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We examine the entanglement entropy of the even half of a translationally invariant finite chain or lattice in its ground state. This entropy measures the entanglement between the even and odd halves (each forming a "comb" of $n/2$ sites)…

Quantum Physics · Physics 2011-04-26 Raul Rossignoli , Norma Canosa , Juan Mauricio Matera

We investigate entanglement of strongly interacting fermions in spatially inhomogeneous environments. To quantify entanglement in the presence of spatial inhomogeneity, we propose a local-density approximation (LDA) to the entanglement…

Strongly Correlated Electrons · Physics 2008-03-24 V. V. França , K. Capelle

Entanglement plays a prominent role in the study of condensed matter many-body systems: Entanglement measures not only quantify the possible use of these systems in quantum information protocols, but also shed light on their physics.…

Quantum Physics · Physics 2021-11-02 Shachar Fraenkel , Moshe Goldstein

We study the momentum space entanglement spectra of bosonic and fermionic formulations of the spin-1/2 XXZ chain with analytical methods and exact diagonalization. We investigate the behavior of the entanglement gaps, present in both…

Strongly Correlated Electrons · Physics 2014-12-23 Rex Lundgren , Jonathan Blair , Martin Greiter , Andreas Läuchli , Gregory A. Fiete , Ronny Thomale

We formulate a new ``Wigner characteristics'' based method to calculate entanglement entropies of subsystems of Fermions using Keldysh field theory. This bypasses the requirements of working with complicated manifolds for calculating…

Statistical Mechanics · Physics 2020-12-30 Saranyo Moitra , Rajdeep Sensarma

We show that block entanglement entropies in one-dimensional systems close to a quantum critical point can in principle be measured in terms of the population of low-lying energy levels following a certain type of local quantum quench.

Statistical Mechanics · Physics 2011-05-03 John Cardy

We study the time evolution after a quantum quench in a family of models whose degrees of freedom are fermions coupled to spins, where quenched disorder appears neither in the Hamiltonian parameters nor in the initial state. Focussing on…

Strongly Correlated Electrons · Physics 2017-10-27 Adam Smith , Johannes Knolle , Roderich Moessner , Dmitry L. Kovrizhin

In this work, we study the phenomena of quantum entanglement by computing de Sitter entanglement entropy from von Neumann measure. For this purpose we consider a bipartite quantum field theoretic setup in presence of axion originating from…

High Energy Physics - Theory · Physics 2019-05-01 Sayantan Choudhury , Sudhakar Panda

We investigate the second R\'enyi entropy of two intervals in the massless Thirring model describing a self-interacting Dirac fermion in two dimensions. Boson-fermion duality relating this model to a free compact boson theory enables us to…

High Energy Physics - Theory · Physics 2023-12-19 Harunobu Fujimura , Tatsuma Nishioka , Soichiro Shimamori

The universal forms of quantum density and phase correlations after an interaction quench are found for dilute 1d, 2d, and 3d condensates. A Bogoliubov approach in a local density aproximation is used. We obtain compact expressions for the…

Quantum Gases · Physics 2019-02-20 Joanna Pietraszewicz , Magdalena Stobińska , Piotr Deuar

We formulate dynamical phase transitions in subsystems embedded in larger quantum systems. Introducing the entanglement echo as an overlap of the initial and instantaneous entanglement ground states, we show its analytic structure after a…

Quantum Physics · Physics 2021-06-21 Kim Pöyhönen , Teemu Ojanen

Entanglement entropy is a useful probe of compressible quantum matter because it can detect the existence of Fermi surfaces, both of microscopic fermionic degrees of freedom and of "hidden" gauge charged fermions. Much recent attention has…

High Energy Physics - Theory · Physics 2014-07-16 Brian Swingle , Liza Huijse , Subir Sachdev

We study the one-particle von Neumann entropy of a system of N hard-core anyons on a ring. The entropy is found to have a clear dependence on the anyonic parameter which characterizes the generalized fractional statistics described by the…

Strongly Correlated Electrons · Physics 2009-11-11 Raoul Santachiara , Franck Stauffer , Daniel Cabra

We present exact formulas for the entanglement and R\'{e}nyi entropies generated at a quantum point contact (QPC) in terms of the statistics of charge fluctuations, which we illustrate with examples from both equilibrium and non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2011-05-04 H. Francis Song , Christian Flindt , Stephan Rachel , Israel Klich , Karyn Le Hur

We develop a random sampling method for calculating the time evolution of the R\'{e}nyi entanglement entropy after a quantum quench from an insulating state in free boson systems. Because of the non-Gaussian nature of the initial state,…

Quantum Physics · Physics 2025-03-12 Ryui Kaneko , Daichi Kagamihara , Ippei Danshita

Quantum entanglement in systems of identical particles is often obscured by the interplay between exchange-induced correlations and the operational framework used to define entanglement. To study the role of exchange statistics, we propose…

Quantum Physics · Physics 2026-04-22 M. F. V. Oliveira , F. A. B. F. de Moura , M. L. Lyra , G. M. A. Almeida

We develop a method to calculate generic time-dependent correlation functions for inhomogeneous quantum quenches in (1+1)-dimensional conformal field theory (CFT) induced by sudden Hamiltonian deformations that modulate the energy density…

Statistical Mechanics · Physics 2025-06-06 Xinyu Liu , Alexander McDonald , Tokiro Numasawa , Biao Lian , Shinsei Ryu

We study the entanglement entropy and particle number cumulants for a system of disordered noninteracting fermions in $d$ dimensions. We show, both analytically and numerically, that for a weak disorder the entanglement entropy and the…

Mesoscale and Nanoscale Physics · Physics 2021-03-15 I. S. Burmistrov , K. S. Tikhonov , I. V. Gornyi , A. D. Mirlin

We use a simple holographic toy model to study global quantum quenches in strongly-coupled, hyperscaling-violating-Lifshitz quantum field theories using entanglement entropy as a probe. Generalizing our results in arxiv:1705.10324 , we show…

High Energy Physics - Theory · Physics 2018-11-14 Sagar F. Lokhande

The fidelity and entanglement entropy in an antiferromagnetic-ferromagnetic alternating Heisenberg chain are investigated by using the method of density-matrix renormalization-group. The effect of anisotropy on fidelity and entanglement…

Quantum Physics · Physics 2010-06-11 Jie Re , Shiqun Zhu