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.

arXiv comment8pages, 8figures, to appear in PRA

References in corpus (40)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Topological Photonics
• Edge states and topological invariants of non-Hermitian systems
• Non-Hermitian Physics
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Topological Origin of Non-Hermitian Skin Effects
• Non-Bloch Band Theory of Non-Hermitian Systems
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Non-Hermitian Chern bands
• Observation of bulk boundary correspondence breakdown in topolectrical circuits
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Anatomy of skin modes and topology in non-Hermitian systems
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Probing topological invariants in the bulk of a non-Hermitian optical system
• Non-Hermitian skin effect and chiral damping in open quantum systems
• Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
• Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
• Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
• Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems
• Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
• Simulation methods for open quantum many-body systems
• Quantum simulation of open-system dynamical maps with trapped ions
• 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
• Phase-dependent chiral transport and effective non-Hermitian dynamics in a bosonic Kitaev-Majorana chain
• Non-Bloch topological invariants in a non-Hermitian domain-wall system
• Localization transition, spectrum structure and winding numbers for one-dimensional non-Hermitian quasicrystals
• Dissipative spin chain as a non-Hermitian Kitaev ladder
• Unraveling the Non-Hermitian Skin Effect in Dissipative Systems
• Observation of $\mathcal{P}\mathcal{T}$-symmetric quantum coherence in a single ion system
• Engineering tunable local loss in a synthetic lattice of momentum states
• Non-Bloch $\mathcal{P}\mathcal{T}$ symmetry breaking in non-Hermitian Photonic Quantum Walks
• Non-Bloch quench dynamics
• Engineering Dissipative Quasicrystals
• Dissipation-facilitated molecules in a Fermi gas with non-Hermitian spin-orbit coupling
• Damping transition in an open generalized Aubry-André-Harper model