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Identifying spatial quantum correlations in mixed states is challenging because thermal mixed-state contributions obscure the entanglement encoded in subsystem entropy. Here, we introduce the entanglement projected entropy, a diagnostic for…

Quantum Physics · Physics 2026-05-26 Jia-Wen Tao , Hui-Ke Jin

After a brief introduction to the concept of entanglement in quantum systems, I apply these ideas to many-body systems and show that the von Neumann entropy is an effective way of characterising the entanglement between the degrees of…

Statistical Mechanics · Physics 2009-11-13 John Cardy

First order quantum phase transitions (1QPTs) are signaled, in the thermodynamic limit, by discontinuous changes in the ground state properties. These discontinuities affect expectation values of observables, including spatial correlations.…

Quantum Physics · Physics 2018-07-12 A. Yuste , C. Cartwright , G. De Chiara , A. Sanpera

We compare the capacity of entanglement with the entanglement entropy by considering various aspects of these quantities for free bosonic and fermionic models in one spatial dimension, both in the continuum and on the lattice. Substantial…

Statistical Mechanics · Physics 2023-04-20 Raúl Arias , Giuseppe Di Giulio , Esko Keski-Vakkuri , Erik Tonni

Entanglement and its propagation are central to understanding a multitude of physical properties of quantum systems. Notably, within closed quantum many-body systems, entanglement is believed to yield emergent thermodynamic behavior.…

We study various aspects of capacity of entanglement in the squeezed states of a scalar field theory. This quantity is a quantum informational counterpart of heat capacity and characterizes the width of the eigenvalue spectrum of the…

High Energy Physics - Theory · Physics 2024-09-20 M. Reza Mohammadi Mozaffar

We calculate numerically the entanglement entropy of free fermion ground states in one-, two- and three-dimensional Anderson models, and find that it obeys the area law as long as the linear size of the subsystem is sufficiently larger than…

Strongly Correlated Electrons · Physics 2015-03-17 Mohammad Pouranvari , Yuhui Zhang , Kun Yang

In a recent work [Reible et al., Phys. Rev. Res. 5, 023156, 2023], it has been shown that the mean particle-particle interaction across an ideal surface that divides a system into two parts, can be employed to estimate the size dependence…

Statistical Mechanics · Physics 2024-01-25 Luigi Delle Site , Carsten Hartmann

Area laws describe how entanglement entropy scales and thus provide important necessary conditions for efficient quantum many-body simulation, but they do not, by themselves, yield a direct measure of computational complexity. Here we…

Quantum Physics · Physics 2026-04-28 Anna O. Schouten , David A. Mazziotti

The prominent collective character of long-range interacting quantum systems makes them promising candidates for quantum technological applications. Yet, lack of additivity overthrows the traditional picture for entanglement scaling and…

Quantum Physics · Physics 2023-08-07 Guido Giachetti , Nicolo Defenu

Simulating strongly-correlated quantum systems in continuous space belongs to the most challenging and long-concerned issues in quantum physics. This work investigates the quantum entanglement and criticality of the ground-state…

Quantum Physics · Physics 2025-06-17 Rui Hong , Hao-Wei Cui , An-Chun Ji , Shi-Ju Ran

We study quench dynamics in a t-V chain of spinless fermions (equivalent to the spin-1/2 Heisenberg chain) with strong potential disorder. For this prototypical model of many-body localization we have recently argued that -- contrary to the…

Disordered Systems and Neural Networks · Physics 2022-11-29 M. Kiefer-Emmanouilidis , R. Unanyan , M. Fleischhauer , J. Sirker

In the expanding universe, two interacting fields are no longer in thermal contact when the interaction rate becomes smaller than the Hubble expansion rate. After decoupling, two subsystems are usually treated separately in accordance with…

High Energy Physics - Theory · Physics 2017-12-20 Yuichiro Nakai , Noburo Shiba , Masaki Yamada

This study investigates the entanglement properties of disordered free fermion systems undergoing an Anderson phase transition from a delocalized to a localized phase. The entanglement entropy is employed to quantify the degree of…

Strongly Correlated Electrons · Physics 2023-09-26 Mohammad Pouranvari

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…

Strongly Correlated Electrons · Physics 2016-08-11 Nicolas Laflorencie

Non-Hermitian quantum many-body systems feature steady-state entanglement transitions driven by the competition between unitary dynamics and dissipation. In this work, we reveal the fundamental role of conservation laws in shaping this…

Statistical Mechanics · Physics 2025-10-14 Rafael D. Soares , Youenn Le Gal , Chun Y. Leung , Dganit Meidan , Alessandro Romito , Marco Schirò

Entanglement and stabilizer entropy are both involved in the onset of complex behavior in quantum many-body systems. Their interplay is at the root of complexity of simulability, scrambling, thermalization and typicality. In this work, we…

Quantum Physics · Physics 2025-09-16 Jovan Odavić , Michele Viscardi , Alioscia Hamma

The fermion sign problem is often viewed as a sheer inconvenience that plagues numerical studies of strongly interacting electron systems. Only recently, it has been suggested that fermion signs are fundamental for the universal behavior of…

Strongly Correlated Electrons · Physics 2017-04-12 N. Kaplis , F. Krüger , J. Zaanen

We discuss the behavior of the entanglement entropy of the ground state in various collective systems. Results for general quadratic two-mode boson models are given, yielding the relation between quantum phase transitions of the system…

Statistical Mechanics · Physics 2011-02-16 J. Vidal , S. Dusuel , T. Barthel

The evolution of a system coupled to baths is commonly described by a master equation that, in the long-time limit, yields a steady-state density matrix. However, when the same evolution is unraveled into quantum trajectories, it is…

Quantum Physics · Physics 2025-12-16 Bo Xing , Giuliano Chiriacò , Paola Cappellaro , Rosario Fazio , Dario Poletti
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