Degenerate Quantum Gases with Spin-Orbit Coupling

Abstract

This review focuses on recent developments on studying synthetic spin-orbit (SO) coupling in ultracold atomic gases. Two types of SO coupling are discussed. One is Raman process induced coupling between spin and motion along one of the spatial directions, and the other is Rashba SO coupling. We emphasize their common features in both single-particle and two-body physics and their consequences in many-body physics. For instance, single particle ground state degeneracy leads to novel features of superfluidity and richer phase diagram; increased low-energy density-of-state enhances interaction effects; the absence of Galilean invariance and spin-momentum locking give rise to intriguing behaviors of superfluid critical velocity and novel quantum dynamics; and mixing of two-body singlet and triplet states yields novel fermion pairing structure and topological superfluids. With these examples, we show that investigating SO coupling in cold atom systems can enrich our understanding of basic phenomena such as superfluidity, provide a good platform for simulating condensed matter states such as topological superfluids, and more importantly, result in novel quantum systems such as SO coupled unitary Fermi gas or high spin quantum gases. Finally we also point out major challenges and possible future directions.

23 pages, 17 figures. Review article; Published as Report of Progress in Physics, 78, 026001 (2015)

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Cited by in corpus (396)

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• Tunable spin-orbit coupling synthesized with a modulating gradient magnetic field
• High Controllable and Robust 2D Spin-Orbit Coupling for Quantum Gases
• Observation of nodal-line semimetal with ultracold fermions in an optical lattice
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• Charge Pumping of Interacting Fermion Atoms in the Synthetic Dimension
• Topological superradiance in a degenerate Fermi gas
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• Rotating atomic quantum gases with light-induced azimuthal gauge potentials and the observation of Hess-Fairbank effect
• Diffused vorticity and moment of inertia of a spin-orbit coupled Bose-Einstein condensate
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Excited states of two-dimensional solitons supported by the spin-orbit coupling and field-induced dipole-dipole repulsion
• Ultra-low noise magnetic field for quantum gases
• Coherently Coupled Mixtures of Bose-Einstein Condensed Gases
• Quantum smectic gauge theory
• Double-Quantum Spin Vortices in SU(3) Spin-Orbit Coupled Bose Gases
• Bose-Einstein condensation with spin-orbit coupling
• Cavity-mediated unconventional pairing in ultracold fermionic atoms
• Nonlinear localized flatband modes with spin-orbit coupling
• Quantum depletion and superfluid density of a supersolid in Raman spin-orbit coupled Bose gases
• Spin current generation and relaxation in a quenched spin-orbit-coupled Bose-Einstein condensate
• Self-trapping under the two-dimensional spin-orbit-coupling and spatially growing repulsive nonlinearity
• Interaction Control of Ultracold Alkaline-Earth Atoms
• Bose-Einstein Condensate on a Synthetic Topological Hall Cylinder
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Breathing Mode of a BEC Repulsively Interacting with a Fermionic Reservoir
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• Nonlinear dynamics of a spin-orbit-coupled Bose-Einstein condensate
• Selective insulators and anomalous responses in correlated fermions with synthetic extra dimensions
• Twisted spin vortices in a spinor-dipolar Bose-Einstein condensate with Rashba spin-orbit coupling
• Anderson transition of cold atoms with synthetic spin-orbit coupling in two-dimensional speckle potentials
• Chiral Dynamics of Ultracold Atoms under a Tunable SU(2) Synthetic Gauge Field
• Non-Abelian Generalizations of the Hofstadter model: Spin-orbit-coupled Butterfly Pairs
• Analytical approach to a bosonic ladder subject to a magnetic field
