Exotic quantum spin models in spin-orbit-coupled Mott insulators

Abstract

We study cold atoms in an optical lattice with synthetic spin-orbit coupling in the Mott-insulator regime. We calculate the parameters of the corresponding tight-binding model using Peierls substitution and "localized Wannier states method" and derive the low-energy spin Hamiltonian for fermions and bosons. The spin Hamiltonian is a combination of Heisenberg model, quantum compass model and Dzyaloshinskii-Moriya interactions and it has a rich classical phase diagram with collinear, spiral and vortex phases.

5 pages, 3 color figures

References in corpus (38)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Anyons in an exactly solved model and beyond
• Maximally-localized generalized Wannier functions for composite energy bands
• Cold bosonic atoms in optical lattices
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• A spin-orbit coupled Bose-Einstein condensate
• Artificial gauge potentials for neutral atoms
• Synthetic magnetic fields for ultracold neutral atoms
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• A toolbox for lattice spin models with polar molecules
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Probing many-body states of ultra-cold atoms via noise correlations
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Counterflow Superfluidity of Two-Species Ultracold Atoms in a Commensurate Optical Lattice
• Trapped two-dimensional condensates with synthetic spin-orbit coupling
• Unconventional Bose-Einstein condensations from spin-orbit coupling
• Spin-orbit coupled Bose-Einstein condensates
• A synthetic electric force acting on neutral atoms
• Realistic Rashba and Dressehaus spin-orbit coupling for neutral atoms
• Bose Hubbard Models with Synthetic Spin-Orbit Coupling: Mott Insulators, Spin Textures and Superfluidity
• Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
• Cooling in strongly correlated optical lattices: prospects and challenges
• Quantitative Determination of Temperature in the Approach to Magnetic Order of Ultracold Fermions in an Optical Lattice
• Non-equilibrium spin dynamics in a trapped Fermi gas with effective spin-orbit interaction
• Magnetic phases of bosons with synthetic spin-orbit coupling in optical lattices
• Detecting antiferromagnetism of atoms in an optical lattice via optical Bragg scattering
• Magnetic anisotropy and low-energy spin waves in the Dzyaloshinskii-Moriya spiral magnet Ba_2 Cu Ge_2 O_7
• Quantum phase transition of ultracold bosons in the presence of a non-Abelian synthetic gauge field
• Spin-orbit coupled Bose-Einstein condensate in a tilted optical lattice
• Topological phase transitions between chiral and helical spin textures in a lattice with spin-orbit coupling and a magnetic field
• Quantum phases of atomic Fermi gases with anisotropic spin-orbit coupling
• Low-density molecular gas of tightly-bound Rashba-Dresselhaus fermions
• Maximizing the Neel temperature of fermions in a simple-cubic optical lattice
• Time-of-flight imaging method to observe signatures of antiferromagnetically ordered states of fermionic atoms in an optical lattice

Cited by in corpus (121)

