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相关论文: Non-Hermitian Maryland Model

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Non-Hermitian effects could trigger spectrum, localization and topological phase transitions in quasiperiodic lattices. We propose a non-Hermitian extension of the Maryland model, which forms a paradigm in the study of localization and…

量子物理 · 物理学 2022-01-13 Longwen Zhou , Yongjian Gu

We introduce the non-Hermitian mosaic Maryland model, where a discrete modulation period and a non-Hermitian phase are incorporated into the potential, rendering the originally exactly solvable system generally non-integrable. This model…

无序系统与神经网络 · 物理学 2026-03-27 Zhenning Wang , Ni Lu , Dan Liu , Xiaosen Yang , Xianqi Tong

The discovery of topological phases in non-Hermitian open classical and quantum systems challenges our current understanding of topological order. Non-Hermitian systems exhibit unique features with no counterparts in topological Hermitian…

介观与纳米尺度物理 · 物理学 2019-06-26 Stefano Longhi

Critical phase transitions contain a variety of deep and universal physics, and are intimately tied to thermodynamic quantities through scaling relations. Yet, these notions are challenged in the context of non-Hermiticity, where spatial or…

统计力学 · 物理学 2021-01-06 R. Arouca , C. H. Lee , C. Morais Smith

Non-Hermitian quasicrystal forms a unique class of matter with symmetry-breaking, localization and topological transitions induced by gain and loss or nonreciprocal effects. In this work, we introduce a non-Abelian generalization of the…

量子物理 · 物理学 2024-02-23 Longwen Zhou

Quantum phase transitions are usually studied in terms of Hermitian Hamiltonians. However, cold-atom experiments are intrinsically non-Hermitian due to spontaneous decay. Here, we show that non-Hermitian systems exhibit quantum phase…

量子气体 · 物理学 2014-10-08 Tony E. Lee , Ching-Kit Chan

We study the effects of non-hermitian perturbation on a quantum kicked model exhibiting a localization transition. Using an exact renormalization scheme, we show that the critical line separating the extended and localized phases approaches…

无序系统与神经网络 · 物理学 2009-11-07 Indubala I satija , Arjendu Pattanayak

We provide approximate solutions for the mobility edge (ME) that demarcates localized and extended states within a specific class of one-dimensional non-Hermitian (NH) quasicrystals. These NH quasicrystals exhibit a combination of…

无序系统与神经网络 · 物理学 2025-02-14 Xiang-Ping Jiang , Mingdi Xu , Lei Pan

Non-Hermiticity appears ubiquitously in various open classical and quantum systems and enriches classification of topological phases. However, the role of nonsymmorphic symmetry, crystalline symmetry accompanying fractional lattice…

介观与纳米尺度物理 · 物理学 2025-04-30 Daichi Nakamura , Yutaro Tanaka , Ken Shiozaki , Kohei Kawabata

One-dimensional non-Hermitian quasicrystals with parity and time-reversal (PT) symmetry can simultaneously exhibit localization-delocalization transition, topological phase transition, and PT-symmetry-breaking transition. This motivates…

无序系统与神经网络 · 物理学 2026-05-26 Guangjie Zhang , Bing Shao , Longwen Zhou , Jiangbin Gong , Weiwei Zhu

Disorder and coherence jointly govern wave transport in complex media. In Hermitian systems, a long-established paradigm since Anderson's work holds that disorder-induced localization relies on phase-coherent interference, and that the loss…

光学 · 物理学 2026-04-07 Yudong Ren , Rui Zhao , Kangpeng Ye , Lu Zhang , Hongsheng Chen , Haoran Xue , Yihao Yang

Non-interacting particles in non-Hermitian quasi crystals display localization-delocalization and spectral phase transitions in complex energy plane, that can be characterized by point-gap topology. Here we investigate the spectral and…

量子物理 · 物理学 2025-04-10 Stefano Longhi

Recent research has made significant progress in understanding localization transitions and mobility edges (MEs) that separate extended and localized states in non-Hermitian (NH) quasicrystals. Here we focus on studying critical states and…

无序系统与神经网络 · 物理学 2024-09-06 Xiang-Ping Jiang , Weilei Zeng , Yayun Hu , Lei Pan

We show that non-Hermitian dynamics generate substantial entanglement in many-body systems. We consider the non-Hermitian Lipkin-Meshkov-Glick model and show that its phase transition occurs with maximum multiparticle entanglement: there is…

量子气体 · 物理学 2014-12-19 Tony E. Lee , Florentin Reiter , Nimrod Moiseyev

As a hallmark of pure quantum effect, quantum entanglement has provided unconventional routes to condensed matter systems. Here, from the perspective of quantum entanglement, we disclose exotic quantum physics in non-Hermitian…

介观与纳米尺度物理 · 物理学 2022-03-30 Li-Mei Chen , Yao Zhou , Shuai A. Chen , Peng Ye

Non-Hermitian quantum systems exhibit fascinating characteristics such as non-Hermitian topological phenomena and skin effect, yet their studies are limited by the intrinsic difficulties associated with their eigenvalue problems, especially…

介观与纳米尺度物理 · 物理学 2024-01-23 Guang Yang , Yongkang Li , Yongxu Fu , Zhenduo Wang , Yi Zhang

Non-Hermitian quasicrystals possess PT and metal-insulator transitions induced by gain and loss or nonreciprocal effects. In this work, we uncover the nature of localization transitions in a generalized Aubry-Andre-Harper model with…

无序系统与神经网络 · 物理学 2021-08-20 Longwen Zhou , Wenqian Han

The correspondence between the real-complex transition in energy and delocalization-localization transition is well-established in a class of Aubry-Andr'e-Harper model with exponential non-Hermitian on-site potentials. In this paper, we…

无序系统与神经网络 · 物理学 2022-11-02 Wen Chen , Shujie Cheng , Ji Lin , Reza Asgari , Gao Xianlong

In non-Hermitian quasicrystals, mobility edges (ME) separating localized and extended states in complex energy plane can arise as a result of non-Hermitian terms in the Hamiltonian. Such ME are of topological nature, i.e. the energies of…

量子物理 · 物理学 2022-07-26 Stefano Longhi

The interplay of topology, disorder, and non-Hermiticity gives rise to phenomena beyond the conventional classification of quantum phases. We propose a one-dimensional non-Hermitian Su-Schrieffer-Heeger model with quasiperiodically…

无序系统与神经网络 · 物理学 2026-05-14 Qi-Bo Zeng , Rong Lü
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