Topological circuit of a versatile non-Hermitian quantum system

We propose an resistors, inductors and capacitors (RLC) electrical circuit to theoretically analyze and fully simulate a new type of non-Hermitian Su-Schrieffer-Heeger (SSH) model with complex hoppings. We formulate its construction and investigate its properties by taking advantage of the circuit's versatility. Rich physical properties can be identified in this system from the normal modes of oscillation of the RLC circuit, including the highly tunable bulk-edge correspondence between topological winding numbers and edge states and the non-Hermitian skin phenomenon originating from a novel complex energy plane topology. The present study is able to show the wide and appealing topological physics inherent to electric circuits, which is readily generalizable to a plenty of both Hermitian and non-Hermitian nontrivial systems.

Automated summary

We proposed an RLC electrical circuit to theoretically analyze and simulate a new non-Hermitian SSH model with complex hoppings, showing rich physical properties such as topological winding numbers, edge states, and non-Hermitian skin phenomenon. The study demonstrates the wide-ranging topological physics inherent in electric circuits, applicable to both Hermitian and non-Hermitian systems.