• Bose-Einstein condensate in an optical lattice with Raman-assisted two-dimensional spin-orbit coupling
• Path integral Monte Carlo ground state approach: Formalism, implementation, and applications
• Spin-orbit coupled soliton in a random potential
• Wave-packet Dynamics in Synthetic Non-Abelian Gauge Fields
• Solitons and Josephson-type oscillations in Bose-Einstein condensates with spin-orbit coupling and time-varying Raman frequency
• Spin-orbit coupling and topological phases for ultracold atoms
• Collective excitation of a trapped Bose-Einstein condensate with spin-orbit coupling
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• Enhancing Kondo Coupling in Alkaline-Earth Atomic Gases with Confinement-induced Resonances in Mixed Dimensions
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• Bilayer crystals of trapped ions for quantum information processing
• Superfluidity of a Raman spin-orbit-coupled Bose gas at finite temperature
• Signatures of pairing and spin-orbit coupling in correlation functions of Fermi gases
• Equation of State of Neutron-Rich Matter in $d$-Dimensions
• Non-Abelian geometric phases in periodically driven systems
• Dynamics of rotating spin-orbit-coupled Bose-Einstein condensates in a quasicrystalline optical lattice
• Rabi oscillations and Ramsey-type pulses in ultracold bosons: Role of interactions
• Double resonance of Raman transitions in a degenerate Fermi gas
• Electronic properties of strained double-Weyl systems
• Synthetic-gauge-field-induced resonances and Fulde-Ferrell-Larkin-Ovchinnikov states in a one-dimensional optical lattice
• Density Dependent Spin-Orbit Coupling in Degenerate Quantum Gases
• Many-Body Localization from Dynamical Gauge Fields
• Interaction-induced exotic vortex states in an optical lattice clock with spin-orbit coupling
• Induced interactions in the BCS-BEC crossover of two-dimensional Fermi gases with Rashba spin-orbit coupling
• Magnetic phase transitions of insulating spin-orbit coupled Bose atoms in one-dimensional optical lattices
• Ground-state properties of spin-orbit-coupled dipolar Bose-Einstein condensates with in-plane gradient magnetic field
• Topological nodal chains in optical lattices
• Angular topological superfluid and topological vortex in an ultracold Fermi gas
• Spin-orbit-coupled atomic Fermi gases in two-dimensional optical lattices in the presence of a Zeeman field
• Energy-level inversion for vortex states in spin-orbit coupled Bose-Einstein condensates
• $SU(3)$ Topological Insulators in the Honeycomb Lattice
• Bogoliubov excitation spectrum of an elongated condensate from quasi-one-dimensional to three-dimensional transition
• Universal relations for spin-orbit coupled Fermi gas near an s-wave resonance
• Helical superfluid in a frustrated honeycomb Bose-Hubbard model
• Quantum spiral spin-tensor magnetism
• Dynamics of kicked spin-orbit-coupled Bose-Einstein condensates
• Two-dimensional composite solitons in a spin-orbit-coupled Fermi gas in free space
• Universal Relations of Ultracold Fermi Gases with Arbitrary Spin-Orbit Coupling
• Three-component Fulde-Ferrell superfluids in a two-dimensional Fermi gas with spin-orbit coupling
• Rashba and Weyl spin-orbit coupling in an optical lattice clock
• Hydrodynamics of Normal Atomic Gases with Spin-orbit Coupling
• Accurate projective two-band description of topological superfluidity in spin-orbit-coupled Fermi gases
• Stationary solitons in F=1 spin-orbit coupled Bose-Einstein condensates
• Tunable energy-level inversion in spin-orbit-coupled Bose-Einstein condensates
• Motion of an Impurity in a Bose-Einstein Condensate with Weyl Spin-Orbit Coupling: Non-collinear Drag Force and Anisotropic Critical Velocity
• BCS pairing state of a Dilute Bose Gas with Spin-Orbit Coupling
• Multichannel Molecular State and Rectified Short-range Boundary Condition for Spin-orbit Coupled Ultracold Fermions Near p-wave Resonances
• Supercurrent-carrying supersolid in spin-orbit-coupled Bose-Einstein condensates
• Entanglement and dynamical phase transition in a spin-orbit-coupled Bose-Einstein condensate
