Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates

Abstract

Cold atoms with laser-induced spin-orbit (SO) interactions provide intriguing new platforms to explore novel quantum physics beyond natural conditions of solids. Recent experiments demonstrated the one-dimensional (1D) SO coupling for boson and fermion gases. However, realization of 2D SO interaction, a much more important task, remains very challenging. Here we propose and experimentally realize, for the first time, 2D SO coupling and topological band with ${}^{87}$Rb degenerate gas through a minimal optical Raman lattice scheme, without relying on phase locking or fine tuning of optical potentials. A controllable crossover between 2D and 1D SO couplings is studied, and the SO effects and nontrivial band topology are observed by measuring the atomic cloud distribution and spin texture in the momentum space. Our realization of 2D SO coupling with advantages of small heating and topological stability opens a broad avenue in cold atoms to study exotic quantum phases, including the highly-sought-after topological superfluid phases.

27 pages, 5 figures

References in corpus (15)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Bose Hubbard Models with Synthetic Spin-Orbit Coupling: Mott Insulators, Spin Textures and Superfluidity
• Effect of Induced Spin-Orbit Coupling for Atoms via Laser Fields
• Optical Flux Lattices for Ultracold Atomic Gases
• Exotic quantum spin models in spin-orbit-coupled Mott insulators
• Softening of Roton and Phonon Modes in a Bose-Einstein Condensate with Spin-Orbit Coupling
• Majorana Fermions: The race continues
• Spin-orbit coupling and perpendicular Zeeman field for fermionic cold atoms: observation of the intrinsic anomalous Hall effect

Cited by in corpus (454)

