Intrinsic anomalous Hall effect across the magnetic phase transition of a spin-orbit-coupled Bose-Einstein condensate
arXiv:2211.15511 · doi:10.1103/PhysRevResearch.5.023070
Abstract
We study theoretically the zero temperature intrinsic anomalous Hall effect in an experimentally realized 2D spin-orbit coupled Bose gas. For anisotropic atomic interactions and as the spin-orbit coupling strength increases, the system undergoes a ground state phase transition from states exhibiting a total in-plane magnetization to those with a perpendicular magnetization along the direction. We show that finite frequency, or ac, Hall responses exist in both phases in the absence of an artificial magnetic field, as a result of finite inter-band transitions. However, the characteristics of the anomalous Hall responses are drastically different in these two phases because of the different symmetries preserved by the corresponding ground states. In particular, we find a finite dc Hall conductivity in one phase but not the other. The underlying physical reasons for this are analyzed further by exploring relations of the dc Hall conductivity to the system's chirality and Berry curvatures of the Bloch bands. Finally, we discuss an experimental method of probing the anomalous Hall effect in trapped systems.
arXiv comment13 pages, 11 figures
References in corpus (35)
- Topological Insulators
- Topological insulators and superconductors
- Berry Phase Effects on Electronic Properties
- Anomalous Hall effect
- Experimental realisation of the topological Haldane model
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Direct Measurement of the Zak phase in Topological Bloch Bands
- Topological Bands for Ultracold Atoms
- Degenerate Quantum Gases with Spin-Orbit Coupling
- Chiral Superconductors
- Orbital superfluidity in the -band of a bipartite optical square lattice
- State preparation and dynamics of ultracold atoms in higher lattice orbitals
- Quantum phase transition to unconventional multi-orbital superfluidity in optical lattices
- Quantum transport in ultracold atoms
- Probing topology by "heating": Quantized circular dichroism in ultracold atoms
- High Controllable and Robust 2D Spin-Orbit Coupling for Quantum Gases
- Physics of higher orbital bands in optical lattices: a review
- Spin-orbit coupling and Berry phase with ultracold atoms in 2D optical lattices
- Conductivity spectrum of ultracold atoms in an optical lattice
- Topological Varma superfluid in optical lattices
- Interaction-induced chiral p_x \pm i p_y superfluid order of bosons in an optical lattice
- Observing Chiral Superfluid Order by Matter-Wave Interference
- Anomalous Hall conductivity from the dipole mode of spin-orbit-coupled cold-atom systems
- Orbital optical lattices with bosons
- π-flux Dirac bosons and topological edge excitations in a bosonic chiral p-wave superfluid
- Bose-Einstein condensate in an optical lattice with Raman-assisted two-dimensional spin-orbit coupling
- Breaking inversion symmetry in a state-dependent honeycomb lattice: Artificial graphene with tunable band gap
- Quantum degenerate Fermi gas in an orbital optical lattice
- Probing the optical conductivity of trapped charge-neutral quantum gases
- Orbital many-body dynamics of bosons in the second Bloch band of an optical lattice
- Intrinsic Anomalous Hall Effect in a Bosonic Chiral Superfluid
- Interaction induced topological Bogoliubov excitations in a spin-orbit coupled Bose-Einstein condensate
- Berry Curvature of interacting bosons in a honeycomb lattice
- Detecting chiral pairing and topological superfluidity using circular dichroism