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.
13 pages, 11 figures
References in corpus (10)
- Degenerate Quantum Gases with Spin-Orbit Coupling
- Orbital superfluidity in the -band of a bipartite optical square lattice
- State preparation and dynamics of ultracold atoms in higher lattice orbitals
- Spin-orbit coupling and Berry phase with ultracold atoms in 2D optical lattices
- Observing Chiral Superfluid Order by Matter-Wave Interference
- 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
- Interaction induced topological Bogoliubov excitations in a spin-orbit coupled Bose-Einstein condensate
- Intrinsic Anomalous Hall Effect in a Bosonic Chiral Superfluid