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• Exposing the quantum geometry of spin-orbit coupled Fermi superfluids
• Tail-free self-accelerating solitons and vortices
• Preparing Atomic Topological Quantum Matter by Adiabatic Nonunitary Dynamics
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• Topological transport of mobile impurities
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• Emergence of the Unconventional Type-II Nambu-Goldstone Modes with Topological Origin in Bose Superfluids
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• Spontaneous symmetry breaking of dual-layer solitons in spin-orbit-coupled Bose-Einstein condensates
• Quantum corrections to a spin-orbit coupled Bose-Einstein Condensate
• Coherent spin mixing via spin-orbit coupling in Bose gases
• Dynamic structure factor of two-dimensional Fermi superfluid with Rashba spin-orbit coupling
• A universal pairing gap measurement proposal by dynamical excitations in 2D doped attractive Fermi-Hubbard model with spin-orbit coupling
• Two-spin entanglement induced by scattering of backscattering-free chiral electrons in a chern insulator
• Dynamical preparation of an atomic condensate in a Hofstadter band
• Effective potentials in a rotating spin-orbit-coupled spin-1 spinor condensate
• Dynamical detection of mean-field topological phases in an interacting Chern insulator
• Tunable symmetry-protected higher-order topological states with fermionic atoms in bilayer optical lattices
• Patterning by dynamically unstable spin-orbit-coupled Bose-Einstein condensates
• Chiral Majorana edge states in the vortex core of a $p+ip$ Fermi superfluid
• Chiral spin liquid phase in an optical lattice at mean-field level
• Characterizing Floquet topological phases by quench dynamics: A multiple-subsystem approach
• Quantum Spin Dynamics in a Normal Bose Gas with Spin-orbit Coupling
• Topological Dynamics and Correspondences in Composite Exceptional Rings
• Density-Dependent Gauge Field with Raman Lattices
• Interacting Dirac fields in an expanding universe: dynamical condensates and particle production
• Synthetic Mutual Gauge Field in Microwave-Shielded Polar Molecular Gases
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• Transfer of solitons and half-vortex solitons via adiabatic passage
• Dynamics of Topological Defects in a Rashba Spin-Orbit Coupled Bose-Einstein Condensate
• Interaction-induced chiral-transport inversion
• Measuring topological invariants of even-dimensional line-gapped non-Hermitian systems through quench dynamics
• Generating topological optical flux lattices for ultracold atoms by modulated Raman and radio-frequency couplings
• Momentum-space Aharonov-Bohm interferometry in Rashba spin-orbit coupled Bose-Einstein condensates
• Dynamically Characterizing the Structures of Dirac Points via Wave Packets
• Ultra-cold Collisions between Spin-Orbit-Coupled Dipoles: General Formalism and Universality
• Stabilizing period-doubled density waves by spin-orbit coupling in Bose-Einstein condensates in optical lattices
• Time-reversal-invariant spin-orbit-coupled bilayer Bose-Einstein Condensates
• Collective Oscillations of Bose-Einstein Condensates in a Synthetic Magnetic Field
• Effective spin dynamics of spin-orbit coupled matter-wave solitons in optical lattices
• Coherent control of spin tunneling in a spin-orbit coupled bosonic triple well
• Dragging spin-orbit-coupled solitons by a moving optical lattice
• Universal scattering phase shift in the presence of spin-orbit coupling
• Dynamical structure factor and a new method to measure the pairing gap in two-dimensional attractive Fermi-Hubbard model
• Topological Higgs Amplitude Modes in Strongly Interacting Superfluids
• Topological Fulde-Ferrell Superfluids in Triangular Lattices
• Generalized effective-potential Landau theory for the two-dimensional extended Bose-Hubbard model
• Bose-Einstein condensates in the presence of Weyl spin-orbit coupling
• Robust Weyl points in a 1D superlattice with transverse spin-orbit coupling
• Itinerant ferromagnetism of a dipolar Fermi gas with Raman-induced spin-orbit coupling
• Phase diagrams of tunable spin-orbit coupled Bose-Einstein condensates
• Superradiant phase transition with cavity assisted dynamical spin-orbit coupling
• Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems
• Nearly order from quantum disorder phenomena and its observation in a bosonic quantum anomalous Hall system
• Interaction-Range Effects and Universality in the BCS-BEC Crossover of Spin-Orbit Coupled Fermi Gases
• Anomalous Topological Bloch Oscillations under Non-Abelian Gauge Fields
• A toolbox for elementary fermions with a dipolar Fermi gas in a 3D optical lattice
• The synthetic gauge field and exotic vortex phase with spin-orbital-angular-momentum coupling
• Self-Ordered Supersolid in Spinor Condensates with Cavity-Mediated Spin-Momentum-Mixing Interactions
• Two atoms in a harmonic trap with spin-orbital-angular-momentum coupling
• Fermionic atoms in a spin-dependent optical lattice potential: topological insulators with broken time-reversal symmetry
• Triplet character of 2D-fermion dimers arising from $s$-wave attraction via spin-orbit coupling and Zeeman splitting
• Chiral supersolid and dissipative time crystal in Rydberg-dressed Bose-Einstein condensates with Raman-induced spin-orbit coupling
• The Dynamical Stripes in Spin-Orbit Coupled Bose-Einstein Condensates with Josephson Junctions
• Coherence Protection of Electron Spin in Earth-field Range by All-optical Dynamic Decoupling
• Band-edge superfluid of Bose-Einstein condensates in the spin-orbit-coupled Zeeman lattice
• Anomalous wave-packet transport on boundaries of Floquet topological systems
• Exotic Quantum States in Spin-1 Bose-Einstein Condensate with Spin-Orbit Coupling in Concentric Annular Traps
• Critical temperature of pair condensation in a dilute Bose gas with spin-orbit coupling
• Response of a strongly interacting spin-orbit coupling system to a Zeeman field
• Recent progress on disorder-induced topological phases
• Finite temperature mean-field theory with intrinsic non-hermitian structures for Bose gases in optical lattices
• Geometric effects in the effective-mass theory and topological optical superlattices
• Proposal for realizing unpaired Weyl points in a three-dimensional periodically driven optical Raman lattice
• Field-induced topological pair-density wave states in a multilayer optical lattice
• Nonlinear modes in spatially confined spin-orbit-coupled Bose-Einstein condensates with repulsive nonlinearity
• Bound-State Band Reconstruction and Resonance in Spin-1/2 Bose Gas with 1D Spin-Orbit Coupling
• Universal intrinsic higher-rank spin Hall effect
• Chiral Spin Condensation in a One-Dimensional Optical Lattice
• Preparation and observation of anomalous counterpropagating edge states in a periodically driven optical Raman lattice
• Vortex lattices in binary Bose-Einstein condensates: Collective modes, quantum fluctuations, and intercomponent entanglement
• Effect of Rashba spin-orbit and Rabi couplings on the excitation spectrum of binary Bose-Einstein condensates
• Dynamical Weyl Points and 4D Nodal Rings in Cold Atomic Gases
• Master's Thesis: Excitation Spectrum of a Weakly Interacting Spin-Orbit Coupled Bose-Einstein Condensate
• Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation
• Tailoring Synthetic Gauge Fields in Ultracold Atoms via Spatially Engineered Vector Beams
• Mesoscopic scattering dynamics under generic uniform SU(2) gauge fields: Spin-momentum relaxation and coherent backscattering
• Proposal for realizing and probing topological crystalline insulators in optical lattices
• Ultracold atomic lattice systems for simulating topological phases: A review
• Distinct reentrant transitions in a quasi-periodic Raman lattice
• Full investigation of nonadiabatic dynamical characterization in arbitrary quenching process
• A Kaleidoscope of Topological Structures in Dipolar Bose-Einstein Condensates with Weyl-Like Spin-Orbit Coupling in Anharmonic Trap
• Bardeen-Cooper-Schrieffer--type pairing in a spin-$\frac{1}{2}$ Bose gas with spin-orbit coupling
• Orbital Optical Raman Lattice
• The antiferromagnetic Chern insulator phase in the Kane-Mele-Hubbard model
• Two-component atomic Fermi superfluid with spin-orbital coupling in thin spherical-shell geometry
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
• Spin-orbit coupling driven superfluid states in optical lattices at zero and finite temperatures
• Emergence of spin-mixed superstripe phases in spin-orbit coupled spin-1 condensate
• Nonlinear management of topological solitons in a spin-orbit-coupled system
• A Universal Quantum Computing Virtual Machine
• Novel dynamical excitations and roton-based measurement of Cooper-pair momentum in a two-dimensional Fulde-Ferrell-Larkin-Ovchinnikov superfluid on optical lattices
• From orthogonal link to phase vortex in generalized dynamical Hopf insulators
• Half-vortex soliton lattices in spin-orbit-coupled Bose-Einstein condensates with a quasi-flat band
• Enhanced strong interaction effect in synthetic spin-orbit coupling with mixed spin symmetry
• Bose-Einstein condensations of magnons in quantum magnets with spin-orbit coupling in a Zeeman field
• Vortex phases and domain walls in trapped spinor Bose-Einstein condensates with inhomogeneous spin-orbital-angular-momentum coupling