronization in dimer atomic lattices
• Dipolar and spinor bosonic systems
• Efficient quantum state transfer in spin chains via adiabatic passage
• Designing spin-1 lattice models using polar molecules
• The bilinear-biquadratic spin-1 chain undergoing quadratic Zeeman effect
• 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 spin nematics, dimerization, and deconfined criticality in quasi-one dimensional spin-1 magnets
• Magnetization plateaus for spin-one bosons in optical lattices: Stern-Gerlach experiments with strongly correlated atoms
• Magnetic and Superfluid Transitions in the d=1 Spin-1 Boson Hubbard Model
• Quantum insulating states of F=2 cold atoms in optical lattices
• Quantum polarization spectroscopy of ultracold spinor gases
• Field-induced phase transitions of repulsive spin-1 bosons in optical lattices
• Spin nematic order in antiferromagnetic spinor condensates
• Ferromagnetism of cold fermions loaded into a decorated square lattice
• The SU(3) bosons and the spin nematic state on the spin-1 bilinear-biquadratic triangular lattice
• Dynamics of spin-1 bosons in an optical lattice: spin mixing, quantum phase revival spectroscopy and effective three-body interactions
• Dimer-Quadrupolar Quantum Phase Transition in the Quasi-One-Dimensional Heisenberg Model with Biquadratic Interaction
• Dynamics and relaxation in spin nematics
• A ground state study of the spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice using tensor networks
• Frustration and Multicriticality in the Antiferromagnetic Spin-1 Chain
• Phase Transitions of S=1 Spinor Condensates in an Optical Lattice
• Exotic magnetic orders for high spin ultracold fermions
• Quantum control of spin-correlations in ultracold lattice gases
• Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model
• Bose-Fermi mixtures in an optical lattice
• First-order phase transition and anomalous hysteresis of Bose gases in optical lattices
• Pairing of Solitons in Two-Dimensional S=1 Magnets
• Antiferromagnetic Spinor Condensates are Quantum Rotors
• Spin nematic ground state of the triangular lattice S=1 biquadratic model
• Semi-classical simulation of spin-1 magnets
• Ground States of the Spin-1 Bose-Hubbard Model
• Spin-state Crossover Model for the Magnetism of Iron Pnictides
• Disordered spinor Bose-Hubbard model
• Duality, Criticality, Anomaly, and Topology in Quantum Spin-1 Chains
• 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
• Quantum solitons with emergent interactions in a model of cold atoms on the triangular lattice
• Quantum Critical Spin-2 Chain with Emergent SU(3) Symmetry
• Spinful bosons in an optical lattice
• A case study of spin-$1$ Heisenberg model in a triangular lattice
• Magnetically Stabilized Nematic Order I: Three-Dimensional Bipartite Optical Lattices
• First-order superfluid to Mott-insulator phase transitions in spinor condensates
• $\mathbb{C}{P}^2$ Skyrmion Crystals in an SU(3) Magnet with a Generalized Dzyaloshinskii-Moriya Interaction
• Static and Dynamic Properties of Interacting Spin-1 Bosons in an Optical Lattice
• Spiral spin textures of bosonic Mott insulator with SU(3) spin-orbit coupling
• Spin-1 Atoms in Optical Superlattices: Single-Atom Tunneling and Entanglement
• Probing magnetic order in ultracold lattice gases
• Pairing, Ferromagnetism, and Condensation of a normal spin-1 Bose gas
• On the spin-liquid phase of one dimensional spin-1 bosons
• Fractional-flux vortices and spin superfluidity in triplet superconductors
• Topological spin phases of trapped Rydberg excitons in Cu${}_2$O
• Quantum rotor theory of spinor condensates in tight traps
• Semiclassical Approach to Competing Orders in Two-leg Spin Ladder with Ring-Exchange
• Emergent SU(3) symmetry in random spin-1 chains
• Exact $k$-body representation of the Jaynes-Cummings interaction in the dressed basis: Insight into many-body phenomena with light
• Phases and collective modes of hardcore Bose-Fermi mixture in an optical lattice
