Non-Hermitian topological end breathers

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.

arXiv comment6+4 pages, 3+3 figures, version to appear in PRB as a Letter

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Cited by in corpus (10)

• Topological Non-Hermitian skin effect
• Anomalous single-mode lasing induced by nonlinearity and the non-Hermitian skin effect
• Anomalous Floquet non-Hermitian skin effect in a ring resonator lattice
• Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
• Ring Structure in the Complex Plane: A Fingerprint of non-Hermitian Mobility Edge
• Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
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• Nonreciprocal amplification toward chaos in a chain of Duffing oscillators
• Antichiral and trap-skin dynamics in a nonreciprocal bosonic two-leg ladder with artificial magnetic flux
• Quantum transport in nonlinear Rudner-Levitov models