Topology and its detection in a dissipative Aharonov-Bohm chain

Abstract

In a recent experiment, a dissipative Aharaonov-Bohm (AB) chain was implemented in the momentum space of a Bose-Einstein condensate. Formed by a series of dissipative AB rings threaded by synthetic magnetic flux, the chain exhibits the non-Hermitian skin effect, necessitating the non-Bloch band theory to account for its topology. In this work, we systematically characterize topological features of the dissipative AB chain, particularly beyond the experimentally realized parameter regime. Further, we show that an atom-injection spectroscopy is not only capable of revealing topological edge states, as has been demonstrated in the experiment, but also the general band structure of the system. We then discuss alternative dynamic detection schemes for the topological edge states. Given the generality of the model and the detection schemes, our work is helpful to future study of topological models with non-Hermitian skin effects across a variety of quantum simulators.

8pages, 8figures, to appear in PRA

References in corpus (13)

• Topological Origin of Non-Hermitian Skin Effects
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
• Tunable non-reciprocal quantum transport through a dissipative Aharonov-Bohm ring in ultracold atoms
• Observation of non-Bloch parity-time symmetry and exceptional points
• Detecting topological invariants in nonunitary discrete-time quantum walks
• Non-Bloch topological invariants in a non-Hermitian domain-wall system
• Localization transition, spectrum structure and winding numbers for one-dimensional non-Hermitian quasicrystals
• Unraveling the Non-Hermitian Skin Effect in Dissipative Systems
• Non-Bloch quench dynamics
• Engineering Dissipative Quasicrystals
• Damping transition in an open generalized Aubry-André-Harper model