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Related papers: Many-body approach to non-Hermitian physics in fer…

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Non-Hermitian theory is a theoretical framework that excels at describing open systems. It offers a powerful tool in the characterization of both the intrinsic degrees of freedom (DOFs) of a system and the interactions with the external…

Quantum Physics · Physics 2024-05-28 Kun Ding , Chen Fang , Guancong Ma

In contrast with extended Bloch waves, a single particle can become spatially localized due to the so-called skin effect originating from non-Hermitian pumping. Here we show that in kinetically-constrained many-body systems, the skin effect…

Quantum Gases · Physics 2024-09-04 Ruizhe Shen , Fang Qin , Jean-Yves Desaules , Zlatko Papić , Ching Hua Lee

Non-Hermiticity enables macroscopic accumulation of bulk states, named non-Hermitian skin effects. The non-Hermitian skin effects are well-established for single-particle systems, but their proper characterization for general systems is…

Quantum Physics · Physics 2024-10-01 Kenji Shimomura , Masatoshi Sato

In this study, we discuss a new type of bulk-boundary correspondence which holds for topological insulators and superconductors when the parity-time ($PT$) and/or parity-particle-hole ($PC$) symmetry are present. In these systems, even when…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 Ryo Takahashi , Tomoki Ozawa

Recently, it has been revealed that a variety of novel phenomena emerge in hyperbolic spaces, while non-Hermitian physics has significantly enriched the landscape of condensed matter physics. Building on these developments, we construct a…

Other Condensed Matter · Physics 2024-10-22 Ruizhe Shen , Wei Jie Chan , Ching Hua Lee

The hyperbolic lattice (HBL) has emerged as a compelling platform for exploring matter in non-Euclidean space. Among its notable features, the breakdown of the conventional Bloch theorem stands out, prompting a reexamination of band theory,…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 Mengying Hu , Jing Lin , Kun Ding

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…

Quantum Physics · Physics 2024-08-28 Saubhik Sarkar , Francesco Ciccarello , Angelo Carollo , Abolfazl Bayat

The non-Hermitian skin effect (NHSE), which drives bulk states toward system boundaries, modifies bulk-boundary correspondence and complicates the identification of topological edge modes. Although breaking translational symmetry is known…

Strongly Correlated Electrons · Physics 2026-03-25 F. Iwase

We study the properties of the entanglement spectrum in gapped non-interacting non-Hermitian systems, and its relation to the topological properties of the system Hamiltonian. Two different families of entanglement Hamiltonians can be…

Mesoscale and Nanoscale Physics · Physics 2020-01-06 Loïc Herviou , Nicolas Regnault , Jens H. Bardarson

We explore one-dimensional fermionic symmetry-protected topological (SPT) phases related by the crystalline equivalence principle. In particular, we study charge-conserving many-body topological phases of fermions protected respectively by…

Strongly Correlated Electrons · Physics 2024-12-02 Chen-Shen Lee , Ken Shiozaki , Chang-Tse Hsieh

The neutron star's crust and mantel are typical examples of non-uniform bulk systems with spacial localisations. When modelling such systems at low temperatures, as is the case in the crust, one has to work with antisymmetrised many-body…

Nuclear Theory · Physics 2012-04-18 Klaas Vantournhout , Hans Feldmeier

Rarely noted paradoxes and their resolution lead to non-Hermitian behaviors due to boundary terms, even for closed systems and with real potentials. The role played by these non-Hermiticities on quantum mechanical uncertainty relations is…

General Physics · Physics 2021-10-05 K. Moulopoulos

Non-Hermitian photonics provides a fertile platform for exploring phenomena with no Hermitian counterparts, including the non-Hermitian skin effect and exceptional points, with direct relevance for integrated photonic technologies. In this…

Optics · Physics 2026-02-26 Xiaosen Yang , Yaru Feng , Abdul Wahab , Hao Geng

Among non-Hermitian systems, pseudo-Hermitian phases represent a special class of physical models characterized by real energy spectra and by the absence of non-Hermitian skin effects. Here, we show that several pseudo-Hermitian phases in…

Mesoscale and Nanoscale Physics · Physics 2021-11-09 Yan-Qing Zhu , Wen Zheng , Shi-Liang Zhu , Giandomenico Palumbo

We investigate non-Hermitian elastic lattices characterized by non-local feedback control interactions. In one-dimensional lattices, we show that the proportional control interactions produce complex dispersion relations characterized by…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Matheus I. N. Rosa , Massimo Ruzzene

The skin effect and topological edge states in non-Hermitian system have been well-studied, and the second-order skin effect and corner modes have also been proposed in non-Hermitian system recently. In this paper, we construct the nested…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Yongxu Fu , Jihan Hu , Shaolong Wan

Quantum systems of indistinguishable particles are commonly described using the formalism of second quantisation, which relies on the assumption that any admissible quantum state must be either symmetric or anti-symmetric under particle…

Quantum Physics · Physics 2023-07-13 Benjamin Yadin , Benjamin Morris , Kay Brandner

Within the expanding field of non-Hermitian physics, non-Hermitian pumping has emerged as a key phenomenon, epitomized through the skin effect via extensive boundary mode accumulation modifying the conventional Bloch picture. Beyond…

Mesoscale and Nanoscale Physics · Physics 2020-09-02 Ching Hua Lee , Linhu Li , Ronny Thomale , Jiangbin Gong

Since the realization of quantum systems described by non-Hermitian Hamiltonians with parity-time (PT) symmetry, interest in non-Hermitian, quantum many-body models has steadily grown. Most studies to-date map to traditional quantum spin…

Quantum Physics · Physics 2023-12-07 Jacob Muldoon , Yogesh N. Joglekar

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