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...
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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. |
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AbstractList | 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. 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. |
Author | Werner, Douglas H Chi, Zhonghai Liu, Jingquan Zhao, Qian Zhou, Ji Kang, Lei Weng, Mingze Ruiguang Peng Meng, Yonggang Wu, Maopeng |
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BackLink | https://doi.org/10.1103/PhysRevB.107.064307$$DView published paper (Access to full text may be restricted) https://doi.org/10.48550/arXiv.2206.11542$$DView paper in arXiv |
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Snippet | 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... 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... |
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SubjectTerms | Bloch band Brillouin zones Circuits Evolution Open systems Physics - Materials Science Physics - Mesoscale and Nanoscale Physics Quantum theory Simulators Skin effect Topology |
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Title | Evidencing non-Bloch dynamics in temporal topolectrical circuits |
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