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We study the properties of the entanglement spectrum in gapped non-interacting non-Hermitian systems, and its relation to the topological properties of the system Hamiltonian. Two different families of entanglement Hamiltonians can be…

介观与纳米尺度物理 · 物理学 2020-01-06 Loïc Herviou , Nicolas Regnault , Jens H. Bardarson

For one-dimensional non-interacting complex fermions, we compute numerically the probability distribution of the change in the entanglement entropy (EE) after saturation, resulting from a single measurement of the occupation number by using…

量子物理 · 物理学 2026-03-03 Bo Fan , Can Yin , Antonio M. García-García

We study the asymptotic bipartite entanglement entropy of the quantum trajectories of a free-fermionic system, when subject to a continuous nonlocal monitoring. The measurements are described by Gaussian-preserving two-point operators,…

量子物理 · 物理学 2023-09-20 Angelo Russomanno , Giulia Piccitto , Davide Rossini

The non-Hermitian model exhibits counterintuitive phenomena that are not observed in the Hermitian counterparts. To probe the competition between non-Hermitian and Hermitian interacting components of the Hamiltonian, we focus on a system…

The Wannier-Stark localization dynamically alters the entanglement behavior of non-Hermitian free fermions. Utilizing the single-particle correlation matrix technique, we analyze the effective Hamiltonian of these fermions with a…

量子物理 · 物理学 2024-09-26 Han-Ze Li , Minhui Wan , Jian-Xin Zhong

Scrambling of quantum information in unitary evolution can be hindered due to measurements and localization, which pin quantum mechanical wavefunctions in real space suppressing entanglement in the steady state. In monitored free-fermionic…

量子物理 · 物理学 2023-10-24 Marcin Szyniszewski , Oliver Lunt , Arijeet Pal

Quantum entanglement can be an effective diagnostic tool for probing topological phases protected by global symmetries. Recently, the notion of nontrivial topology in critical systems has been proposed and is attracting growing attention.…

强关联电子 · 物理学 2025-08-19 Wen-Hao Zhong , Hai-Qing Lin , Xue-Jia Yu

We consider a local quench where two free-fermion half-chains are coupled via a defect. We show that the logarithmic increase of the entanglement entropy is governed by the same effective central charge which appears in the ground-state…

统计力学 · 物理学 2015-06-05 Viktor Eisler , Ingo Peschel

We propose entanglement negativity as a fine-grained probe of measurement-induced criticality. We motivate this proposal in stabilizer states, where for two disjoint subregions, comparing their "mutual negativity" and their mutual…

统计力学 · 物理学 2021-07-28 Shengqi Sang , Yaodong Li , Tianci Zhou , Xiao Chen , Timothy H. Hsieh , Matthew P. A. Fisher

We study the entanglement Hamiltonian for the ground state of one-dimensional free fermions in the presence of an inhomogeneous chemical potential. In particular, we consider a lattice with a linear, as well as a continuum system with a…

统计力学 · 物理学 2024-03-25 Riccarda Bonsignori , Viktor Eisler

We study the phase transition in the holographic entanglement entropy for various confining models. This transition occurs for the entanglement entropy of a strip at a critical value of the strip width. Our main interest is to examine the…

高能物理 - 理论 · 物理学 2012-05-16 Aitor Lewkowycz

We propose a method of computing and studying entanglement quantities in non-Hermitian systems by use of a biorthogonal basis. We find that the entanglement spectrum characterizes the topological properties in terms of the existence of…

强关联电子 · 物理学 2020-07-16 Po-Yao Chang , Jhih-Shih You , Xueda Wen , Shinsei Ryu

Extensive body of work has shown that for the model of a non-interacting electron in a random potential there is a quantum critical point for dimensions greater than two---a metal-insulator transition. This model also plays an important…

无序系统与神经网络 · 物理学 2010-08-17 Sudip Chakravarty

Repeated local measurements typically have adversarial effects on entangling unitary dynamics, as local measurements usually degrade entanglement. However, recent works on measurement-only dynamics have shown that strongly entangled states…

量子物理 · 物理学 2026-04-17 Surajit Bera , Igor V. Gornyi , Sumilan Banerjee , Yuval Gefen

Topological states of matter are characterized by nonlocal structures that are naturally encoded in the quantum entanglement of many-body wavefunctions. Topological semimetals are short-range entangled states at weak coupling and their…

高能物理 - 理论 · 物理学 2026-02-09 Xiantong Chen , Xuanting Ji , Ya-Wen Sun

Correlation functions and entanglement are two different aspects to characterize quantum many-body states. While many correlation functions are experimentally accessible, entanglement entropy (EE), the simplest characterization of quantum…

强关联电子 · 物理学 2022-12-20 Zhiyuan Yao , Lei Pan , Shang Liu , Pengfei Zhang

We study some general properties of coupled quantum systems. We consider simple interactions between two copies of identical Hamiltonians such as the SYK model, Pauli spin chains with random magnetic field and harmonic oscillators. Such…

高能物理 - 理论 · 物理学 2021-03-10 Fabien Alet , Masanori Hanada , Antal Jevicki , Cheng Peng

It is well established that the entanglement entropy of a critical system generally scales logarithmically with system size. Yet, in this work, we report a new class of non-Hermitian critical transitions that exhibit dramatic divergent dips…

量子物理 · 物理学 2025-07-18 Sirui Liu , Hui Jiang , Wen-Tan Xue , Qingya Li , Jiangbin Gong , Xiaogang Liu , Ching Hua Lee

The statistical mechanics characterization of a finite subsystem embedded in an infinite system is a fundamental question of quantum physics. Nevertheless, a full closed form { for all required entropic measures} does not exist in the…

量子物理 · 物理学 2022-03-23 Eldad Bettelheim , Aditya Banerjee , Martin B. Plenio , Susana F. Huelga

We investigate how the dynamical production of quantum entanglement for weakly coupled mapping systems is influenced by the chaotic dynamics of the corresponding classical system. We derive a general perturbative formula for the…

量子物理 · 物理学 2015-06-26 Hiroshi Fujisaki , Atushi Tanaka , Takayuki Miyadera