Evidencing non-Bloch dynamics in temporal topolectrical circuits

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...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Wu, Maopeng, Zhao, Qian, Kang, Lei, Weng, Mingze, Chi, Zhonghai, Ruiguang Peng, Liu, Jingquan, Werner, Douglas H, Meng, Yonggang, Zhou, Ji
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 23.06.2022
Subjects
Bloch band
Brillouin zones
Circuits
Evolution
Open systems
Physics - Materials Science
Physics - Mesoscale and Nanoscale Physics
Quantum theory
Simulators
Skin effect
Topology
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2206.11542