Evidencing non-Bloch dynamics in temporal topolectrical circuits

Abstract

One of the core concepts from the non-Hermitian skin effect is the extended complex wavevectors (CW) in the generalized Brillouin zone (GBZ), while the origin of CW remains elusive, and further experimental demonstration of GBZ is still lacking. We show that the bulk states of an open quantum system dynamically governed by the Lindblad master equation exhibit non-Bloch evolution which results in CW. Experimentally, we present temporal topolectrical circuits to serve as simulators for the dynamics of an open system. By reconstructing the correspondence between the bulk states of an open system and circuit voltage modes through gauge scale potentials in the circuit, the non-Bloch evolution is demonstrated. Facilitated by the simulators and proper approach to characterize the non-Bloch band proposed here, the GBZ is confirmed. Our work may advance the investigation of the dissipative topological modes and provide a versatile platform for exploring the unique evolution and topology for both closed and open systems.

arXiv comment5 figures

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• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
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• Engineering non-Hermitian Second Order Topological Insulator in Quasicrystals
• Engineering topological states and quantum-inspired information processing using classical circuits
• Observing the nodal-line conversion determined by the relative homotopy
• Phase transitions of wave packet dynamics in disordered non-Hermitian systems
• Experimental observation of energy-band Riemann surface