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We consider the spectrum of a $U(1)$ quantum link model where gauge fields are realized as $S=1/2$ spins and demonstrate a new mechanism for generating quantum many-body scars (high-energy eigenstates that violate the eigenstate…

Strongly Correlated Electrons · Physics 2021-06-08 Debasish Banerjee , Arnab Sen

We study the transport and spectral properties of a non-Hermitian one-dimensional disordered lattice, the diagonal matrix elements of which are random complex variables taking both positive (loss) and negative (gain) imaginary values: Their…

Disordered Systems and Neural Networks · Physics 2021-03-16 A. F. Tzortzakakis , K. G. Makris , A. Szameit , E. N. Economou

The eigenvalue of the hermitic Hamiltonian is real undoubtedly. Actually, The reality can also be guaranteed by the $PT$-symmetry. The hermiticity and the $PT$-symmetric quantum theory both have requirements regarding the boundary…

Quantum Physics · Physics 2018-03-16 Hao Jiang , Xiang-Jun Kong , Hui-Ping Huang

We investigate the localization behavior of two-particle Hubbard model in the presence of non-reciprocal tunneling and non-Hermitian bound states can be obtained with strong repulsive interaction. Remarkably, the interaction induced bound…

Quantum Physics · Physics 2025-02-10 Huan-Yu Wang , Ji Li , Wu-Ming Liu , Lin Wen , Xiao-Fei Zhang

The spectrum of a one-dimensional pseudospin-one Hamiltonian with a three-component potential is studied for two configurations: (i) all the potential components are constants over the whole coordinate space and (ii) the profile of some…

Quantum Physics · Physics 2023-10-30 A. V. Zolotaryuk , Y. Zolotaryuk , V. P. Gusynin

We propose an idea of eigenstate clustering in non-Hermitian systems. We show that non-orthogonal eigenstates can be clustered around exceptional points and illustrate our idea on some models. We discuss that exponential localization of…

Quantum Physics · Physics 2020-09-03 Cem Yuce

We show that the stochastic dynamics of a large class of one-dimensional interacting particle systems may be presented by integrable quantum spin Hamiltonians. Using the Bethe ansatz and similarity transformations this yields new exact…

Condensed Matter · Physics 2007-05-23 Gunter M. Schütz

On the contrary to the common intuition, which suggests that a steep expulsive potential makes quantum states widely delocalized, we demonstrate that one- and two-dimensional (1D and 2D) Schroedinger equations, which include expulsive…

Quantum Physics · Physics 2026-04-28 H. Sakaguchi , B. A. Malomed , A. C. Aristotelous , E. G. Charalampidis

This work comprehensively investigates the non-Hermitian skin effect (NHSE) in a spinless Bernevig- Hughes-Zhang (BHZ)-like model in one dimension. It is generally believed that a system with non-reciprocal hopping amplitudes demonstrates…

Mesoscale and Nanoscale Physics · Physics 2024-05-24 Dipendu Halder , Saurabh Basu

Non-Hermitian skin effect(NHSE) describes a unique non-Hermitian phenomenon that all eigen-modes are localized near the boundary, and has profound impact on a wide range of bulk properties. In particular, topological systems with NHSE have…

Quantum Gases · Physics 2022-11-29 Lihong Zhou , Haowei Li , Wei Yi , Xiaoling Cui

Open quantum systems governed by non-Hermitian effective Hamiltonians exhibit unique phenomena, such as the non-Hermitian skin effect, where eigenstates localize at system boundaries. We investigate this effect in a Rashba nanowire coupled…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Carlos Payá , Oliver Solow , Elsa Prada , Ramón Aguado , Karsten Flensberg

This paper shows that the skin effect in systems of non-Hermitian subwavelength resonators is robust with respect to random imperfections in the system. The subwavelength resonators are highly contrasting material inclusions that resonate…

Mathematical Physics · Physics 2023-08-14 Habib Ammari , Silvio Barandun , Bryn Davies , Erik Orvehed Hiltunen , Ping Liu

Non-Hermitian quantum many-body systems exhibit a rich array of physical phenomena, including non-Hermitian skin effects and exceptional points, that remain largely inaccessible to existing numerical techniques. In this work, we investigate…

Quantum Physics · Physics 2026-03-09 Massimo Solinas , Brandon Barton , Yuxuan Zhang , Jannes Nys , Juan Carrasquilla

We unveil an unexpected non-Hermitian phenomenon, dubbed edge burst, in non-Hermitian quantum dynamics. Specifically, in a class of non-Hermitian quantum walk in periodic lattices with open boundary condition, an exceptionally large portion…

Quantum Physics · Physics 2022-03-25 Wen-Tan Xue , Yu-Min Hu , Fei Song , Zhong Wang

We discuss localized ground states of the periodic Gross-Pitaevskii equation in the framework of a quantum linear Schr\"odinger equation with effective potential determined in self-consistent manner. We show that depending on the…

Soft Condensed Matter · Physics 2007-05-23 Mario Salerno

The Hatano-Nelson model is one of the most prototypical non-Hermitian models that exhibit the intrinsic non-Hermitian topological phases and the concomitant skin effect. These phenomena unique to non-Hermitian topological systems originate…

Strongly Correlated Electrons · Physics 2023-09-19 Taozhi Guo , Kohei Kawabata , Ryota Nakai , Shinsei Ryu

Amid the growing interest in non-Hermitian quantum systems, non-interacting models have received the most attention. Here, through the stochastic series expansion quantum Monte Carlo method, we investigate non-Hermitian physics in…

Quantum Physics · Physics 2023-12-12 Shi-Xin Hu , Yongxu Fu , Yi Zhang

Discrepancies between theory and recent qBounce data have prompted renewed scrutiny of how boundary conditions are implemented for ultracold neutrons bouncing above a mirror in Earth's gravity. We apply the theory of self-adjoint extensions…

Quantum Physics · Physics 2025-10-20 Eric J. Sung , Benjamin Koch , Tobias Jenke , Hartmut Abele , Denys I. Bondar

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

Non-Hermitian physics enriches the topological attributes of non-Abelian systems. Non-Abelian systems characterized by noncommutative braid patterns are associated with intriguing physical features and applications. Non-Abelian braiding of…

Optics · Physics 2025-06-30 Samit Kumar Gupta