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The parity-time (PT) symmetry of a non-Hermitian Hamiltonian leads to real (complex) energy spectrum when the non-Hermiticity is below (above) a threshold. Recently, it has been demonstrated that the non-Hermitian skin effect generates a…

量子物理 · 物理学 2024-02-02 Yu-Min Hu , Hong-Yi Wang , Zhong Wang , Fei Song

The exotic physics emerging in non-Hermitian systems with balanced distributions of gain and loss has drawn a great deal of attention in recent years. These systems exhibit phase transitions and exceptional point singularities in their…

光学 · 物理学 2021-03-17 Arik Bergman , Robert Duggan , Kavita Sharma , Moshe Tur , Avi Zadok , Andrea Alu

Non-Hermitian systems with parity-time (PT) symmetric complex potentials can exhibit a phase transition when the degree of non-Hermiticity is increased. Two eigenstates coalesce at a transition point, which is known as the exceptional point…

光学 · 物理学 2016-01-07 Kun Ding , Z. Q. Zhang , C. T. Chan

Non-Hermitian systems can exhibit extraordinary boundary behaviors, known as the non-Hermitian skin effects, where all the eigenstates are localized exponentially at one side of lattice model. To give a full understanding and control of…

量子物理 · 物理学 2023-05-02 Xintong Zhang , Xiaoxiao Song , Shubo Zhang , Tengfei Zhang , Yuanjie Liao , Xinyi Cai , Jing Li

The physics of systems that cannot be described by a Hermitian Hamiltonian, has been attracting a great deal of attention in recent years, motivated by their nontrivial responses and by a plethora of applications for sensing, lasing, energy…

光学 · 物理学 2021-03-16 Alex Krasnok , Nikita Nefedkin , Andrea Alu

One of the most pronounced non-Hermitian phenomena is the non-Hermitian skin effect, which refers to the exponential localization of bulk eigenstates near the boundaries of non-Hermitian systems. Whereas non-Bloch band theory has been…

介观与纳米尺度物理 · 物理学 2024-11-27 Yu-Min Hu , Yin-Quan Huang , Wen-Tan Xue , Zhong Wang

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…

量子物理 · 物理学 2023-01-10 Ievgen I. Arkhipov , Fabrizio Minganti

Exceptional points, at which two or more eigenfunctions of a Hamiltonian coalesce, occur in non-Hermitian systems and lead to surprising physical effects. In particular, the behaviour of a system under parameter variation can differ…

量子物理 · 物理学 2019-12-04 Bradley Longstaff , Eva-Maria Graefe

Symmetry and its representation play a crucial role in topological phases, including both Hermitian and non-Hermitian paradigms. In the presence of synthetic gauge field, spatial symmetries should be projectively represented, which can…

介观与纳米尺度物理 · 物理学 2026-01-13 Pengtao Lai , Xiangru Chen , Yugan Tang , Yejian Hu , Zhenhang Pu , Hui Liu , Weiyin Deng , Hua Cheng , Zhengyou Liu , Shuqi Chen

A hallmark of topological band theory in periodic media is that bulk properties are not affected by boundary conditions. Remarkably, in certain non-Hermitian lattices the bulk properties are largely affected by boundaries, leading to such…

光学 · 物理学 2020-12-15 Stefano Longhi

We study symmetries of open bosonic systems in the presence of laser pumping. Non-Hermitian Hamiltonians describing these systems can be parity-time (${\cal{PT}}$) symmetric in special cases only. Systems exhibiting this symmetry are…

Recently developed parity (P) and time-reversal (T) symmetric non-Hermitian systems govern a rich variety of new and characteristically distinct physical properties, which may or may not have a direct analog in their Hermitian counterparts.…

超导电性 · 物理学 2018-01-24 Ananya Ghatak , Tanmoy Das

Non-Hermiticity significantly enriches the properties of topological models, leading to exotic features such as the non-Hermitian skin effects and non-Bloch bulk-boundary correspondence that have no counterparts in Hermitian settings. Its…

介观与纳米尺度物理 · 物理学 2022-10-19 Quan Lin , Tianyu Li , Lei Xiao , Kunkun Wang , Wei Yi , Peng Xue

Non-Hermitian Hamiltonians enrich quantum physics by extending conventional phase diagrams, enabling novel topological phenomena, and realizing exceptional points with potential applications in quantum sensing. Here, we present an…

In some non-Hermitian systems, the eigenstates in the bulk are localized at the boundaries of the systems. This is called the non-Hermitian skin effect, and it has been studied mostly in discrete systems. In the present work, we study the…

介观与纳米尺度物理 · 物理学 2022-05-09 Kazuki Yokomizo , Taiki Yoda , Shuichi Murakami

Non-Hermitian topological phases, which exhibit unique features such as skin effect and exceptional points originated from nontrivial band topologies in complex plane, have attracted enormous attention in condensed-matter physics and…

介观与纳米尺度物理 · 物理学 2024-07-08 Yejian Hu , Jien Wu , Peidong Ye , Weiyin Deng , Jiuyang Lu , Xueqin Huang , Ziyu Wang , Manzhu Ke , Zhengyou Liu

We study the quench dynamics of non-Hermitian topological models with non-Hermitian skin effects. Adopting the non-Bloch band theory and projecting quench dynamics onto the generalized Brillouin zone, we find that emergent topological…

量子气体 · 物理学 2021-04-09 Tianyu Li , Jia-Zheng Sun , Yong-Sheng Zhang , Wei Yi

Non-Hermitian systems with parity-time symmetry have been developed rapidly and hold great promise for future applications. Unlike most existing works considering the symmetry of the free energy terms (e.g., gain-loss system), in this…

量子物理 · 物理学 2017-11-21 Wenlin Li , Chong Li , Heshan Song

The non-Hermitian skin effect is nonreciprocity-induced localization phenomena in which a macroscopic number of eigenstates accumulate anomalously at the boundary, accompanied by the extreme sensitivity to boundary conditions. Here, we…

介观与纳米尺度物理 · 物理学 2026-04-14 Ken-Ichiro Imura , Kohei Kawabata

In the presence of non-Hermitian skin effect, non-Hermitian lattices generally have complex-valued eigenenergies under periodic boundary condition, but they can have non-Bloch PT symmetry and therefore completely real eigenenergies under…

介观与纳米尺度物理 · 物理学 2022-10-03 Fei Song , Hong-Yi Wang , Zhong Wang
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