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Quantum phase transitions occur at zero temperature and involve the appearance of long-range correlations. These correlations are not due to thermal fluctuations but to the intricate structure of a strongly entangled ground state of the…

量子物理 · 物理学 2008-11-26 G. Vidal , J. I. Latorre , E. Rico , A. Kitaev

The information-geometric origin of fidelity susceptibility and its utility as a universal probe of quantum criticality in many-body settings have been widely discussed. Here we explore the metric response of quantum relative entropy (QRE),…

统计力学 · 物理学 2026-05-15 Pritam Sarkar , Diptiman Sen , Arnab Sen

Entanglement exhibits universal behavior near the ground-state critical point where correlations are long-ranged and the thermodynamic entropy is vanishing. On the other hand, a quantum quench imparts extensive energy and results in a…

量子气体 · 物理学 2022-02-11 Sanku Paul , Paraj Titum , Mohammad F. Maghrebi

A pure quantum state can fully describe thermal equilibrium as long as one focuses on local observables. Thermodynamic entropy can also be recovered as the entanglement entropy of small subsystems. When the size of the subsystem increases,…

统计力学 · 物理学 2018-05-31 Yuya O. Nakagawa , Masataka Watanabe , Hiroyuki Fujita , Sho Sugiura

We study quantum correlations and complexity of simulation, characterized by quantum mutual information and entanglement entropy in operator space respectively, for thermal states in critical, non-critical and quantum chaotic spin chains. A…

量子物理 · 物理学 2008-08-12 Marko Znidaric , Tomaz Prosen , Iztok Pizorn

Entanglement is a physical resource of a quantum system just like mass, charge or energy. Moreover it is an essential tool for many purposes of nowadays quantum information processing, e.g. quantum teleportation, quantum cryptography or…

无序系统与神经网络 · 物理学 2008-02-15 Imre Varga , Jose Antonio Mendez-Bermudez

We study the scaling behavior of the entanglement entropy of two dimensional conformal quantum critical systems, i.e. systems with scale invariant wave functions. They include two-dimensional generalized quantum dimer models on bipartite…

统计力学 · 物理学 2009-03-28 Benjamin Hsu , Michael Mulligan , Eduardo Fradkin , Eun-Ah Kim

We review studies of entanglement entropy in systems with quenched randomness, concentrating on universal behavior at strongly random quantum critical points. The disorder-averaged entanglement entropy provides insight into the quantum…

无序系统与神经网络 · 物理学 2015-05-13 Gil Refael , Joel E. Moore

We investigate entanglement phase transitions from volume-law to area-law entanglement in a quantum many-body state under continuous position measurement on the basis of the quantum trajectory approach. We find the signatures of the…

统计力学 · 物理学 2021-02-15 Yohei Fuji , Yuto Ashida

We investigate the entanglement structure of a bipartite quantum system through the lens of quantum thermodynamics in the absence of conformal symmetry. Specifically, we consider the long-range Kitaev model, where the pairing interaction…

强关联电子 · 物理学 2025-08-04 Akash Mitra , Shashi C. L. Srivastava

We study fidelity and fidelity susceptibility by addition of entanglement of entropy in the one-dimensional quantum compass model in a transverse magnetic field numerically. The whole four recognized gapped regions in the ground state phase…

强关联电子 · 物理学 2014-06-13 Mostafa Motamedifar , Somayyeh Nemati , Saeed Mahdavifar , Saber Farjami Shayesteh

We propose a unified scaling theory of entanglement entropy in the confinements of finite bond dimensions, dynamics and system sizes. Within the theory, the finite-entanglement scaling introduced recently is generalized to the dynamics…

统计力学 · 物理学 2018-12-26 Xuanmin Cao , Qijun Hu , Fan Zhong

Quantum many-body states that frequently appear in physics often obey an entropy scaling law, meaning that an entanglement entropy of a subsystem can be expressed as a sum of terms that scale linearly with its volume and area, plus a…

量子物理 · 物理学 2021-05-26 Isaac H. Kim

Uncertainty relations and quantum entanglement are pivotal concepts in quantum theory. Beyond their fundamental significance in shaping our understanding of the quantum world, they also underpin crucial applications in quantum information…

量子物理 · 物理学 2023-12-18 Yundu Zhao , Shan Huang , Shengjun Wu

Near-critical quantum circuits are ideal physical systems for asymptotically large-scale quantum computers, because their low energy collective excitations evolve reversibly, effectively isolated from the environment. The design of…

统计力学 · 物理学 2019-02-01 Daniel Friedan

Entanglement entropy, which is a measure of quantum correlations between separate parts of a many-body system, has emerged recently as a fundamental quantity in broad areas of theoretical physics, from cosmology and field theory to…

量子物理 · 物理学 2009-03-09 Israel Klich , Leonid Levitov

Quantifying multipartite entanglement in quantum many-body systems and hybrid quantum computing architectures is a fundamental yet challenging task. In recent years, thermodynamic quantities such as the maximum extractable work from an…

量子物理 · 物理学 2025-11-06 Harsh Sharma , Sampriti Saha , A. S. Majumdar , Manik Banik , Himadri Shekhar Dhar

The entanglement entropy of a subsystem of a quantum system is expressed, in the replica approach, through analytic continuation with respect to n of the trace of the n-th power of the reduced density matrix. This trace can be thought of as…

高能物理 - 理论 · 物理学 2008-12-18 Michele Caraglio , Ferdinando Gliozzi

This review focuses on the field of quantum entanglement applied to condensed matter physics systems with strong correlations, a domain which has rapidly grown over the last decade. By tracing out part of the degrees of freedom of…

强关联电子 · 物理学 2016-08-11 Nicolas Laflorencie

We present a quantum information theory that allows for a consistent description of entanglement. It parallels classical (Shannon) information theory but is based entirely on density matrices (rather than probability distributions) for the…

量子物理 · 物理学 2009-10-30 Nicolas J. Cerf , Chris Adami
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