Observation of Non-Hermitian Topology with Nonunitary Dynamics of Solid-State Spins

Zhang, Wengang; Ouyang, Xiaolong; Huang, Xue-Lin; Wang, Xin; Zhang, Huili; Yu, Yefei; Chang, Xiuying; Liu, Yanqing; Deng, Dong-Ling; Duan, L.-M.

doi:10.1103/physrevlett.127.090501

Cited by 57 publications

(22 citation statements)

References 70 publications

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“…Among these innovative studies, the interplay between non-Hermiticity and topology attracts much attention both theoretically and experimentally [4,6,18,[49][50][51][52][53][54][55][56][57][58][59][60]. Conventionally, the topological phenomena are closely related to the bulk topological invariants defined on the Brillouin zone through the bulk-boundary correspondence [61][62][63][64][65][66][67][68].…”

Section: Introductionmentioning

confidence: 99%

Boundary condition independence of non-Hermitian Hamiltonian dynamics

2021

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The non-Hermitian skin effect, namely, that the eigenvalues and eigenstates of a non-Hermitian tight-binding Hamiltonian have significant differences under open or periodic boundary conditions, is a remarkable phenomenon of non-Hermitian systems. Inspired by the presence of the non-Hermitian skin effect, we study the evolution of wave packets in non-Hermitian systems, which can be determined using the single-particle Green's function. Surprisingly, we find that in the thermodynamic limit, the Green's function does not depend on boundary conditions, despite the presence of skin effect. We provide a general proof for this statement in arbitrary dimension with finite hopping range, with an explicit illustration in the non-Hermitian Su-Schrieffer-Heeger model. We also explore its applications in noninteracting open quantum systems described by the master equation. We demonstrate that the evolution of the density matrix is independent of the boundary condition.

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Section: Introductionmentioning

confidence: 99%

Boundary condition independence of non-Hermitian Hamiltonian dynamics

2021

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“…Introduction-Non-Hermitian topological phases constitute one of the most recent active research fields in condensed matter, cold atom, and photonic physics . They have been experimentally realized in different platforms of high controllability [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44]. So far, most previous efforts have been devoted to single-particle physics, with no or only perturbatively small many-body interactions.…”

mentioning

confidence: 99%

Symmetry breaking and spectral structure of the interacting Hatano-Nelson model

Zhang¹,

Denner²,

Bzdušek³

et al. 2022

Preprint

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“…At last, the preservation of the conventional bulk-boundary correspondence is demonstrated, but the gain/loss property of the chiral edge state under open boundary conditions (OBCs) depends on boundaries, which may be used in the control of its dynamics. This work deepens the understanding of gain/loss effects on topological insulators and may stimulate corresponding simulations with cold atoms as well as other experimental platforms, such as photonics [16,[41][42][43][44][45], nitrogen-vacancy centers [46,47], electrical circuits [48,49], and mechanical systems [50,51].…”

Section: Introductionmentioning

confidence: 83%

Gain/loss effects on spin-orbit coupled ultracold atoms in two-dimensional optical lattices

Xu,

Zhou,

Cheng

et al. 2022

Preprint

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Due to the fundamental position of spin-orbit coupled ultracold atoms in the simulation of topological insulators, the gain/loss effects on these systems should be evaluated when considering the measurement or the coupling to the environment. Here, incorporating the mature gain/loss techniques into the experimentally realized spin-orbit coupled ultracold atoms in two-dimensional optical lattices, we investigate the corresponding non-Hermitian tight-binding model, evaluating the gain/loss effects on various properties of the system in the context of non-Hermitian physics. Under periodic boundary conditions, we analytically give, via block diagonalization, the topological phase diagram, which undergoes a non-Hermitian gapless interval instead of a point of the Hermitian counterpart, causing that the complex band inversion is just a necessary but not sufficient condition for the topological phase transition. A gauge-independent non-Hermitian Wilson-line method is developed for numerically calculating the non-Hermitian Chern number of a subspace consisting of multiple complex bands, because the nodal loops of the lower/upper two bands of the Hermitian counterpart can be split into exceptional loops in this non-Hermitian model. Under open boundary conditions, we find that the conventional bulk-boundary correspondence does not break down, but the dynamics of the chiral edge states depend on the boundary selection, which may be used for the control of edge dynamics.

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Observation of Non-Hermitian Topology with Nonunitary Dynamics of Solid-State Spins

Cited by 57 publications

References 70 publications

Boundary condition independence of non-Hermitian Hamiltonian dynamics

Boundary condition independence of non-Hermitian Hamiltonian dynamics

Symmetry breaking and spectral structure of the interacting Hatano-Nelson model

Gain/loss effects on spin-orbit coupled ultracold atoms in two-dimensional optical lattices

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