• Spin-Orbit Coupling and Topological States in $F=\frac{3}{2}$ Cold Fermi Gas
• Universal spatiotemporal dynamics of spontaneous superfluidity breakdown in the presence of synthetic gauge fields
• Two-body bound state of ultracold Fermi atoms with two-dimensional spin-orbit coupling
• i-SPin 2: An integrator for general spin-s Gross-Pitaevskii systems
• Detection of roton and phonon excitations in a spin-orbit coupled Bose-Einstein condensate with a moving barrier
• Universal relations for hybridized $s$- and $p$-wave interactions from spin-orbital coupling
• Itinerant chiral ferromagnetism in a trapped Rashba spin-orbit coupled Fermi gas
• Phase diagram, band structure and density of states in two-dimensional attractive Fermi-Hubbard model with Rashba spin-orbit coupling
• Fractional topological insulator precursors in spin-orbit fermion ladders
• Impurity-doped scalar fields in arbitrary dimensions
• Drag force and superfluidity in the supersolid stripe phase of a spin-orbit-coupled Bose-Einstein condensate
• Artificial Magnetic Fields in Momentum Space in Spin-Orbit Coupled Systems
• Bose-Einstein condensate in Bloch bands with off-diagonal periodic potential
• Elementary quantum mechanics of the neutron with an electric dipole moment
• K-matrix formulation of two-particle scattering in a wave guide in the presence of one-dimensional spin-orbit coupling
• Ground states of dipolar spin-orbit-coupled Bose-Einstein condensates in a toroidal trap
• Bessel Vortices in Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates
• Omnidirectional spin Hall effect in a Weyl spin-orbit coupled atomic gas
• Universal dynamics of zero-momentum to plane-wave transition in spin-orbit coupled Bose-Einstein condensates
• Magnetic and nematic phases in a Weyl type spin-orbit-coupled spin-1 Bose gas
• Spin-orbit coupling in the presence of strong atomic correlations
• Spin-tensor Meissner currents of ultracold bosonic gas in an optical lattice
• Bose-Einstein condensates with Raman-induced spin-orbit coupling : An overview
• Nematic-orbit coupling and nematic density waves in spin-1 condensates
• Electric-field-induced interferometric resonance of a one-dimensional spin-orbit-coupled electron
• Two types of dark solitons in a spin-orbit-coupled Fermi gas
• Topological defects in rotating spin-orbit-coupled dipolar spin-1 Bose-Einstein condensates
• Molecular state in a spin-orbital-angular-momentum coupled Fermi gas
• Dispersion relations and self-localization of quasiparticles in coupled elongated Bose-Einstein condensates
• Field induced non-BEC transitions in frustrated magnets
• Intrinsic anomalous Hall effect across the magnetic phase transition of a spin-orbit-coupled Bose-Einstein condensate
• Finite temperature ferromagnetic transition in coherently coupled Bose gases
• Topological spin-orbit-coupled fermions beyond rotating wave approximation
• Floquet Flux Attachment in Cold Atomic Systems
• Three-boson spectrum in the presence of 1D spin-orbit coupling: Efimov's generalized radial scaling law
• Bound states of spin-orbit coupled cold atoms in a Dirac delta-function potential
• Kosterlitz-Thouless transition and vortex-antivortex lattice melting in two-dimensional Fermi gases with $p$- or $d$-wave pairing
• Exotic Haldane Superfluid Phase of Soft-Core Bosons in Optical Lattices
• Exotic Topological States with Raman-Induced Spin-Orbit Coupling
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Parametric oscillations in a dissipative bosonic Josephson junction
• Larkin-Ovchinikov superfluidity in time-reversal symmetric bilayer Fermi gases
• Ground-state properties of dipolar Bose-Einstein condensates with spin-orbit coupling and quantum fluctuations
• Spin-Orbit Coupling Induced Resonance in an Ultracold Bose Gas
• Synthetic spin-orbit coupling for the multispin models in optical lattices
• Fast transport and splitting of spin-orbit-coupled spin-1 Bose-Einstein Condensates
• Large-momentun tail of one-dimensional Fermi gases with spin-orbit coupling
• Repulsive Fermi gases in a two-dimensional lattice with non-Abelian gauge fields
• Spontaneous symmetry breaking of dual-layer solitons in spin-orbit-coupled Bose-Einstein condensates
