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We conduct a numerical study of wave localization in disordered three-dimensional non-Hermitian systems featuring exceptional points. The energy spectrum of a disordered non-Hermitian Hamiltonian, exhibiting both parity-time and…

无序系统与神经网络 · 物理学 2025-09-30 C. Wang , X. R. Wang

Exceptional points, at which two or more eigenfunctions of a Hamiltonian coalesce, occur in non-Hermitian systems and lead to surprising physical effects. In particular, the behaviour of a system under parameter variation can differ…

量子物理 · 物理学 2019-12-04 Bradley Longstaff , Eva-Maria Graefe

The entanglement properties of the phase transition in a two dimensional harmonic lattice, similar to the one observed in recent ion trap experiments, are discussed both, for finite number of particles and thermodynamical limit. We show…

量子物理 · 物理学 2015-05-13 Elisabeth Rieper , Janet Anders , Vlatko Vedral

Recently discovered measurement-induced entanglement phase transitions in monitored quantum circuits provide a novel example of far-from-equilibrium quantum criticality. Here, we propose a highly efficient strategy for experimentally…

量子物理 · 物理学 2023-07-24 Ali G. Moghaddam , Kim Pöyhönen , Teemu Ojanen

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

A hidden state in which a spin does not interact with any other spin contributes to the entropy of an interacting spin system. Using the Ginzburg-Landau formalism in the mean-field limit, we explore the $q$-state Potts model with extra $r$…

统计力学 · 物理学 2024-01-17 Cook Hyun Kim , D. -S. Lee , B. Kahng

We demonstrate three types of transformations that establish connections between Hermitian and non-Hermitian quantum systems at criticality, which can be described by conformal field theories (CFTs). For the transformation preserving both…

强关联电子 · 物理学 2023-08-01 Chang-Tse Hsieh , Po-Yao Chang

In contrast to classical systems, actual implementation of non-Hermitian Hamiltonian dynamics for quantum systems is a challenge because the processes of energy gain and dissipation are based on the underlying Hermitian system-environment…

量子物理 · 物理学 2020-10-23 R. Grimaudo , A. Messina , A. Sergi , N. V. Vitanov , S. N. Filippov

Cluster states were introduced in the context of measurement based quantum computing. In one dimension, the cluster Hamiltonian possesses topologically protected states. We investigate the Floquet dynamics of the cluster spin chain in an…

量子物理 · 物理学 2023-02-10 Alberto D. Verga

Quantum phase transitions also occur in non-Hermitian systems. In this work we show that density functional theory, for the first time, uncovers universal behaviors for phase transitions in non-Hermitian many-body systems. To be specific,…

量子物理 · 物理学 2017-08-10 Bo-Bo Wei , Liang Jin

Quantum Ising model in one dimension is an exactly solvable example of a quantum phase transition. We investigate its behavior during a quench from a paramagnetic to ferromagnetic phase caused by a gradual turning off of the transverse…

强关联电子 · 物理学 2008-11-26 Lukasz Cincio , Jacek Dziarmaga , Marek M. Rams , Wojciech H. Zurek

Measurements can qualitatively alter correlations and entanglement emerging in gapless quantum matter. We show how a single round of measurements on gapless quantum systems can, upon rotating the measurement basis, induce non-trivial…

量子物理 · 物理学 2025-09-15 Yue Liu , Sara Murciano , David F. Mross , Jason Alicea

We study the dynamics of entanglement in the scaling limit of the Ising spin chain in the presence of both a longitudinal and a transverse field. We present analytical results for the quench of the longitudinal field in critical transverse…

Originating from the Hamiltonian of a single qubit system, the phenomenon of the avoided level crossing is ubiquitous in multiple branches of physics, including the Landau-Zener transition in atomic, molecular and optical physics, the band…

量子物理 · 物理学 2022-10-05 Xingrui Song , Kater Murch

The intensely studied measurement-induced entanglement phase transition has become a hallmark of non-unitary quantum many-body dynamics. Usually, such a transition only shows up at the level of each individual quantum trajectory, and is…

统计力学 · 物理学 2023-07-26 Vikram Ravindranath , Yiqiu Han , Zhi-Cheng Yang , Xiao Chen

Recent experimental advancements in dissipation control have yielded significant insights into non-hermitian Hamiltonians for open quantum systems. Of particular interest are the topological characteristics exhibited by these non-hermitian…

介观与纳米尺度物理 · 物理学 2025-11-06 David Christian Ohnmacht , Valentin Wilhelm , Hannes Weisbrich , Wolfgang Belzig

Phase transitions are fundamental in nature. A small parameter change near a critical point leads to a qualitative change in system properties. Across a regular phase transition, the system remains in thermal equilibrium and, therefore,…

We study the entanglement dynamics of quantum many-body systems and prove the following: (I) For any geometrically local Hamiltonian on a lattice, starting from a random product state the entanglement entropy is bounded away from the…

量子物理 · 物理学 2022-04-22 Yichen Huang

Using free-fermionic techniques we study the entanglement entropy of a block of contiguous spins in a large finite quantum Ising chain in a transverse field, with couplings of different types: homogeneous, periodically modulated and random.…

统计力学 · 物理学 2009-11-13 Ferenc Igloi , Yu-Cheng Lin

We study the edge physics of gapped quantum systems in the framework of Projected Entangled Pair State (PEPS) models. We show that the effective low-energy model for any region acts on the entanglement degrees of freedom at the boundary,…

强关联电子 · 物理学 2014-01-28 S. Yang , L. Lehman , D. Poilblanc , K. Van Acoleyen , F. Verstraete , J. I. Cirac , N. Schuch