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We study the emergence of non-Hermitian band topology in a two-dimensional metal with planar spiral magnetism due to a momentum-dependent relaxation rate. A sufficiently strong momentum dependence of the relaxation rate leads to exceptional…

Strongly Correlated Electrons · Physics 2021-11-17 Johannes Mitscherling , Walter Metzner

We show the existence of non-Hermitian degeneracies, known as exceptional points, in the collective mode spectrum of Fermi liquids with quadrupolar interactions. Through a careful analysis of the analytic properties of the dynamic…

Strongly Correlated Electrons · Physics 2020-11-26 Rui Aquino , Daniel G. Barci

The non-Hermitian skin effect (NHSE) refers to that an extensive number of eigenstates of a non-Hermitian system are localized in open boundaries. Here we predict a universal phenomenon that with local particle-hole(-like) symmetry (PHS)…

Mesoscale and Nanoscale Physics · Physics 2023-08-31 Zhi-Yuan Wang , Jian-Song Hong , Xiong-Jun Liu

In this work, we propose a theory on the two-dimensional non-Hermitian skin effect by resolving two representative minimal models. Specifically, we show that for any given non-Hermitian Hamiltonian, (i) the corresponding region covered by…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Zeqi Xu , Bo Pang , Kai Zhang , Zhesen Yang

Phase transitions in non-Hermitian systems are at the focus of cutting edge theoretical and experimental research. On the one hand, parity-time- ($\cal PT$-) and anti-$\cal PT$-symmetric physics have gained ever-growing interest, due to the…

Quantum Physics · Physics 2023-01-10 Ievgen I. Arkhipov , Fabrizio Minganti

The non-Hermitian skin effect (NHSE), a striking phenomenon where a large number of states accumulate toward open boundaries, has garnered significant attention in both fundamental physics and emerging applications. Recent theoretical…

Applied Physics · Physics 2025-04-08 Wenquan Wu , Qicheng Zhang , Liangjun Qi , Kun Zhang , Shuaishuai Tong , Chunyin Qiu

Non-Hermitian systems can exhibit extraordinary sensitivity to boundary conditions. Given that topological boundary modes and non-Hermitian skin effects can either coexist or individually appear in non-Hermitian systems, it is of great…

Quantum Physics · Physics 2024-02-27 Xintong Zhang , Jing Li

We study a Bose-Einstein condensate of ultracold atoms subject to a non-Hermitian spin-orbit coupling, where the system acquires non-Hermitian skin effect under the interplay of spin-orbit coupling and laser-induced atom loss. The presence…

Quantum Gases · Physics 2022-11-02 Haowei Li , Xiaoling Cui , Wei Yi

We study interaction-induced Mott insulators, and their topological properties in a 1D non-Hermitian strongly-correlated spinful fermionic superlattice system with either nonreciprocal hopping or complex-valued interaction. For the…

Strongly Correlated Electrons · Physics 2021-01-13 Tao Liu , James Jun He , Tsuneya Yoshida , Ze-Liang Xiang , Franco Nori

A lossy quantum system harboring the non-Hermitian skin effect can in certain conditions exhibit anomalously high loss at the boundaries of the system compared to the bulk, a phenomenon termed the non-Hermitian edge burst. We uncover…

Quantum Physics · Physics 2025-03-20 Jin Ming Koh , Wen-Tan Xue , Tommy Tai , Dax Enshan Koh , Ching Hua Lee

The non-Hermitian skin effect, i.e. eigenstate condensation at the edges in lattices with open boundaries, is an exotic manifestation of non-Hermitian systems. In Bloch theory, an effective non-Hermitian Hamiltonian is generally used to…

Quantum Physics · Physics 2020-12-15 Stefano Longhi

Topological phases of matter commonly feature protected states at their boundaries. Transferring this protection to time-metamaterials is extremely challenging, as it requires the generation of an abrupt interface between two topologically…

Topological states in non-Hermitian systems are known to exhibit some anomalous features. Here, we find two new anomalous features of non-Hermitian topological states. We consider a one dimensional nonreciprocal Hamiltonian and show that…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 C. Yuce

Non-Hermitian skin effects (NHSEs) have recently been extensively studied at the single-particle level. When many-body interactions become dominant, novel non-Hermitian phenomena can emerge. In this work, we propose an experimentally…

Quantum Gases · Physics 2025-07-14 Yang Li , Zhao-Fan Cai , Tao Liu , Franco Nori

We give a simple toy model to study a famous Jahn-Teller type molecule. Finite lifetime due to non-adiabatic coupling and finite temperature effect results in the effective Hamiltonian to be non-Hermitian. This effect pulls a conical…

Chemical Physics · Physics 2020-10-06 J. Li

The non-Hermitian skin effect is an anomalous localization phenomenon induced by nonreciprocal dissipation and has attracted considerable attention in recent years both theoretically and experimentally. In this article, we review the…

Disordered Systems and Neural Networks · Physics 2026-03-30 Shu Hamanaka

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)…

Quantum Physics · Physics 2023-10-25 Matteo Brunelli , Clara C. Wanjura , Andreas Nunnenkamp

Non-Hermitian systems, going beyond conventional Hermitian systems, have brought in intriguing concepts such as exceptional points and complex spectral topology as well as exotic phenomena such as non-Hermitian skin effects (NHSEs).…

Quantum Physics · Physics 2024-09-23 Li-Wei Wang , Jian-Hua Jiang

We study the impact of non-Hermiticity on the molecule formation in a two-component spin-orbit-coupled Fermi gas near a wide Feshbach resonance. Under an experimentally feasible configuration where the two-photon Raman process is…

Quantum Gases · Physics 2020-10-09 Lihong Zhou , Wei Yi , Xiaoling Cui

Nonlinear effects could play a crucial role in addressing optical nonreciprocal behaviors in scattering media. Such behaviors are, however, typically observed within a single transmission channel and predominantly in media with fixed…

Optics · Physics 2025-04-07 Xiao Liu , M. Artoni , G. C. La Rocca , Jin-Hui Wu
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