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In this work we study topological properties of the one-dimensional Creutz ladder model with different non-Hermitian asymmetric hoppings and on-site imaginary potentials, and obtain phase diagrams regarding the presence and absence of an…

Quantum Physics · Physics 2022-01-14 Hui-Qiang Liang , Linhu Li

A unique feature of non-Hermitian (NH) systems is the NH skin effect, i.e. the edge localization of an extensive number of bulk-band eigenstates in a lattice with open or semi-infinite boundaries. Unlike extended Bloch waves in Hermitian…

Quantum Physics · Physics 2022-04-14 Stefano Longhi

Recently, the search for topological states of matter has turned to non-Hermitian systems, which exhibit a rich variety of unique properties without Hermitian counterparts. Lattices modeled through non-Hermitian Hamiltonians appear in the…

Mesoscale and Nanoscale Physics · Physics 2019-01-21 V. M. Martinez Alvarez , J. E. Barrios Vargas , M. Berdakin , L. E. F. Foa Torres

Non-Hermitian physics exhibits unique physical properties beyond those of traditional Hermitian systems, such as symmetry breaking, the emergence of exceptional points, topological phase transitions, and more. These phenomena have been…

Quantum Gases · Physics 2026-02-10 Ya-Jun Wang , Jun Zhang , Dong-Sheng Ding

The discovery of topological phases has ushered in a new era of condensed matter physics and revealed a variety of natural and artificial materials. They obey the bulk-boundary correspondence (BBC), which guarantees the emergence of…

Other Condensed Matter · Physics 2026-03-06 Yu-Peng Ma , Ming-Jian Gao , Jun-Hong An

We investigate in the framework of quantum noise theory how the striking boundary-sensitivity recently discovered in the context of non-Hermitian (NH) topological phases may be harnessed to devise novel quantum sensors. Specifically, we…

Quantum Physics · Physics 2022-02-15 Florian Koch , Jan Carl Budich

Non-Hermitian systems exhibit anomalous scaling, a striking departure from conventional bulk laws, rooted in the non-Hermitian skin effect (NHSE). Here, we experimentally uncover this scaling and demonstrate its active control in a temporal…

Optics · Physics 2026-03-30 Shulin Wang , Jiawei He , Zhiyuan Yang , Stefano Longhi , Peng Xue

The non-Hermitian skin effect, as a unique feature of non-Hermitian systems, will break the topological energy braiding of the Bloch bands in open boundary systems. Going beyond the Bloch band theory, we unveil the energy braiding of the…

Mesoscale and Nanoscale Physics · Physics 2023-10-20 Yang Li , Xiang Ji , Yuanping Chen , Xiaohong Yan , Xiaosen Yang

Topological insulators are insulating in the bulk but feature conducting states on their surfaces. Standard methods for probing their topological properties largely involve probing the surface, even though topological invariants are defined…

Light can mediate effective dipole-dipole interactions between atoms or quantum emitters coupled to a common environment. Exploiting them to tailor a desired effective Hamiltonian can have major applications and advance the search for…

Real-valued band structures are foundational to analyzing periodic systems within the Hermitian description and have been experimentally well-established over recent decades. In contrast, non-Hermitian systems exhibit complex band…

Quantum Physics · Physics 2025-10-24 Jia-Xin Zhong , Jing Lin , Kai Chen , Jing Lu , Kun Ding , Yun Jing

Despite its non-Hermitian nature, the transverse optical beam shift exhibits both real eigenvalues and non-orthogonal eigenstates. To explore this unexpected similarity to typical PT (parity-time)-symmetric systems, we first categorize the…

The non-Hermitian Hamiltonian describes the effective dynamics of a system coupled to a continuously measured bath, and can exhibit anti-unitary symmetries that give rise to exceptional points and broken phases with complex eigenvalues,…

Quantum Physics · Physics 2025-12-23 Sejal Ahuja , Keshav Das Agarwal , Aditi Sen De

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,…

Mesoscale and Nanoscale Physics · Physics 2021-12-17 Ming Lu , Xiao-Xiao Zhang , Marcel Franz

Photonic systems with parity-time (PT) symmetry and topology are attracting considerable attentions. In this work, topological near-zero edge states are studied in PT-symmetric photonic lattice and the results indicate that the near-zero…

Non-Hermitian band topology can give rise to phenomena with no counterparts in Hermitian systems. A well-known example is the non-Hermitian skin effect (NHSE), where Bloch eigenstates localize at a boundary, induced by a nontrivial spectrum…

Mesoscale and Nanoscale Physics · Physics 2025-08-28 Hong-Yu Zou , Bing-Bing Wang , Yong Ge , Ke-Qi Zhao , Yu-Qi Chen , Hong-Xiang Sun , Shou-Qi Yuan , Haoran Xue , Baile Zhang

Non-Hermitian matrices are ubiquitous in the description of nature ranging from classical dissipative systems, including optical, electrical, and mechanical metamaterials, to scattering of waves and open quantum many-body systems. Seminal…

Mesoscale and Nanoscale Physics · Physics 2024-07-08 Kang Yang , Zhi Li , J. Lukas K. König , Lukas Rødland , Marcus Stålhammar , Emil J. Bergholtz

Topological phases in spinless non-Hermitian models have been widely studied both theoretically and experimentally in some artificial materials using photonics, phononics and magnon. In this work, we investigate the interplay between…

Mesoscale and Nanoscale Physics · Physics 2019-04-23 Jia-Qi Cai , Qing-Yun Yang , Zheng-Yuan Xue , Ming Gong , Guang-Can Guo , Yong Hu

Temporal interfaces introduced by abrupt switching of the constitutive parameters of unbounded media enable unusual wave phenomena. So far, their explorations have been mostly limited to lossless media. Yet, non-Hermitian phenomena…

Optics · Physics 2021-10-08 Huanan Li , Shixiong Yin , Emanuele Galiffi , Andrea Alù

In multiparticle quantum interference, bosons show rather generally the tendency to bunch together, while fermions can not. This behavior, which is rooted in the different statistics of the particles, results in a higher coincidence rate…

Quantum Physics · Physics 2020-12-15 Stefano Longhi