Non-Hermitian topological end breathers

TL;DR

This paper introduces a new type of oscillatory topological soliton called a topological end breather in a nonlinear, non-Hermitian Su-Schrieffer-Heeger lattice, expanding the understanding of topological solitons.

Contribution

It demonstrates the existence of a novel oscillatory soliton in a nonlinear, non-Hermitian topological lattice, revealing new dynamics and states induced by non-Hermitian effects.

Findings

Discovery of a stable oscillatory topological soliton called a topological end breather.

The end breather exhibits Rabi oscillations between boundary states.

Non-Hermitian effects expand the variety of topological solitons.

Abstract

Nonlinearities in lattices with topologically nontrivial band structures can give rise to topological solitons, whose properties differ from both conventional lattice solitons and linear topological boundary states. We show that a Su-Schrieffer-Heeger-type lattice with both nonlinearity and nonreciprocal non-Hermiticity hosts a novel oscillatory soliton, which we call a topological end breather. The end breather is strongly localized to a self-induced topological domain near the end of the lattice, in sharp contrast to the extended topological solitons previously found in one-dimensional lattices. Its stable oscillatory dynamics can be interpreted as a Rabi oscillation between two self-induced topological boundary states, emerging from a combination of chiral lattice symmetry and the non-Hermitian skin effect. This demonstrates that non-Hermitian effects can give rise to a wider variety of topological solitons than was previously known to exist.