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Entanglement is defined between subsystems of a quantum system, and at fixed time two regions of space can be viewed as two subsystems of a relativistic quantum field. The entropy of entanglement between such subsystems is ill-defined…

Quantum Physics · Physics 2014-10-01 Issam Ibnouhsein , Fabio Costa , Alexei Grinbaum

We study the entanglement between disjoint subregions in quantum critical systems through the lens of the logarithmic negativity. We work with systems in arbitrary dimensions, including conformal field theories and their corresponding…

Strongly Correlated Electrons · Physics 2024-05-06 Gilles Parez , William Witczak-Krempa

The entanglement entropy of two gapless non-interacting fermion subsystems is computed approximately in a way that avoids the introduction of replicas and a geometric interpretation of the reduced density matrix. We exploit the similarity…

Statistical Mechanics · Physics 2013-05-29 G. C. Levine , B. A. Friedman

We study the ground-state entanglement Hamiltonian of several disjoint intervals for the massless Dirac fermion on the half-line. Its structure consists of a local part and a bi-local term that couples each point to another one in each…

Statistical Mechanics · Physics 2023-02-08 Federico Rottoli , Sara Murciano , Erik Tonni , Pasquale Calabrese

We study the problem of irreversibility when the dynamical evolution of a many-body system is described by a stochastic quantum circuit. Such evolution is more general than a Hamiltonian one, and since energy levels are not well defined,…

Quantum Physics · Physics 2015-06-17 Claudio Chamon , Alioscia Hamma , Eduardo R. Mucciolo

We consider the entanglement Hamiltonian for an interval in a chain of free fermions in its ground state and show that the lattice expression goes over into the conformal one if one includes the hopping to distant neighbours in the…

Statistical Mechanics · Physics 2019-07-22 Viktor Eisler , Erik Tonni , Ingo Peschel

Spinless fermions on highly frustrated lattices are characterized by a lowest single-particle band which is completely flat. Concrete realizations are provided by the sawtooth chain and the kagome lattice. For these models a real-space…

Strongly Correlated Electrons · Physics 2015-03-03 A. Honecker , J. Richter

We study the melting of a domain wall in free-fermion chains, where the periodic variation of the hopping amplitudes gives rise to a band structure. It is shown that the entanglement grows logarithmically in time, and the prefactor is…

Statistical Mechanics · Physics 2025-10-15 Viktor Eisler

The von Neumann entropy of various quantum dissipative models is calculated in order to discuss the entanglement properties of these systems. First, integrable quantum dissipative models are discussed, i.e., the quantum Brownian motion and…

Quantum Physics · Physics 2009-11-11 T. Stauber , F. Guinea

We describe an efficient theoretical criterion, suitable for indistinguishable particles to quantify the quantum correlations of any pure two-fermion state, based on the Slater rank concept. It represents the natural generalization of the…

Quantum Physics · Physics 2007-05-23 Fabrizio Buscemi , Paolo Bordone , Andrea Bertoni

We characterize the early stages of the approach to equilibrium in isolated quantum systems through the evolution of the entanglement spectrum. We find that the entanglement spectrum of a subsystem evolves with at least three distinct…

Disordered Systems and Neural Networks · Physics 2019-11-12 Po-Yao Chang , Xiao Chen , Sarang Gopalakrishnan , J. H. Pixley

Both the topics of entanglement and particle statistics have aroused enormous research interest since the advent of quantum mechanics. Using two pairs of entangled particles we show that indistinguishability enforces a transfer of…

Quantum Physics · Physics 2009-11-07 Y. Omar , N. Paunkovic , S. Bose , V. Vedral

Quantum entanglement manifests itself in non-local correlations between the constituents of a system. In its simplest realization, a measurement on one subsystem is affected by a prior measurement on its partner, irrespective of their…

Quantum Physics · Physics 2026-01-09 Gilles Parez , William Witczak-Krempa

Measurement-driven transitions between extensive and sub-extensive scaling of the entanglement entropy receive interest as they illuminate the intricate physics of thermalization and control in open interacting quantum systems. Whilst this…

Statistical Mechanics · Physics 2020-11-25 Marcin Szyniszewski , Alessandro Romito , Henning Schomerus

In this work, we derive a generalized modified Friedmann equation based on an entropy-area relation that incorporates established modifications, such as volumetric, linear, and logarithmic terms, in addition to novel entropic modifications…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Javier Chagoya , I. Díaz-Saldaña , Mario H. Amante , J. C. López-Domínguez , M. Sabido

Continuous monitoring of one-dimensional free fermionic systems can generate phenomena reminiscent of quantum criticality, such as logarithmic entanglement growth, algebraic correlations, and emergent conformal invariance, but in a…

Quantum Physics · Physics 2026-05-12 Clemens Niederegger , Tatiana Vovk , Elias Starchl , Lukas M. Sieberer

We consider the target space entanglement in quantum mechanics of non-interacting fermions at finite temperature. Unlike pure states investigated in arXiv:2105.13726, the (R\'enyi) entanglement entropy for thermal states does not follow a…

High Energy Physics - Theory · Physics 2022-10-19 Temma Hanyuda , Soichiro Mori , Sotaro Sugishita

Entanglement entropy under a particle bipartition provides complementary information to mode entanglement as it is sensitive to interactions and particle statistics at leading order and does not depend on any externally imposed length…

We investigate double-interval entanglement measures, specifically reflected entropy, mutual information, and logarithmic negativity, in quasiparticle excited states for classical, bosonic, and fermionic systems. We develop an algorithm…

Quantum Physics · Physics 2026-01-08 Zhouhao Guo , Jiaju Zhang

Entanglement plays an important role in our ability to understand, simulate, and harness quantum many-body phenomena. In this work, we investigate the entanglement spectrum for open one-dimensional systems, and propose a natural quantifier…

Quantum Physics · Physics 2018-08-01 Evert van Nieuwenburg , Oded Zilberberg