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We consider a 3-dimensional (3D) non-Hermitian exceptional line semimetal model and take open boundary conditions in x, y, and z directions separately. In each case, we calculate the parameter regions where the bulk-boundary correspondence…

介观与纳米尺度物理 · 物理学 2020-10-22 Zhicheng Zhang , Zhesen Yang , Jiangping Hu

The non-Hermitian skin effect can arise in materials that have asymmetric hoppings between atoms or resonating units, which makes the bulk eigenspectrum sensitive to boundary conditions. When skin effect emerges, eigenstates in the bulk…

介观与纳米尺度物理 · 物理学 2022-02-21 Yi-Xin Xiao , C. T. Chan

We present an application of the Extended Stochastic Liouville-von Neumann equations (ESLN) method introduced earlier [PRB 95, 125124 (2017); PRB 97, 224310 (2018)] which describes the dynamics of an exactly thermalised open quantum system…

量子物理 · 物理学 2020-07-01 M. A. Lane , D. Matos , I. J. Ford , L. Kantorovich

Non-Hermitian Hamiltonians are generally sensitive to boundary conditions, and their spectra and wave functions under open boundary conditions are not necessarily predicted by the Bloch band theory for periodic boundary conditions. To…

介观与纳米尺度物理 · 物理学 2020-06-01 Kohei Kawabata , Nobuyuki Okuma , Masatoshi Sato

We investigate the roles of non-Hermitian topology in spectral properties and entanglement structures of open systems. In terms of spectral theory, we give a unified understanding of two interpretations of non-Hermitian topology: quantum…

介观与纳米尺度物理 · 物理学 2021-02-24 Nobuyuki Okuma , Masatoshi Sato

We treat several key stochastic equations for non-Markovian open quantum system dynamics and present a formalism for finding solutions to them via canonical perturbation theory, without making the Born-Markov or rotating wave approximations…

量子物理 · 物理学 2012-02-06 C. H. Fleming , B. L. Hu

Typically, scaling up the size of a system does not change the shape of its energy spectrum, other than making it denser. Exceptions, however, occur in the new phenomenon of non-Hermitian skin criticality, where closely competing…

无序系统与神经网络 · 物理学 2025-11-18 Xiaoyu Cheng , Hui Jiang , Jun Chen , Lei Zhang , Yee Sin Ang , Ching Hua Lee

We present a general theory of non-Markovian dynamics for open quantum systems. We explore the non-Markovian dynamics by connecting the exact master equations with the non-equilibirum Green functions. Environmental back-actions are fully…

量子物理 · 物理学 2013-05-30 Wei-Min Zhang , Ping-Yuan Lo , Heng-Na Xiong , Matisse Wei-Yuan Tu , Franco Nori

The emergence of the non-Hermitian skin effect, distinguished by the exponential localization of bulk states onto boundaries in open systems, has redefined the conventional band theory. It can be established through the generalized…

其他凝聚态物理 · 物理学 2026-05-19 Jiuchun Meng , Lichao Sun , Xiumei Wang , Dandan Zhu , Xingping Zhou

We study a topological phase in the dissipative Kitaev chain described by the Markovian quantum master equation. Based on the correspondence between Lindbladians, which generate the dissipative time-evolution, and non-Hermitian matrices,…

介观与纳米尺度物理 · 物理学 2023-06-21 Makio Kawasaki , Hideaki Obuse

The synergy of non-Hermitian and topology renders the bulk-boundary correspondence (BBC) even more elusive. Here we study a non-Hermitian Creutz ladder that incorporates both gain-loss and nonreciprocity, and construct multiple BBCs…

量子物理 · 物理学 2026-05-11 Xin Li , TongYi Li , JingYu Peng , Yu Wang

Physically, one tends to think of non-Hermitian systems in terms of gain and loss: the decay or amplification of a mode is given by the imaginary part of its energy. Here, we introduce an alternative avenue to the realm of non-Hermitian…

介观与纳米尺度物理 · 物理学 2022-08-22 S. Franca , V. Könye , F. Hassler , J. van den Brink , I. C. Fulga

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

For decades, Hermiticity was considered an immutable axiom of quantum mechanics, essential for ensuring real energies and unitary evolution. This perspective has shifted radically, driven by the realization that non-Hermitian Hamiltonians…

量子物理 · 物理学 2026-03-17 Federico Roccati , Federico Balducci

The dynamics of a typical open quantum system, namely a quantum Brownian particle in a harmonic potential, is studied focussing on its non-Markovian regime. Both an analytic approach and a stochastic wave function approach are used to…

量子物理 · 物理学 2009-11-10 S. Maniscalco , J. Piilo , F. Intravaia , F. Petruccione , A. Messina

Non-Hermitian physics predicts open quantum system dynamics with unique topological features such as exceptional points and the non-Hermitian skin effect. We show that this new paradigm of topological systems can serve as probes for bulk…

量子物理 · 物理学 2024-08-28 Saubhik Sarkar , Francesco Ciccarello , Angelo Carollo , Abolfazl Bayat

This work comprehensively investigates the non-Hermitian skin effect (NHSE) in a spinless Bernevig- Hughes-Zhang (BHZ)-like model in one dimension. It is generally believed that a system with non-reciprocal hopping amplitudes demonstrates…

介观与纳米尺度物理 · 物理学 2024-05-24 Dipendu Halder , Saurabh Basu

We study non-Bloch bulk-boundary correspondence in a non-Hermitian Su-Schieffer-Heeger model in a domain-wall configuration where the left and right bulks have different parameters. Focusing on the case where chiral symmetry is still…

量子气体 · 物理学 2019-07-10 Tian-Shu Deng , Wei Yi

Bulk-boundary correspondences (BBCs) remain the central topic in modern condensed matter physics, and are gaining increasing interests with the recent discovery of non-Hermitian skin effects. However, there still exist profound features of…

量子气体 · 物理学 2024-07-12 Huan-Yu Wang , Zhen-Biao Yang , Wu-Ming Liu

Non-Hermitian skin effect (NHSE) is a distinctive phenomenon in non-Hermitian systems, characterized by a significant accumulation of eigenstates at system boundaries. While well-understood in one dimension via non-Bloch band theory,…

介观与纳米尺度物理 · 物理学 2024-07-02 Yuncheng Xiong , Ze-Yu Xing , Haiping Hu