• New Perspectives for Rashba Spin-Orbit Coupling
• Spin-orbit coupling in quantum gases
• Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
• Degenerate Quantum Gases with Spin-Orbit Coupling
• Bose Hubbard Models with Synthetic Spin-Orbit Coupling: Mott Insulators, Spin Textures and Superfluidity
• Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
• Direct observation of zitterbewegung in a Bose-Einstein condensate
• Spin-orbit coupled Bose-Einstein condensates in a one-dimensional optical lattice
• Unconventional states of bosons with synthetic spin-orbit coupling
• Enhanced Stability of Skyrmions in Two-Dimensional Chiral Magnets with Rashba Spin-Orbit Coupling
• Vortex and Meissner phases of strongly-interacting bosons on a two-leg ladder
• Novel Magnetism and Local Symmetry Breaking in a Mott Insulator with Strong Spin Orbit Interactions
• Spin-orbital-angular-momentum coupled Bose-Einstein condensates
• Time-Reversal-Invariant Hofstadter-Hubbard Model with Ultracold Fermions
• Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Bose-Einstein Condensates with Cavity-Mediated Spin-Orbit Coupling
• XYZ quantum Heisenberg models with p-orbital bosons
• Anderson Localization of cold atomic gases with effective spin-orbit interaction in a quasiperiodic optical lattice
• Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films
• Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
• Cavity-quantum-electrodynamical toolbox for quantum magnetism
• Spin Orbit Coupling in Periodically Driven Optical Lattices
• Realization of Qi-Wu-Zhang model in spin-orbit-coupled ultracold fermions
• Josephson physics of spin-orbit coupled elongated Bose-Einstein condensates
• Vortex lattice solutions to the Gross-Pitaevskii equation with spin-orbit coupling in optical lattices
• Quantum magnetism of bosons with synthetic gauge fields in one-dimensional optical lattices: a Density Matrix Renormalization Group study
• Dzyaloshinskii-Moriya Interaction and Spiral Order in Spin-orbit Coupled Optical Lattices
• A Kagome Map of Spin Liquids: from XXZ to Dzyaloshinskii-Moriya Ferromagnet
• Mott-Superfluid Transition for Spin-Orbit Coupled Bosons in One-Dimensional Optical Lattices
• The XYZ chain with Dzyaloshinsky-Moriya interactions: from spin-orbit-coupled lattice bosons to interacting Kitaev chains
• Ultracold Spin-Orbit Coupled Bose-Einstein Condensate in a Cavity: Route to Magnetic Phases Through Cavity Transmission
• Anisotropic quantum quench in the presence of frustration or background gauge fields: A probe of bulk currents and topological chiral edge modes
• Thermal Phase Transitions of Strongly Correlated Bosons with Spin-Orbit Coupling
• Superfluid-Insulator transition of two-species bosons with spin-orbit coupling
• Strong Interaction Effects in Superfluid Ising Quantum Phase Transition
• Superfluid and magnetic states of an ultracold Bose gas with synthetic three-dimensional spin-orbit coupling in an optical lattice
• Correlated Topological Phases and Exotic Magnetism with Ultracold Fermions
• Ultracold atoms in a square lattice with spin-orbit coupling: Charge order, superfluidity, and topological signatures
• Non-Abelian geometric phases in a system of coupled quantum bits
• Enhanced stripe phases in spin-orbit-coupled Bose-Einstein condensates in ring cavities
• Spin-orbit Coupling Effects on the Superfluidity of Fermi Gas in an Optical Lattice
• Artificial $SU(3)$ Spin-Orbit Coupling and Exotic Mott Insulators
• The evolution of magnetic structure driven by a synthetic spin-orbit coupling in two-component Bose-Hubbard model
• Dynamical generation of dark solitons in spin-orbit-coupled Bose-Einstein condensates
• Flat band analogues and flux driven extended electronic states in a class of geometrically frustrated fractal networks
• Quasi-one-dimensional spin-orbit- and Rabi-coupled bright dipolar Bose-Einstein-condensate solitons
• Ferromagnetism in a two-component Bose-Hubbard model with a synthetic spin-orbit coupling
• Static and Dynamic Properties of Interacting Spin-1 Bosons in an Optical Lattice
• Exotic Vortex States with Discrete Rotational Symmetry in Atomic Fermi Gases with Spin-Orbital-Angular-Momentum Coupling
• Spiral spin textures of bosonic Mott insulator with SU(3) spin-orbit coupling
• Rashba-type Spin-orbit Coupling in Bilayer Bose-Einstein Condensates
• Spin-orbit Coupling in Optical lattices
• Strong Coupling Expansion of the Extended Hubbard Model with Spin-Orbit Coupling
• Topological phase transitions driven by non-Abelian gauge potentials in optical square lattices
• Topological excitations in rotating Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling in a two-dimensional optical lattice
• Bose-Bose Mixtures with Synthetic Spin-Orbit Coupling in Optical Lattices
• Spin structure of harmonically trapped one-dimensional atoms with spin-orbit coupling
• The Pairing of Spin-orbit Coupled Fermi Gas in Optical Lattice
• Proposal for simulating quantum spin models with the Dzyaloshinskii-Moriya interaction using Rydberg atoms and the construction of asymptotic quantum many-body scar states
• Topological transport in a spin-orbit coupled bosonic Mott insulator
• Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields
• Controlling directed atomic motion and second-order tunneling of a spin-orbit-coupled atom in optical lattices
• Superfluid-Mott insulator transition in spin-orbit coupled Bose-Hubbard Model
• Hubbard model with Rashba or Dresselhaus spin-orbit coupling and Rotated Anti-ferromagnetic Heisenberg Model
• Fractional quantum Hall states of a Bose gas with spin-orbit coupling
• Quantum magnetism of ultracold atoms with a dynamical pseudospin degree of freedom
• Lattice symmetry and emergence of antiferromagnetic quantum Hall states
• Weyl Semimetallic State in the Rashba-Hubbard Model
• Quantum phases of strongly-interacting bosons on a two-leg Haldane ladder
• Bosons with incommensurate potential and spin-orbit coupling
• Strong coupling phases of the spin-orbit-coupled spin-1 Bose-Hubbard chain: odd integer Mott lobes and helical magnetic phases
• Vortices and vortex states in Rashba spin-orbit-coupled condensates
• Influence of Rashba spin-orbit and Rabi couplings on the miscibility and ground state phases of binary Bose-Einstein condensates
• Analytical results for the superflow of spin-orbit-coupled Bose-Einstein condensates in optical lattices
• Many-Body Phases of a Planar Bose-Einstein Condensate with Cavity-Induced Spin-Orbit Coupling
• Dynamics of spin-orbit-coupled cold atomic gases in a Floquet lattice with an impurity
• Generating an effective magnetic lattice for cold atoms
• From antiferromagnetic order to magnetic textures in the two dimensional Fermi Hubbard model with synthetic spin orbit interaction
• Quasiparticle Berry curvature and Chern numbers in spin-orbit coupled bosonic Mott insulators
• Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
• Classification of magnons in Rotated Ferromagnetic Heisenberg model and their competing responses in transverse fields
• Synthetic-gauge-field-induced resonances and Fulde-Ferrell-Larkin-Ovchinnikov states in a one-dimensional optical lattice
• Matter wave coupling of spatially separated and unequally pumped polariton condensates
• Spin-orbit coupled fermions in ladder-like optical lattices at half-filling
• Simulating systems of itinerant spin-carrying particles using arrays of superconducting qubits and resonators
• Orbital Magnetic Field Effects in Mott Insulators with Strong Spin-Orbit Coupling
• Magnetic phase transitions of insulating spin-orbit coupled Bose atoms in one-dimensional optical lattices
• $SU(3)$ Topological Insulators in the Honeycomb Lattice
• Exotic Spin Phases in Two Dimensional Spin-orbit Coupled Models: Importance of Quantum Fluctuation Effects
• Thermodynamics of a spin-1/2 XYZ Heisenberg chain with a Dzyaloshinskii-Moriya interaction
• Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
• Vortex states in a non-Abelian magnetic field
• Nonequilibrium dynamics of spin-orbit coupled lattice bosons
• Topological spin-orbit-coupled fermions beyond rotating wave approximation
• Thermodynamics of spin-orbit-coupled Bose-Einstein condensates
• Incommensurate spin density wave as a signature of spin-orbit coupling
• Emergent Hyper-Magic Manifold in Twisted Kitaev Bilayers
• Bloch bound state of spin-orbit-coupled fermions in an optical lattice
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Competing interactions in population-imbalanced two-component Bose-Einstein condensates
• Single-branch theory of ultracold Fermi gases with artificial Rashba spin-orbit coupling
• Quantum incommensurate Skyrmion crystals and Commensurate to In-commensurate transitions in cold atoms and materials with spin orbit couplings in a Zeeman field
• Quantum spin compass models in 2D electronic topological metasurfaces
• Optical Lattice Modulation Spectroscopy for Spin-orbit Coupled Bosons
• Effect of spin-orbit interaction on the critical temperature of an ideal Bose gas
• Density-Dependent Gauge Field with Raman Lattices
• Tuning the Chern number and Berry curvature with spin-orbit coupling and magnetic textures
• Stabilizing period-doubled density waves by spin-orbit coupling in Bose-Einstein condensates in optical lattices
• Study of unconventional superfluid phases and the phase dynamics in spin-orbit coupled bose system
• Mott insulators in plaquettes
• Spin-orbit-coupling-induced magnetic heterostructure in the bilayer Bose-Hubbard system
• Non-Abelian off-diagonal geometric phases in nano-engineered four-qubit systems
• Anomalous Topological Bloch Oscillations under Non-Abelian Gauge Fields
• Finite temperature mean-field theory with intrinsic non-hermitian structures for Bose gases in optical lattices
• Spin Excitation Spectra of Spin-Orbit Coupled Bosons in Optical Lattice
• Cavity Optomechanics with Ultra Cold Atoms in Synthetic Abelian and Non-Abelian Gauge Field
• Band-edge superfluid of Bose-Einstein condensates in the spin-orbit-coupled Zeeman lattice
• Universal Non-adiabatic Holonomic Gates in Quantum Dots and Single-Molecule Magnets
• Spin-orbit coupling driven superfluid states in optical lattices at zero and finite temperatures
• Tunable multi-magnon Floquet topological edge states