2D spin-orbit coupling for ultracold atoms in optical lattices

Abstract

Spin-orbit coupling (SOC) is at the heart of many exotic band-structures and can give rise to many-body states with topological order. Here we present a general scheme based on a combination of microwave driving and lattice shaking for the realization of time-reversal invariant 2D SOC with ultracold atoms in systems with inversion symmetry. We show that the strengths of Rashba and Dresselhaus SOC can be independently tuned in a spin-dependent square lattice. More generally, our method can be used to open gaps between different spin states without breaking time-reversal symmetry. We demonstrate that this allows for the realization of topological insulators in the presence of SOC, which is closely related to the Kane-Mele model.

4 pages, 4 figures, 4 pages supplementary material

References in corpus (17)

• Many-Body Physics with Ultracold Gases
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Topological characterization of periodically-driven quantum systems
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Synthetic dimensions and spin-orbit coupling with an optical clock transition
• Optical Flux Lattices for Ultracold Atomic Gases
• Generalized Rashba spin-orbit coupling for cold atoms
• Spin-orbit coupling and Berry phase with ultracold atoms in 2D optical lattices
• Composite fermion state of spin-orbit coupled bosons
• Spin Orbit Coupling in Periodically Driven Optical Lattices

Cited by in corpus (22)

• Weak-Pairing Higher Order Topological Superconductors
• Topological Bloch oscillations
• Antiferromagnetic Chern insulators in non-centrosymmetric systems
• Almost exact state transfer in a spin chain via pulse control
• Superconducting monolayer deposited on substrate: effects of the spin-orbit coupling induced by proximity effects
• Extended Creutz ladder with spin-orbit coupling: a one-dimensional analog of the Kane-Mele model
• Tunable spin-orbit coupling and magnetic superstripe phase in a BEC
• Local Chern marker of smoothly confined Hofstadter fermions
• Spin-orbit coupling in the kagome lattice with flux and time-reversal symmetry
• Spin-orbit coupled bosons interacting in a two-dimensional harmonic trap
• Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
• Exact diagonalization of cubic lattice models in commensurate Abelian magnetic fluxes and translational invariant non-Abelian potentials
• Spin-Orbit Coupling and Topological States in $F=\frac{3}{2}$ Cold Fermi Gas
• Fractional topological insulator precursors in spin-orbit fermion ladders
• Optimized control for high-fidelity state transmission in open systems
• Phases and phase transitions of Bose condensed light
• Weyl semimetallic, Néel, spiral, and vortex states in the Rashba-Hubbard model
• Spin-helix driven insulating phase in two dimensional lattice
• Scale-Invariant Continuous Entanglement Renormalization of a Chern Insulator
• Time-reversal-invariant spin-orbit-coupled bilayer Bose-Einstein Condensates
• Experimental study of tune-out wavelengths for spin-dependent optical lattice in ${}^{87}$Rb Bose-Einstein condensation
• Chiral Spin Condensation in a One-Dimensional Optical Lattice