• Unconventional pairings of spin-orbit coupled attractive degenerate Fermi gas in a one dimensional optical lattice
• Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
• Chiral Raman coupling for spin-orbit coupling in ultracold atomic gases
• Topological spinor vortex matter on spherical surface induced by non-Abelian spin-orbital-angular-momentum coupling
• Imaginary spin-orbital coupling in parity-time symmetric systems with momentum-dependent gain and loss
• Self-interfering dynamics in Bose-Einstein condensates with engineered dispersions
• Spin-sensitive atom mirror via spin-orbit interaction
• Experimental realization of a SU(3) color-orbit coupling in an ultracold gas
• Evidence for correlated states in a cluster of bosons with Rashba spin-orbit coupling
• Topological effects on transition temperatures and response functions in three-dimensional Fermi superfluids
• Heat-to-motion conversion for quantum active matter
• Particle and spin transports of spin-orbit coupled Fermi gas through a Quantum Point Contact
• Quantum corrections to a spin-orbit coupled Bose-Einstein Condensate
• Bloch bound state of spin-orbit-coupled fermions in an optical lattice
• Quantum Spin Dynamics in a Normal Bose Gas with Spin-orbit Coupling
• An oscillating Casimir potential between two impurities in a spin-orbit coupled Bose-Einstein condensate
• Tunable symmetry-protected higher-order topological states with fermionic atoms in bilayer optical lattices
• Synthetic Mutual Gauge Field in Microwave-Shielded Polar Molecular Gases
• Dynamical Zeeman resonance in spin-orbit-coupled spin-1 Bose gases
• Critical temperature in the BCS-BEC crossover with spin-orbit coupling
• Magnetic effects on Chern Kondo insulator
• A universal pairing gap measurement proposal by dynamical excitations in 2D doped attractive Fermi-Hubbard model with spin-orbit coupling
• Tuning Dissipation and Excitations in Superfluid Fermi Gases with a Moving Impurity
• Two-dimensional spin-imbalanced Fermi gases at non-zero temperature: Phase separation of a non-condensate
• Tunable nonlinear Landau-Zener tunnelings in a spin-orbit-coupled spinor Bose-Einstein condensate
• Effective potentials in a rotating spin-orbit-coupled spin-1 spinor condensate
• Transient dynamics and quantum phase diagram for the square lattice Rashba-Hubbard model at arbitrary hole doping
• Patterning by dynamically unstable spin-orbit-coupled Bose-Einstein condensates
• Superconductivity in a two-dimensional repulsive Rashba gas at low electron density
• Bose-Einstein condensates in the presence of Weyl spin-orbit coupling
• $O(N)$ smectic $\sigma$-model
• Interaction-induced chiral-transport inversion
• Topological phase transitions on a triangular optical lattice with non-Abelian gauge fields
• Itinerant ferromagnetism of a dipolar Fermi gas with Raman-induced spin-orbit coupling
• Dragging spin-orbit-coupled solitons by a moving optical lattice
• Interaction imbalanced spin-orbit coupled quantum droplets
• Momentum-space Aharonov-Bohm interferometry in Rashba spin-orbit coupled Bose-Einstein condensates
• Energetics and structural properties of two- and three-boson systems in the presence of 1D spin-orbit coupling
• Generating topological optical flux lattices for ultracold atoms by modulated Raman and radio-frequency couplings
• Quench dynamics of a Bose-Einstein condensate under synthetic spin-orbit coupling
• Dynamical structure factor and a new method to measure the pairing gap in two-dimensional attractive Fermi-Hubbard model
• Collective Oscillations of Bose-Einstein Condensates in a Synthetic Magnetic Field
• Creating moving gap solitons in spin-orbit-coupled Bose-Einstein condensates
• Twisting Optomechanical Cavity
• Collective excitations and universal coarsening dynamics of a spin-orbit-coupled spin-1 Bose-Einstein condensate
• Ultra-cold Collisions between Spin-Orbit-Coupled Dipoles: General Formalism and Universality
• Time-reversal-invariant spin-orbit-coupled bilayer Bose-Einstein Condensates
• Phase diagrams of tunable spin-orbit coupled Bose-Einstein condensates
