Topological transitions in dissipatively coupled Su-Schrieffer-Heeger models

TL;DR

This paper explores topological phase transitions in dissipatively coupled SSH models, demonstrating realizations in electrical circuits and bosonic systems, revealing controllable non-reciprocal dissipation and skin effects.

Contribution

It introduces a scheme to realize dissipatively coupled SSH lattices in bosonic and electrical systems, highlighting phase-controlled topological transitions and non-reciprocal dissipation effects.

Findings

Electrical circuits can mimic dissipative SSH topology.

Coherent coupling induces phase-dependent topological transitions.

Non-reciprocal dissipation leads to skin effects.

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.