Edge-Selective Extremal Damping from Topological Heritage of Dissipative Chern Insulators.
PHYSICAL REVIEW LETTERS 2023;
131:256601. [PMID:
38181369 DOI:
10.1103/physrevlett.131.256601]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/28/2023] [Revised: 10/02/2023] [Accepted: 11/14/2023] [Indexed: 01/07/2024]
Abstract
One of the most important practical hallmarks of topological matter is the presence of topologically protected, exponentially localized edge states at interfaces of regions characterized by unequal topological invariants. Here, we show that, even when driven far from their equilibrium ground state, Chern insulators can inherit topological edge features from their parent Hamiltonian. In particular, we show that the asymptotic long-time approach of the nonequilibrium steady state, governed by a Lindblad master equation, can exhibit edge-selective extremal damping. This phenomenon derives from edge states of non-Hermitian extensions of the parent Chern insulator Hamiltonian. The combination of (non-Hermitian) topology and dissipation hence allows one to design topologically robust, spatially localized damping patterns.
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