Topological transitions in dissipatively coupled Su-Schrieffer-Heeger models

Abstract

Non-Hermitian topological phenomena have gained much interest among physicists in recent years. In this paper, we expound on the physics of dissipatively coupled Su-Schrieffer-Heeger (SSH) lattices, specifically in systems with bosonic and electrical constituents. In the context of electrical circuits, we demonstrate that a series of resistively coupled LCR circuits mimics the topology of a dissipatively coupled SSH model. In addition, we foreground a scheme to construct dissipatively coupled SSH lattices involving a set of non-interacting bosonic oscillators weakly coupled to engineered reservoirs of modes possessing substantially small lifetimes when compared to other system timescales. Further, by activating the coherent coupling between bosonic oscillators, we elucidate the emergence of non-reciprocal dissipative coupling which can be controlled by the phase of the coherent interaction strength precipitating in phase-dependent topological transitions and skin effect. Our analyses are generic, apropos of a large class of systems involving, for instance, optical and microwave settings, while the circuit implementation represents the most straightforward of them.

10 pages, 9 figures

References in corpus (12)

• Topological Photonics
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Topological modes bound to dislocations in mechanical metamaterials
• Manipulating Topological Edge Spins in One-Dimensional Optical Lattice
• A Superradiant Topological Peierls Insulator inside an Optical Cavity
• Engineering of topological state transfer and topological beam splitter in an even-size Su-Schrieffer-Heeger chain
• Multiple Fano interferences due to waveguide-mediated phase-coupling between atoms
• Properties of the non-Hermitian SSH model: role of PT-symmetry
• Restoration of the non-Hermitian bulk-boundary correspondence via topological amplification
• Topological atomic spinwave lattices by dissipative couplings

Cited by in corpus (4)

• Role of Bath-Induced Many-Body Interactions in the Dissipative Phases of the Su-Schrieffer-Heeger Model
• Phase transitions in a non-Hermitian Su-Schrieffer-Heeger model via Krylov spread complexity
• Degenerate Topological Edge States in Multimer Chains
• Nonreciprocal electrical transport in linear systems with balanced gain and loss in the bulk