Symmetry-Protected Topological Phase for Spin-Tensor-Momentum-Coupled Ultracold Atoms

Abstract

We propose a realizable experiment scheme to construct a one-dimensional synthetic magnetic flux lattice with spin-tensor-momentum coupled spin-1 atoms and explore its exotic topological states. Different from the Altland-Zirnbauer classification, we show that our system hosts a symmetryprotected phase protected by a magnetic group symmetry (M) and characterized by a Z2 topological invariant. In single-particle spectra, we show that the topological nontrivial phase supports two kinds of edge states, which include two (four) zero-energy edge modes in the absence (presence) of two-photon detuning. We further study the bulk-edge correspondence in a non-Hermitian model by taking into account the particle dissipation. It is shown that the non-Hermitian system preserves the bulk-edge correspondence under the M symmetry but exhibits the non-Hermitian skin effect with breaking the M symmetry at nonzero magnetic flux. This work provides insights in understanding the exotic topological quantum states of high-spin systems and facilitating their experimental explorations.

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Cited by in corpus (5)

• Unpaired topological triply degenerate point for spin-tensor-momentum-coupled ultracold atoms
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Sinusoidal magnetic field induced topological excitations in a spin-orbit coupled spinor condensate
• Hong-Ou-Mandel Interference in a temporal-average-inversion-symmetric chain
• Tunable symmetry-protected higher-order topological states with fermionic atoms in bilayer optical lattices