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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

We study the entanglement entropy of the quantum trajectories of a free fermion chain under continuous monitoring of local occupation numbers. We propose a simple theory for entanglement entropy evolution from disentangled and highly…

Statistical Mechanics · Physics 2019-08-28 Xiangyu Cao , Antoine Tilloy , Andrea De Luca

The many-body localised phase of quantum systems is an unusual dynamical phase wherein the system fails to thermalise and yet, entanglement grows unboundedly albeit very slowly in time. We present a microscopic theory of this ultraslow…

Disordered Systems and Neural Networks · Physics 2024-12-23 Bikram Pain , Sthitadhi Roy

Entanglement measures have emerged as one of the versatile probes to diagnose quantum phases and their transitions. Universal features in them expand their applicability to a range of systems, including those with quenched disorder. In this…

Disordered Systems and Neural Networks · Physics 2024-07-18 Subrata Pachhal , Adhip Agarwala

Dynamical phase transitions induced by local projective measurements have attracted a lot of attention in the past few years. It has been in particular argued that measurements may induce an abrupt change in the scaling law of the bipartite…

Statistical Mechanics · Physics 2024-12-10 Dragi Karevski , Michele Coppola , Emanuele Tirrito , Mario Collura

We investigate the dynamics of the entanglement Hamiltonian in a system of one-dimensional free fermions, following a local joining quench of two initially disconnected half-chains in their ground states. Applying techniques of conformal…

High Energy Physics - Theory · Physics 2025-08-28 Riccarda Bonsignori , Viktor Eisler

The entanglement entropy of the two-dimensional random transverse Ising model is studied with a numerical implementation of the strong disorder renormalization group. The asymptotic behavior of the entropy per surface area diverges at, and…

Disordered Systems and Neural Networks · Physics 2009-11-13 Yu-Cheng Lin , Ferenc Igloi , Heiko Rieger

The venerable phenomena of Anderson localization, along with the much more recent many-body localization, both depend crucially on the presence of disorder. The latter enters either in the form of quenched disorder in the parameters of the…

Strongly Correlated Electrons · Physics 2017-07-04 Adam Smith , Johannes Knolle , Dmitry L. Kovrizhin , Roderich Moessner

We derive in detail several universal features in the time evolution of entanglement entropy and other nonlocal observables in quenched holographic systems. The quenches are such that a spatially uniform density of energy is injected at an…

High Energy Physics - Theory · Physics 2014-03-26 Hong Liu , S. Josephine Suh

We compute the entanglement and R\'enyi entropy growth after a global quench in various dimensions in free scalar field theory. We study two types of quenches: a boundary state quench and a global mass quench. Both of these quenches are…

High Energy Physics - Theory · Physics 2017-05-02 Jordan S. Cotler , Mark P. Hertzberg , Márk Mezei , Mark T. Mueller

We study the entanglement entropy(EE) of disordered one-dimensional spinless fermions with attractive interactions. With intensive numerical calculation of the EE using the density matrix renormalization group method, we find clear…

Mesoscale and Nanoscale Physics · Physics 2013-03-08 Rui-Lin Chu , An Zhao , Shun-Qing Shen

Free fermions with a finite Fermi surface are known to exhibit an anomalously large entanglement entropy. The leading contribution to the entanglement entropy of a region of linear size $L$ in $d$ spatial dimensions is $S\sim L^{d-1}…

Strongly Correlated Electrons · Physics 2012-10-03 Brian Swingle

Understanding how complex entanglement structures emerge is a central problem in quantum many-body physics. Recent work by Zhang et al. has considered structured initial states prepared by evolving a product state under a chaotic…

Quantum Physics · Physics 2026-05-21 Chen Xu , Pengfei Zhang

We examine the temporal evolution of the modular entropy and capacity (in particular, the fluctuation of the entanglement entropy) for systems of time-dependent oscillators coupled by a (time-dependent) parameter. Such models, through the…

High Energy Physics - Theory · Physics 2023-12-25 K. Andrzejewski

To produce a fermionic model exhibiting an entanglement entropy volume law, we propose a particular version of nonlocality in which the energy-momentum dispersion relation is effectively randomized at the shortest length scales while…

Quantum Physics · Physics 2019-07-31 G. C. Levine

When a group of compactly packed free fermions is allowed to spread over an empty one-dimensional lattice, the spreading particles can create entanglement between different parts of the lattice. We show, though breaking of translational…

Strongly Correlated Electrons · Physics 2021-02-05 Roopayan Ghosh , Arnab Das

We numerically study quenches from a fully ordered state to the ferromagnetic regime of the chiral $\mathbb{Z}_3$ clock model, where the physics can be understood in terms of sparse domain walls of six flavors. As in the previously studied…

Statistical Mechanics · Physics 2021-05-26 Naveen Nishad , M Santhosh , G J Sreejith

A relation between the conformal anomaly and the logarithmic term in the entanglement entropy is known to exist for CFT's in even dimensions. In odd dimensions the local anomaly and the logarithmic term in the entropy are absent. As was…

High Energy Physics - Theory · Physics 2016-04-20 Dmitri V. Fursaev , Sergey N. Solodukhin

We extend the study of finite-entanglement scaling from one-dimensional gapless models to two-dimensional systems with a Fermi surface. In particular, we show that the entanglement entropy of a contractible spatial region with linear size…

Strongly Correlated Electrons · Physics 2024-01-11 Quinten Mortier , Ming-Hao Li , Jutho Haegeman , Nick Bultinck

The large-scale behaviour of entanglement entropy in finite-density states, in and out of equilibrium, can be understood using the physical picture of particle pairs. However, the full theoretical origin of this picture is not fully…

Quantum Physics · Physics 2024-05-21 Giuseppe Del Vecchio Del Vecchio , Benjamin Doyon , Paola Ruggiero