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The energy bands of non-Hermitian systems exhibit nontrivial topological features that arise from the complex nature of the energy spectrum. Under periodic boundary conditions (PBC), the energy spectrum describes rather generally closed…

量子物理 · 物理学 2022-07-26 Stefano Longhi

Non-Hermitian physics predicts open quantum system dynamics with unique topological features such as exceptional points and the non-Hermitian skin effect. We show that this new paradigm of topological systems can serve as probes for bulk…

量子物理 · 物理学 2024-08-28 Saubhik Sarkar , Francesco Ciccarello , Angelo Carollo , Abolfazl Bayat

We propose a novel type of skin effects in non-Hermitian quantum many-body systems which we dub a non-Hermitian Mott skin effect. This phenomenon is induced by the interplay between strong correlations and the non-Hermitian point-gap…

强关联电子 · 物理学 2024-08-16 Tsuneya Yoshida , Song-Bo Zhang , Titus Neupert , Norio Kawakami

The excitation properties of quantum many-body systems are encoded in their response functions. These functions define an associated response Hamiltonian, which is intrinsically non-Hermitian due to the dissipative nature of retarded…

介观与纳米尺度物理 · 物理学 2025-09-24 Zhesen Yang , Zihan Wang , Juntao Huang , Zijian Zheng , Jiangping Hu

Bulk-boundary correspondences (BBCs) remain the central topic in modern condensed matter physics, and are gaining increasing interests with the recent discovery of non-Hermitian skin effects. However, there still exist profound features of…

量子气体 · 物理学 2024-07-12 Huan-Yu Wang , Zhen-Biao Yang , Wu-Ming Liu

The Liouvillian skin effect describes the boundary affinity of Liouvillian eignemodes that originates from the intrinsic non-Hermiticity of the Liouvillian superoperators. Dynamically, it manifests as directional flow in the transient…

量子物理 · 物理学 2025-04-10 De-Huan Cai , Wei Yi , Chen-Xiao Dong

The non-Hermitian skin effect is fundamentally characterized by its sensitivity to boundary conditions, reflected in changes to the energy spectrum and boundary-localized eigenstates. Here, we demonstrate that a spatially inhomogeneous…

介观与纳米尺度物理 · 物理学 2026-05-18 Zheng Wei , Ji-Yao Fan , Kui Cao , Xin-Ran Ma , Cui-Xian Guo , Xue-Ping Ren , Su-Peng Kou

Non-Hermitian (NH) lattice Hamiltonians display a unique kind of energy gap and extreme sensitivity to boundary conditions. Due to the NH skin effect, the separation between edge and bulk states is blurred and the (conventional)…

量子物理 · 物理学 2023-10-25 Matteo Brunelli , Clara C. Wanjura , Andreas Nunnenkamp

We study the skin effect in a one-dimensional system of finitely many subwavelength resonators with a non-Hermitian imaginary gauge potential. Using Toeplitz matrix theory, we prove the condensation of bulk eigenmodes at one of the edges of…

偏微分方程分析 · 数学 2023-06-28 Habib Ammari , Silvio Barandun , Jinghao Cao , Bryn Davies , Erik Orvehed Hiltunen

We propose and systematically analyze a practical scheme for implementing a one-dimensional non-Hermitian Su-Schrieffer-Heeger model using individually addressable Rydberg atom arrays. Our setup consists of an atomic chain with three-atom…

量子物理 · 物理学 2026-01-29 J. N. Bai , F. Yang , D. Yan , Weibin Li , X. Q. Shao

Skin effect, where macroscopically many bulk states are aggregated towards the system boundary, is one of the most important and distinguishing phenomena in non-Hermitian quantum systems. We discuss a new aspect of this effect whereby,…

介观与纳米尺度物理 · 物理学 2021-12-17 Ming Lu , Xiao-Xiao Zhang , Marcel Franz

Non-Hermitian skin effect, the localization of an extensive number of eigenstates at the ends of the system, has greatly expanded the frontier of physical laws. It has long been believed that the present of skin modes is equivalent to the…

介观与纳米尺度物理 · 物理学 2023-04-17 Gang-Feng Guo , Xi-Xi Bao , Han-Jie Zhu , Xiao-Ming Zhao , Lin Zhuang , Lei Tan , Wu-Ming Liu

The interplay between non-Hermitian topology and disorder remains a central puzzle in open quantum systems. While the non-Hermitian skin effect (NHSE) is known to be robust against weak perturbations, its fate under strong disorder,…

无序系统与神经网络 · 物理学 2025-12-04 Ali Tozar

We revisit the fate of the skin modes in many-body non-Hermitian fermionic systems. Contrary to the single-particle case, the many-body ground state cannot exhibit an exponential localization of all eigenstates due to the Pauli exclusion…

介观与纳米尺度物理 · 物理学 2023-05-05 Faisal Alsallom , Loïc Herviou , Oleg V. Yazyev , Marta Brzezińska

The interplay between non-Hermitian effects and topological insulators has become a frontier of research in non-Hermitian physics. However, the existence of a non-Hermitian skin effect for topological-protected edge states remains…

量子物理 · 物理学 2024-05-29 Xinran Ma , Kui Cao , Xiaoran Wang , Zheng Wei , Supeng Kou

The bulk-boundary correspondence is among the central issues of non-Hermitian topological states. We show that a previously overlooked `non-Hermitian skin effect' necessitates redefinition of topological invariants in a generalized…

介观与纳米尺度物理 · 物理学 2018-09-07 Shunyu Yao , Zhong Wang

In previous studies, the topological invariants of 1D non-Hermitian systems have been defined in open boundary condition (OBC) to satisfy the bulk-boundary correspondence. The extreme sensitivity of bulk energy spectra to boundary…

介观与纳米尺度物理 · 物理学 2020-06-30 Eunwoo Lee , Hyunjik Lee , Bohm-Jung Yang

We show for generic quantum non-Hermitian tight-binding models that relaxation timescales of local observables are not controlled by the localization length $\xi_{\rm loc}$ associated with the non-Hermitian skin effect, contrary to popular…

量子物理 · 物理学 2023-08-29 Gideon Lee , Alexander McDonald , Aashish Clerk

Non-Hermitian topological systems have attracted a lot of research activities in recent times, both theoretically and experimentally, due to their unique physical properties and association with open quantum systems. We show that modular…

量子物理 · 物理学 2026-05-29 Saubhik Sarkar , Chiranjib Mukhopadhyay , Abolfazl Bayat

Non-Hermitian systems exhibit novel phenomena without Hermitian counterparts, such as exceptional points and the non-Hermitian skin effect. These non-Hermitian topological phenomena are observable in single-particle excitations of…

强关联电子 · 物理学 2024-09-11 Robert Peters , Tsuneya Yoshida