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We develop a novel real-time approach to computing the entanglement between spatial regions for Gaussian states in quantum field theory. The entanglement entropy is characterized in terms of local correlation functions on space-like Cauchy…

High Energy Physics - Theory · Physics 2018-05-23 Jürgen Berges , Stefan Floerchinger , Raju Venugopalan

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

We provide numerical evidence that after a local quench in an isolated infinite quantum spin chain, the quantum state locally relaxes to the ground state of the post-quenched Hamiltonian, i.e. dissipates. This is a consequence of the…

Statistical Mechanics · Physics 2020-10-05 Yantao Wu

We compute the entropy of entanglement in the ground states of a general class of quantum spin-chain Hamiltonians - those that are related to quadratic forms of Fermi operators - between the first N spins and the rest of the system in the…

Quantum Physics · Physics 2009-11-10 J. P. Keating , F. Mezzadri

We examine the growth of entanglement under a quantum quench at point contacts of simple fractional quantum Hall fluids and its relation with the measurement of local observables. Recently Klich and Levitov proposed that the noise generated…

Mesoscale and Nanoscale Physics · Physics 2009-12-10 Benjamin Hsu , Eytan Grosfeld , Eduardo Fradkin

We present a perturbative method to compute the ground state entanglement entropy for interacting systems. We apply it to a collective model of mutually interacting spins in a magnetic field. At the quantum critical point, the entanglement…

Statistical Mechanics · Physics 2010-05-11 T. Barthel , S. Dusuel , J. Vidal

In this work, we consider two spins initially prepared in a product of coherent states and study their entanglement dynamics due to a general interacting Hamiltonian. We adopt an approach that allowed the derivation of a semiclassical…

Quantum Physics · Physics 2021-11-03 Matheus V. Scherer , Alexandre D. Ribeiro

Monitored quantum circuits can exhibit an entanglement transition as a function of the rate of measurements, stemming from the competition between scrambling unitary dynamics and disentangling projective measurements. We study how…

Disordered Systems and Neural Networks · Physics 2022-10-11 Utkarsh Agrawal , Aidan Zabalo , Kun Chen , Justin H. Wilson , Andrew C. Potter , J. H. Pixley , Sarang Gopalakrishnan , Romain Vasseur

We analyze signatures of the dynamical quantum phase transitions in physical observables. In particular, we show that both the expectation value and various out of time order correlation functions of the finite length product or string…

Statistical Mechanics · Physics 2021-05-19 Souvik Bandyopadhyay , Anatoli Polkovnikov , Amit Dutta

We numerically study the dynamics of entanglement entropy, induced by an oscillating time periodic driving of the transverse field, h(t), of a one-dimensional quantum Ising chain. We consider several realizations of h(t), and we find a…

Statistical Mechanics · Physics 2016-10-14 Tony J. G. Apollaro , G. Massimo Palma , Jamir Marino

The 3D Ising model and the generalized free scalar of dimension at least 0.75 belong to a continuous line of nonlocal fixed points, each referred to as a long-range Ising model. They can be distinguished by the dimension of the lightest…

High Energy Physics - Theory · Physics 2019-01-25 Connor Behan

Studies of quantum field entanglement in de Sitter space based on the von Neumann entropy of local patches have concluded that curvature enhances entanglement between regions and their complements. Similar conclusions about entanglement…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Patricia Ribes-Metidieri , Ivan Agullo , Béatrice Bonga

We investigate the phenomenon of spacetime-localized response in a quantum critical spin system, with particular attention to how it depends on the spatial profile and operator content of the applied perturbation, as well as its robustness…

Other Condensed Matter · Physics 2026-03-03 Daichi Imagawa , Keiju Murata , Daisuke Yamamoto

We consider a bilayer quantum spin model with anisotropic intra-layer exchange couplings. By varying the anisotropy, the quantum critical phenomena changes from XY to Heisenberg to Ising universality class, with two, three and one modes…

Statistical Mechanics · Physics 2015-06-19 Trithep Devakul , Rajiv R. P. Singh

Interspersing unitary dynamics with local measurements results in measurement-induced phases and transitions in many-body quantum systems. When the evolution is driven by a local Hamiltonian, two types of transitions have been observed,…

Quantum Physics · Physics 2024-02-23 Bo Xing , Xhek Turkeshi , Marco Schiró , Rosario Fazio , Dario Poletti

Solid-state spin arrays are being engineered in varied systems, including gated coupled quantum dots and interacting dopants in semiconductor structures. Beyond quantum computation, these arrays are useful integrated analog simulators for…

Strongly Correlated Electrons · Physics 2017-01-17 Leonardo Banchi , Abolfazl Bayat , Sougato Bose

Twist fields are a powerful formal tool to compute R\'enyi entropies in quantum many-body systems, but their conventional formulation in tensor network states involves operations acting on virtual degrees of freedom, which are not directly…

Quantum Physics · Physics 2026-05-27 Andrea Bulgarelli , Marco Panero , Paolo Stornati , Luca Tagliacozzo

We review the conformal field theory approach to entanglement entropy. We show how to apply these methods to the calculation of the entanglement entropy of a single interval, and the generalization to different situations such as finite…

Statistical Mechanics · Physics 2009-12-08 Pasquale Calabrese , John Cardy

We consider the transition between short-range entangled (SRE) and long-range ordered (and therefore long-range entangled) states of infinite quantum spin chains, which is induced by local measurements. Specifically, we assume that the…

Mathematical Physics · Physics 2026-02-25 Sven Bachmann , Mahsa Rahnama , Gabrielle Tournaire

We consider the quantum XY model and study the effects of interacting perturbations on the time evolution of the von Neumann and R\'enyi entropies of spin blocks after global quenches. We show that the entropies are sensitive to…

Statistical Mechanics · Physics 2015-07-31 Maurizio Fagotti , Mario Collura