Spontaneous topological pumping in non-Hermitian systems

Abstract

We introduce modulational instability in non-Hermitian systems to study state conversion of topological edge states. We show that state conversion in non-Hermitian systems leads to topological pumping, which is a way of transferring topological edge state from one edge to the opposite edge. In contrast to Hermitian systems, topological pumping can occur spontaneously in non-Hermitian systems.

To appear in Physical Review A

References in corpus (6)

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• Dynamically encircling exceptional points: Exact evolution and polarization state conversion
• Topological phase in a non-Hermitian PT symmetric system
• Su-Schrieffer-Heeger chain with one pair of PT-symmetric defects
• Theory of superconductivity with non-Hermitian and parity-time reversal symmetric cooper pairing symmetry
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Cited by in corpus (5)

• Topological states in non-Hermitian two-dimensional Su-Schrieffer-Heeger model
• Fate of zero modes in a finite Su-Schrieffer-Heeger Model with $\mathcal{P}\mathcal{T}$ Symmetry
• Topological states at exceptional points
• Non-Hermitian tuned topological band gap
• Quantum transport in nonlinear Rudner-Levitov models