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Wave localization is a fundamental phenomenon that appears universally in both natural materials and artificial structures and plays a crucial role in understanding the various physical properties of a system. Usually, a localized state has…

介观与纳米尺度物理 · 物理学 2024-07-09 Xinrong Xie , Gan Liang , Fei Ma , Yulin Du , Yiwei Peng , Erping Li , Hongsheng Chen , Linhu Li , Fei Gao , Haoran Xue

We report a novel mechanism of boundary-sensitive PT symmetry breaking in one-dimensional Floquet systems. By designing a time-periodic driving protocol, we realize a Floquet Hamiltonian that is Hermitian under periodic boundary conditions…

量子物理 · 物理学 2026-03-25 Bo Li , He-Ran Wang , Fei Song

The bulk states of Hermitian systems are believed insensitive to local Hermitian impurities or perturbations except for a few impurity-induced bound states. Thus, it is important to ask whether \textit{local} non-Hermiticity can cause…

量子物理 · 物理学 2023-05-02 Cui-Xian Guo , Xueliang Wang , Haiping Hu , Shu Chen

We demonstrate the emergence of an entire flat band embedded in dispersive bands at the exceptional point of a PT symmetric photonic lattice. For this to occur, the gain and loss parameter effectively alters the size of the partial flat…

光学 · 物理学 2017-07-12 Hamidreza Ramezani

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

The non-Hermitian edge burst is a phenomenon observed in non-Hermitian quantum dynamics, characterized by a significant accumulation of loss at the boundaries of a system. We present an example of the edge burst effect in a lossy lattice…

量子物理 · 物理学 2025-06-11 G. Sen , C. Yuce

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

Recently, open systems with balanced, spatially separated loss and gain have been realized and studied using non-Hermitian Hamiltonians that are invariant under the combined parity and time-reversal ($\mathcal{PT}$) operations. Here, we…

量子物理 · 物理学 2013-09-10 Harsha Vemuri , Yogesh N. Joglekar

Non-Hermitian systems show a non-Hermitian skin effect, where the bulk states are localized at a boundary of the systems with open boundary conditions. In this paper, we study dependence of the localization length of the eigenstates on a…

介观与纳米尺度物理 · 物理学 2021-10-13 Kazuki Yokomizo , Shuichi Murakami

In this paper we introduce Parity-Time ($\cal PT$) symmetric perturbation to a one-dimensional Lieb lattice, which is otherwise $\cal P$-symmetric and has a flat band. In the flat band there are a multitude of degenerate dark states, and…

光学 · 物理学 2016-01-25 Li Ge

The phenomenon of PT (parity- and time-reversal) symmetry breaking is conventionally associated with a change in the complex mode spectrum of a non-Hermitian system that marks a transition from a purely oscillatory to an exponentially…

PT-symmetric systems can have a real spectrum even when their Hamiltonian is non-hermitian, but develop a complex spectrum when the degree of non-hermiticity increases. Here we utilize random-matrix theory to show that this spontaneous…

量子物理 · 物理学 2011-06-24 Henning Schomerus

We investigate localization-delocalization transition in one-dimensional non-Hermitian quasiperiodic lattices with exponential short-range hopping, which possess parity-time ($\mathcal{PT}$) symmetry. The localization transition induced by…

无序系统与神经网络 · 物理学 2020-05-27 Yanxia Liu , Xiang-Ping Jiang , Junpeng Cao , Shu Chen

This work develops a full framework for non-Hermitian impurity physics in a non-reciprocal lattice, with PBCs, OBCs and even their interpolations being special cases across a whole range of boundary impurity strengths. As the impurity…

介观与纳米尺度物理 · 物理学 2021-03-09 Linhu Li , Ching Hua Lee , Jiangbin Gong

The occurrence of parity-time reversal ($\mathcal{PT}$) symmetry breaking is discussed in a non-Hermitian spin chain. The Hermiticity of the model is broken by the presence of an alternating, imaginary, transverse magnetic field. A full…

量子物理 · 物理学 2010-08-25 Gian Luca Giorgi

We investigate the spontaneous parity-time (PT )-symmetry breaking and spectral properties of a PT symmetric quantum kicked rotor under resonance conditions. At resonance, the QKR reduces to a finite-dimensional system. In the localized…

量子物理 · 物理学 2025-04-10 Guang Li , Fuxing Chen , Ping Fang

Anderson localization and non-Hermitian skin effect are two paradigmatic wave localization phenomena, resulting from wave interference and the intrinsic non-Hermitian point gap, respectively. In this study, we unveil a novel localization…

介观与纳米尺度物理 · 物理学 2024-10-25 Cui-Xian Guo , Luhong Su , Yongliang Wang , Li Li , Jinzhe Wang , Xinhui Ruan , Yanjing Du , Dongning Zheng , Shu Chen , Haiping Hu

We investigate the parity- and time-reversal ($\mathcal{PT}$)-symmetry breaking in lattice models in the presence of long-ranged, non-hermitian, $\mathcal{PT}$-symmetric potentials that remain finite or become divergent in the continuum…

量子物理 · 物理学 2014-09-19 Yogesh N. Joglekar , Derek D. Scott , Avadh Saxena

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)…

介观与纳米尺度物理 · 物理学 2023-08-31 Zhi-Yuan Wang , Jian-Song Hong , Xiong-Jun Liu

Understanding how local potentials affect system eigenmodes is crucial for experimental studies of nontrivial bulk topology. Recent studies have discovered many exotic and highly non-trivial topological states in non-Hermitian systems. As…

无序系统与神经网络 · 物理学 2019-06-13 Ya-Jie Wu , Junpeng Hou
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