• Simulating a quantum commensurate-incommensurate phase transition using two Raman coupled one dimensional condensates
• Dimerized and trimerized phases for spin-2 Bosons in a one-dimensional optical lattice
• Stability of low-dimensional multicomponent Bose gases
• Quantum optics and frontiers of physics: The third quantum revolution
• Global phase diagram of the spin-1 antiferromagnet with uniaxial anisotropy on the kagome lattice
• Magnetic phase transitions of spin-1 ultracold bosons in a cubic optical lattice
• Mean-Field Analysis of Spinor Bosons in Optical Superlattices
• Rotation-symmetry-enforced coupling of spin and angular momentum for p-orbital bosons
• Mott insulating phases and quantum phase transitions of interacting spin-3/2 fermionic cold atoms in optical lattices at half filling
• Anderson tower of states and nematic order of spin-1 bosonic atoms on a 2D lattice
• Interaction driven exotic quantum phases in spin-orbit coupled spin$-1$ bosons
• Quantum magnetism of ultracold atoms with a dynamical pseudospin degree of freedom
• Quantum critical dynamics in a spinor Hubbard model quantum simulator
• Low-energy physics of isotropic spin-1 chains in the critical and Haldane phases
• Mott Transition and Spin Structures of Spin-1 Bosons in Two-Dimensional Optical Lattice at Unit Filling
• Magnetic phase diagram and quantum phase transitions in a two-species boson model
• Strong-coupling expansion for the spin-1 Bose-Hubbard model
• Strong coupling phases of the spin-orbit-coupled spin-1 Bose-Hubbard chain: odd integer Mott lobes and helical magnetic phases
• Percolation analysis of a disordered spinor Bose gas
• Phase diagram of spin-1/2 bosons in one-dimensional optical lattice
• Polar Phase of 1D Bosons with Large Spin
• Exact models for trimerization and tetramerization in spin chains
• Symmetry-protected Topological Phases in Spinful Bosons with a Flat Band
• Mott lobes of the $S=1$ Bose-Hubbard model with three-body interactions
• Analytical solutions to the spin-1 Bose-Einstein condensates
• Coupled two-component atomic gas in an optical lattice
• Ground-state phases in antiferromagnetic spin-crossover chains
• Ground-state entanglement of spin-1 bosons undergoing superexchange interactions in optical superlattices
• "Polar" and "antiferromagnetic" order in f=1 many-boson systems
• Efficient generation of many-body singlet states of spin-1 bosons in optical superlattices
• Quantum Simulators at Negative Absolute Temperatures
• Magnetism of one-dimensional strongly repulsive spin-1 bosons with antiferromagnetic spin exchange interaction
• Symmetry breaking in low-dimensional SU(N) antiferromagnets
• Gravitational wave analogues in spin nematics and cold atoms
• Density-functional theory for the spin-1 bosons in a one-dimensional harmonic trap
• Mott phases and superfluid-insulator transition of dipolar spin-three bosons in an optical lattice: implications for Cr atoms
• Spin-driven spatial symmetry breaking of spinor condensates in a double-well
• Random SU(2)-symmetric spin-$S$ chains
• Plateau transitions of spin pump and bulk-edge correspondence
• Manipulating atom-number distributions and detecting spatial distributions in lattice-confined spinor gases
• Magnetic phases and phase diagram of spin-1 condensate with quadrupole degrees of freedom
• Quantum phase transitions and the degree of nonidentity in the system with two different species of vector bosons
• Ground-states of spin-1 bosons in asymmetric double-wells
• Magnetic phases of spin-1 lattice gases with random interactions
• Phase Diagrams for Spin-1 Bosons in an Optical Lattice
• Quantum spiral spin-tensor magnetism
• Coupling internal atomic states in a two-component Bose-Einstein condensate via an optical lattice: Extended Mott-superfluid transitions
• Competing valence bond and symmetry breaking Mott states of spin-3/2 fermions on a honeycomb lattice
• Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension
• Detection of entanglement in ultracold lattice gases
