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Non-Hermitian systems with globally reciprocal couplings -- such as the Hatano-Nelson model with stochastic imaginary gauge fields -- avoid the conventional non-Hermitian skin effect, displaying erratic bulk localization while retaining…

量子物理 · 物理学 2026-04-08 Stefano Longhi

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

To characterize the generic behavior of open quantum systems, we consider random, purely dissipative Liouvillians with a notion of locality. We find that the positivity of the map implies a sharp separation of the relaxation timescales…

强关联电子 · 物理学 2020-03-18 Kevin Wang , Francesco Piazza , David J. Luitz

We study the Loschmidt echo (LE) of a coupled system consisting of a central spin and its surrounding environment described by a general XY spin-chain model. The quantum dynamics of the LE is shown to be remarkably influenced by the quantum…

量子物理 · 物理学 2015-06-26 Zi-Gang Yuan , Ping Zhang , Shu-Shen Li

We identify and investigate two classes of non-Hermitian systems, i.e., one resulting from Lorentz-symmetry violation (LSV) and the other from a complex mass (CM) with Lorentz invariance, from the perspective of quantum field theory. The…

介观与纳米尺度物理 · 物理学 2019-08-21 Zi-Yong Ge , Yu-Ran Zhang , Tao Liu , Si-Wen Li , Heng Fan , Franco Nori

We propose two easy-to-study observables in the quantum Ising chain with open boundary conditions. They measure the length at which boundaries affect the longitudinal or transverse magnetization. We show that their finite-size scaling…

统计力学 · 物理学 2018-10-03 Oskar A. Prośniak

As branch-point singularities of non-Hermitian matrices, the exceptional points (EPs) exhibit unique spectral topology and criticality, with intriguing dynamic consequences in non-Hermitian settings. In open quantum systems, EPs also emerge…

介观与纳米尺度物理 · 物理学 2025-08-11 Huixia Gao , Konghao Sun , Dengke Qu , Kunkun Wang , Lei Xiao , Wei Yi , Peng Xue

We study electron correlation effects on quantum criticalities of Lifshitz transitions at zero temperature, using the mean-field theory based on a preexisting symmetry-broken order, in two-dimensional systems. In the presence of…

强关联电子 · 物理学 2007-05-23 Youhei Yamaji , Takahiro Misawa , Masatoshi Imada

We discuss a combination of unitary and anti-unitary symmetry of quantum Liouvillian dynamics, in the context of open quantum systems, which implies a D2 symmetry of the complex Liovillean spectrum. For sufficiently weak system-bath…

量子物理 · 物理学 2012-08-31 Tomaz Prosen

The effect of bulk dissipation on non critical sandpile models is studied using both multifractal and finite size scaling analyses. We show numerically that the local limited (LL) model exhibits a crossover from multifractal to self-similar…

统计力学 · 物理学 2007-05-23 A. Benyoussef , M. Khfifi , M. Loulidi

A quantum many-body system subject to unitary evolution and repeated local measurements with an increasing rate undergoes a measurement-induced entanglement transition from extensive (or subextensive) to area law entropy scaling. We find…

量子物理 · 物理学 2024-07-04 Yu-Peng Wang , Chen Fang , Jie Ren

Multimode nonlinear optical systems are highly valued for their ability to withstand large amounts of optical power, transmit data with high bandwidth, perform physical computations, generate quantum correlations, and much more. For many of…

量子物理 · 物理学 2025-03-17 Jamison Sloan , Sachin Vaidya , Nicholas Rivera , Marin Soljačić

Non-Hermitian quantum systems, characterized by their ability to model open systems with gain and loss, have unveiled striking phenomena such as the non-Hermitian skin effect (NHSE), where eigenstates localize at boundaries under open…

强关联电子 · 物理学 2026-01-06 Chakradhar Rangi , Juana Moreno , Ka-Ming Tam

The non-Hermitian skin effect, nonreciprocity-induced anomalous localization of an extensive number of eigenstates, represents a hallmark of non-Hermitian topological systems with no analogs in Hermitian systems. Despite its significance…

介观与纳米尺度物理 · 物理学 2025-09-22 Kohei Kawabata , Daichi Nakamura

In this study, we explore the quantum critical phenomena in generalized Aubry-Andr\'{e} models, with a particular focus on the scaling behavior at various filling states. Our approach involves using quantum fidelity susceptibility to…

量子物理 · 物理学 2024-05-24 Yu-Bin Liu , Wen-Yi Zhang , Tian-Cheng Yi , Liangsheng Li , Maoxin Liu , Wen-Long You

Non-Hermitian skin effect (NHSE) is a unique phenomenon studied intensively in non-Hermitian systems during the past few years. In this work, we discuss the energy dependence of NHSE by introducing nonreciprocity beyond the…

介观与纳米尺度物理 · 物理学 2022-12-16 Qi-Bo Zeng

We study the applicability of the Liouvillian exceptional points (LEPs) approach to nanoscale open quantum systems. A generic model of the driven two-level system in a thermal environment is analyzed within the nonequilibrium Green's…

量子物理 · 物理学 2024-02-26 Nikhil Seshadri , Anqi Li , Michael Galperin

Quantum devices characterized by non-Hermitian topology are predicted to show highly robust and potentially useful properties, but realizing them has remained a daunting experimental task. This is because non-Hermiticity is often associated…

Long-range effects induce some interesting behavior and considered as a gateway to understand the non-local behavior in the quantum systems. Especially, the long-range topological models became a platform for the realization of new…

强关联电子 · 物理学 2022-11-11 Y R Kartik , Sujit Sarkar

Universality and scaling laws are hallmarks of equilibrium phase transitions and critical phenomena. However, extending these concepts to non-equilibrium systems is an outstanding challenge. Despite recent progress in the study of dynamical…