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We investigate the interplay of superradiant phase transition (SPT) and energy band physics in an extended Dicke-Hubbard lattice whose unit cell consists of a Dicke model coupled to an atomless cavity. We found in such a periodic lattice…

量子物理 · 物理学 2020-09-30 Gui-Lei Zhu , Hamidreza Ramezani , Clive Emary , Jin-Hua Gao , Ying Wu , Xin-You Lü

We study a Lindbladian generalization of the Anderson model of localization that describes disordered free fermions coupled to a disordered environment. From finite size scaling of both eigenvalue statistics and participation ratio, we…

无序系统与神经网络 · 物理学 2025-01-30 Foster Thompson , Yi Huang , Alex Kamenev

The localization is one of the active and fundamental research in topology physics. Based on a generalized Su-Schrieffer-Heeger model with the quasiperiodic non-Hermitian emerging at the off-diagonal location, we propose a novel systematic…

量子物理 · 物理学 2022-07-04 Gang-Feng Guo , Xi-Xi Bao , Lei Tan

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

Non-Hermitian (NH) Hamiltonians can be used to describe dissipative systems, and are currently intensively studied in the context of topology. A salient difference between Hermitian and NH models is the breakdown of the conventional…

介观与纳米尺度物理 · 物理学 2020-10-14 Elisabet Edvardsson , Flore K. Kunst , Tsuneya Yoshida , Emil J. Bergholtz

We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner by constructing an appropriate open quantum system. We focus on the quantum steady states of such…

量子物理 · 物理学 2022-02-21 Alexander McDonald , Ryo Hanai , Aashish A. Clerk

We study a one dimensional nonequilibrium lattice model with competing features of particle attraction and non-local hops. The system is similar to a zero range process (ZRP) with attractive particles but the particles can make both local…

统计力学 · 物理学 2015-05-14 Apoorva Nagar

The process of dephasing during wave evolution has traditionally been viewed as an obstacle to localization, leading to diffusion even in strongly disordered Hermitian lattices. In contrast, here we demonstrate how the interplay of…

无序系统与神经网络 · 物理学 2026-01-27 Emmanouil T. Kokkinakis , Konstantinos G. Makris , Eleftherios N. Economou

Quasiperiodic mosaic systems with the quasiperiodic potential being added periodically with a fixed lattice interval have attracted significant attention due to their peculiar spectral properties with exactly known mobility edges, which…

无序系统与神经网络 · 物理学 2025-01-08 Yu Zhang , Chenguang Liang , Shu Chen

We investigate the non-Hermitian Haldane model on hyperbolic $\{8, 3\}$ and $\{12, 3\}$ lattices, and showcase its intriguing topological properties in the simultaneous presence of non-Hermitian effect and hyperbolic geometry. From bulk…

介观与纳米尺度物理 · 物理学 2023-12-27 Junsong Sun , Chang-An Li , Shiping Feng , Huaiming Guo

In this paper, we study the critical behaviors in the non-Hermitian disorder Aubry-Andr\'{e} (DAA) model, and we assume the non-Hermiticity is introduced by nonreciprocal hopping. We employ the localization length $\xi$, the inverse…

无序系统与神经网络 · 物理学 2024-11-21 Yue-Mei Sun , Xin-Yu Wang , Liang-Jun Zhai

It has recently been established that open quantum systems may exhibit a strong spectral sensitivity to boundary conditions, known as the non-Hermitian/Liouvillian skin effect (NHSE/LSE), making the topological properties of the system…

统计力学 · 物理学 2025-04-15 Pablo Bayona-Pena , Ryo Hanai , Takashi Mori , Hisao Hayakawa

The traditional bulk-boundary correspondence assuring robust gapless modes at the edges and surfaces of insulating and nodal topological materials gets masked in non-Hermitian (NH) systems by the skin effect, manifesting an accumulation of…

介观与纳米尺度物理 · 物理学 2022-07-14 Archisman Panigrahi , Roderich Moessner , Bitan Roy

The dynamics of open quantum systems is determined by avoided and true crossings of eigenvalue trajectories of a non-Hermitian Hamiltonian. The phases of the eigenfunctions are not rigid so that environmentally induced spectroscopic…

量子物理 · 物理学 2009-09-28 Ingrid Rotter

Within the framework of non-Hermitian photonics, we investigate the spectral and dynamical properties of one- and two-dimensional non-Hermitian off-diagonal disordered optical lattices, where randomness is applied to the couplings rather…

无序系统与神经网络 · 物理学 2026-05-28 E. T. Kokkinakis , I. Komis , K. G. Makris , E. N. Economou

We investigate the localization behavior of electrons in a random lattice which is constructed from a quasi-one-dimensional chain with large coordinate number $Z$ and rewired bonds, resembling the small-world network proposed recently but…

无序系统与神经网络 · 物理学 2009-10-31 Chen-Ping Zhu , Shi-Jie Xiong

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

In two dimensions, Hermitian lattices with non-zero Chern numbers and non-Hermitian lattices with a higher-order skin effect (HOSE) bypass the constraints of the Nielsen-Ninomiya no-go theorem at their one-dimensional boundaries. This…

介观与纳米尺度物理 · 物理学 2025-05-22 Yifan Wang , Wladimir A. Benalcazar

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

Anderson localization is a phase transition between a metallic phase, where wavefunctions are extended and delocalized in space, and an insulating phase, where wavefunctions are completely localized. These transitions are driven by…

无序系统与神经网络 · 物理学 2026-01-30 Pasquale Marra
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