• Dynamical instability in the S=1 Bose-Hubbard model
• Spin dynamics across the superfluid-insulator transition of spinful bosons
• Biaxial spin-nematic phase of two dimensional disordered rotor models and spin-one bosons in optical lattices
• Theory of spin nematic to spin-Peierls quantum phase transition in ultracold spin-1 atoms in optical lattices
• Phase Diagrams of Antiferromagnetic Spin-1 Bosons on Square Optical Lattice with the Quadratic Zeeman Effect
• Hyperfine Spin-Two (F=2) Atoms in Three-Dimensional Optical Lattices: Phase Diagrams and Phase Transitions
• SU(3) symmetry in theory of a weakly interacting gas of spin-1 atoms with Bose-Einstein condensate
• Phase diagrams and multistep condensations of spin-1 bosonic gases in optical lattices
• Superfluidity of spin-1 bosons in optical lattices
• Strongly Spinor Ferromagnetic Bose Gases
• Nematic-orbit coupling and nematic density waves in spin-1 condensates
• Spin-1 bosons in an external magnetic field and a three body interaction potential
• Emergent SU(N) symmetry in disordered SO(N) spin chains
• Spin effects in Bose-Glass phases
• Spin-1 Bose Hubbard model with nearest neighbour extended interaction
• Renormalization group approach to spinor Bose-Fermi mixtures in a shallow optical lattice
• Magnetic Phase Transition in the Ground-State Phase Diagram of Binary Bose Gases in Optical Lattices
• Isentropes of spin-1 bosons in an optical lattice
• Magnetically Stabilized Order. II: Critical states and algebraically ordered nematic spin liquids in one-dimensional optical lattices
• Excited state spectra at the superfluid-insulator transition out of paired condensates
• Berry's Phases of Ground States of Interacting Spin-One Bosons: Chains of Monopoles and Monosegments
• Quantum dimer models emerging from large-spin ultracold atoms
• Symmetry, topology, duality, chirality, and criticality in a spin-1/2 XXZ ladder with a four-spin interaction
• Elementary excitations of antiferromagnetic spin-1 bosons in an optical lattice
• Quantum Phase Transitions and Heat Capacity in a two-atoms Bose-Hubbard Model
• Rigorous Results for the Ground States of the Spin-2 Bose-Hubbard Model
• 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 liquid phases of Mott insulating ultracold bosons
• Quantum phases of a spin-1 ultracold Bose gas with three body interactions
• Abelian and non-Abelian quantum spin liquids in a three-component Bose gas on optical Kagome lattices
• Spin-1 Quantum Walks
• Phase transitions and spin excitations of spin-1 bosons in optical lattice
• Exact solutions to the spin-2 Gross-Pitaevskii equations
• Magnetisms of spinor alkali and alkaline-earth atoms in optical lattices
• Fragmentation of a spin-1 mixture in a magnetic field
• Paired phases and Bose-Einstein condensation of spin-one bosons with attractive interaction
• Spin-1 Bose-Hubbard model with two- and three-body interactions
• Quantum entanglement of spin-1 bosons with coupled ground states in optical lattices
• Lattice-enabled detection of spin-dependent three-body interactions
• Ground state properties of the disordered spin-one Bose-Hubbard model: a stochastic mean-field theory study
• Variational simulation of higher-spin systems on qubit-based quantum simulators
• Dynamics for the Haldane phase in the Bilinear-Biquadratic Model
• Preparation of two-particle total hyperfine spin singlet states via spin-changing dynamics
• $SU(N)\to SU(2)$ symmetry breaking in quantum antiferromagnets
• Superconductivity in model cuprate as an S=1 pseudomagnon condensation
• Separation of quadrupole, spin, and charge across the magnetic phases of a one-dimensional interacting spin-1 gas
• Spinor bosons in optical superlattices: a numerical study
• Quantum Correlations in a Few-Atom Spin-1 Bose-Hubbard Model
• Dynamic response of spin-2 bosons in one-dimensional optical lattices
• Effects of an attractive three body interaction on a spin-1 Bose Hubbard model
• Extension of the Lieb-Schupp theorem to the Heisenberg models with higher order interactions