Omnidirectional spin Hall effect in a Weyl spin-orbit coupled atomic gas

Abstract

We show that in the presence of a three-dimensional (Weyl) spin-orbit coupling, a transverse spin current is generated in response to either a constant spin-independent force or a time-dependent Zeeman field in an arbitrary direction. This effect is the non-Abelian counterpart of the universal intrinsic spin Hall effect characteristic to the two-dimensional Rashba spin-orbit coupling. We quantify the strength of such an omnidirectional spin Hall effect by calculating the corresponding conductivity for fermions and non-condensed bosons. The absence of any kind of disorder in ultracold-atom systems makes the observation of this effect viable.

arXiv commentPhysical Review A Editors' Suggestion

References in corpus (86)

• Topological Insulators
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Feshbach Resonances in Ultracold Gases
• Photonic Floquet Topological Insulators
• Type-II Weyl Semimetals
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Weyl Semimetal in a Topological Insulator Multilayer
• Experimental realisation of the topological Haldane model
• Universal Intrinsic Spin-Hall Effect
• A spin-orbit coupled Bose-Einstein condensate
• Artificial gauge potentials for neutral atoms
• Experimental discovery of Weyl semimetal TaAs
• Topological Insulator Materials
• Topological Hall effect in the A-phase of MnSi
• Robust optical delay lines via topological protection
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Synthetic magnetic fields for ultracold neutral atoms
• Light-induced gauge fields for ultracold atoms
• Experimental Realization of a Three-Dimensional Dirac Semimetal
• Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
• Experimental observation of Weyl points
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Spin-orbit coupling in quantum gases
• Spin-Orbit Coupled Degenerate Fermi Gases
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Bose-Einstein condensation of atoms in a uniform potential
• Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
• Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
• Degenerate Quantum Gases with Spin-Orbit Coupling
• Visualizing edge states with an atomic Bose gas in the quantum Hall regime
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Observation of topologically protected bound states in a one dimensional photonic system
• Geometrodynamics of Spinning Light
• Collective Dipole Oscillation of a Spin-Orbit Coupled Bose-Einstein Condensate
• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Observation of the Meissner effect with ultracold atoms in bosonic ladders
• Experimental reconstruction of the Berry curvature in a topological Bloch band
• Experimental realization of a two-dimensional synthetic spin-orbit coupling in ultracold Fermi gases
• Cold atoms in non-Abelian gauge potentials: From the Hofstadter "moth" to lattice gauge theory
• Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physics
• Time Reversal Invariant Topologically Insulating Circuits
• Topological properties of linear circuit lattices
• Experimental Observation of Large Chern numbers in Photonic Crystals
• Robust formation of skyrmions and topological Hall effect in epitaxial thin films of MnSi
• Observation of Zitterbewegung in a spin-orbit coupled Bose-Einstein condensate
• Spin-orbit coupled Bose-Einstein condensates
• Topologically Robust Transport of Photons in a Synthetic Gauge Field
• Realistic Rashba and Dressehaus spin-orbit coupling for neutral atoms
• Superstripes and the excitation spectrum of a spin-orbit-coupled Bose-Einstein condensate
• The spin Hall effect in a quantum gas
• Observing Zitterbewegung in Ultracold Atoms
• Synthetic 3D Spin-Orbit Coupling
• Magnetically generated spin-orbit coupling for ultracold atoms
• Effect of Induced Spin-Orbit Coupling for Atoms via Laser Fields
• Experimental Determination of the Finite-Temperature Phase Diagram of a Spin-Orbit Coupled Bose Gas
• Bloch state tomography using Wilson lines
• Weyl points in three-dimensional optical lattices: synthetic magnetic monopoles in momentum space
• Direct observation of zitterbewegung in a Bose-Einstein condensate
• Unconventional states of bosons with synthetic spin-orbit coupling
• Experimental observation of a topological band gap opening in ultracold Fermi gases with two-dimensional spin-orbit coupling
• Spin-orbit coupling and spin Hall effect for neutral atoms without spin-flips
• Synthetic partial waves in ultracold atomic collisions
• Equilibrium spin currents: Non-Abelian gauge invariance and color diamagnetism in condensed matter
• Spin gradient demagnetization cooling of ultracold atoms
• Non-equilibrium spin dynamics in a trapped Fermi gas with effective spin-orbit interaction
• Spin-Orbit Coupling Induced Coherent Production of Feshbach Molecules in a Degenerate Fermi Gas
• Nonexistence of intrinsic spin currents
• Atomic spin-orbit coupling synthesized with magnetic-field-gradient pulses
• Quasi-relativistic behavior of cold atoms in light fields
• Spin-orbit coupling and Berry phase with ultracold atoms in 2D optical lattices
• Atomic Zitterbewegung
• Floquet topological system based on frequency-modulated classical coupled harmonic oscillators
• Spin-orbit coupling and perpendicular Zeeman field for fermionic cold atoms: observation of the intrinsic anomalous Hall effect
• Anomalous Hall conductivity from the dipole mode of spin-orbit-coupled cold-atom systems
• Observation of a Geometric Hall Effect in a Spinor Bose-Einstein Condensate with a Skyrmion Spin Texture
• Magnetic focusing of charge carriers from spin-split bands: Semiclassics of a Zitterbewegung effect
• Holographic models for undoped Weyl semimetals
• Simulating Chiral Magnetic and Separation Effects with Spin-Orbit Coupled Atomic Gases
• Three-Dimensional Spin-Orbit Coupling in a Trap
• The Harper-Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling
• Von Neumann spin measurements with Rashba fields
• Analytical coupled-channels treatment of two-body scattering in the presence of three-dimensional isotropic spin-orbit coupling
• Magnetization relaxation and geometric forces in a Bose ferromagnet
• Spin evolution of cold atomic gases in SU(2)$\otimes$U(1) fields

Cited by in corpus (4)

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