• Spin-orbit coupled mean-field Bose gas at finite temperature
• Phase space curvature in spin-orbit coupled ultracold atom systems
• Geometric effects in the effective-mass theory and topological optical superlattices
• Vortex nucleations in spinor Bose condensates under localized synthetic magnetic fields
• Interaction-Range Effects and Universality in the BCS-BEC Crossover of Spin-Orbit Coupled Fermi Gases
• Band-edge superfluid of Bose-Einstein condensates in the spin-orbit-coupled Zeeman lattice
• Fermionic atoms in a spin-dependent optical lattice potential: topological insulators with broken time-reversal symmetry
• Spin Excitation Spectra of Spin-Orbit Coupled Bosons in Optical Lattice
• The Dynamical Stripes in Spin-Orbit Coupled Bose-Einstein Condensates with Josephson Junctions
• Fermion parity gap and exponential ground state degeneracy of the one-dimensional Fermi gas with intrinsic attractive interaction
• Chiral supersolid and dissipative time crystal in Rydberg-dressed Bose-Einstein condensates with Raman-induced spin-orbit coupling
• New Frontiers in Multidimensional Self-Trapping of Nonlinear Fields and Matter
• Two atoms in a harmonic trap with spin-orbital-angular-momentum coupling
• Josephson oscillations of chirality and identity in two-dimensional solitons in spin-orbit-coupled condensates
• Critical temperature of pair condensation in a dilute Bose gas with spin-orbit coupling
• The Single Particle Excitation Spectrum of Degenerate Fermi gases in a ring cavity
• Nonuniversal equation of state for Rabi-coupled bosonic gases: a droplet phase
• The synthetic gauge field and exotic vortex phase with spin-orbital-angular-momentum coupling
• Chiral Quantum Droplet in a Spin-Orbit Coupled Bose Gas
• Hyperfine spectroscopy and laser cooling of the fermionic isotopes ${}^{47}$Ti and ${}^{49}$Ti
• Nonlinear gap modes and compactons in a lattice model for spin-orbit coupled exciton-polaritons in zigzag chains
• Supersolid phase of a spin-orbit-coupled Bose-Einstein condensate: a perturbation approach
• Orbital Optical Raman Lattice
• Tailoring Synthetic Gauge Fields in Ultracold Atoms via Spatially Engineered Vector Beams
• Boson-Anyon-Fermion Mapping and Anyon Construction in One Dimension
• Topological quantum electrodynamics in synthetic non-Abelian gauge fields
• Spin-orbit coupled spin-boson model : A variational analysis
• Thermal Casimir effect in the spin-orbit coupled Bose gas
• Correlated phases of moat-band excitons in two dimensions
• Delocalization of charge and current in a chiral quasiparticle wave-packet
• Quantum tidal locking in orbiting Bose-Einstein condensates
• Two-component atomic Fermi superfluid with spin-orbital coupling in thin spherical-shell geometry
• Magnetically generated spin-orbit coupling for ultracold atoms with slowly varying periodic driving
• Chiral Spin Condensation in a One-Dimensional Optical Lattice
• Field-induced topological pair-density wave states in a multilayer optical lattice
• Pseudopotentials for Two-dimentional Ultracold Scattering in the Presence of Synthetic Spin-orbit-coupling
• Superfluidity of Total Angular Momentum
• Master's Thesis: Excitation Spectrum of a Weakly Interacting Spin-Orbit Coupled Bose-Einstein Condensate
• Nonlinear modes in spatially confined spin-orbit-coupled Bose-Einstein condensates with repulsive nonlinearity
• Exotic superfluid of trapped Fermi gases with spin-orbit coupling in dimensional crossover
• Constrained motions and slow dynamics in one-dimensional bosons with double-well dispersion
• Bound-State Band Reconstruction and Resonance in Spin-1/2 Bose Gas with 1D Spin-Orbit Coupling
• Interacting Bose-condensed gases
• Nonlinear management of topological solitons in a spin-orbit-coupled system
• Semi-Implicit finite-difference methods to study the spin-orbit and coherently coupled spinor Bose-Einstein condensates
• Oscillation of the counterpropagating spin-currents of cold atoms on a ring due to light-induced spin-orbit coupling
• Vortex phases and domain walls in trapped spinor Bose-Einstein condensates with inhomogeneous spin-orbital-angular-momentum coupling