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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…

强关联电子 · 物理学 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…

统计力学 · 物理学 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…

无序系统与神经网络 · 物理学 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…

无序系统与神经网络 · 物理学 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…

统计力学 · 物理学 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…

高能物理 - 理论 · 物理学 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…

无序系统与神经网络 · 物理学 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…

强关联电子 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

介观与纳米尺度物理 · 物理学 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}…

强关联电子 · 物理学 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…

量子物理 · 物理学 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…

高能物理 - 理论 · 物理学 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…

量子物理 · 物理学 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…

强关联电子 · 物理学 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…

统计力学 · 物理学 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…

高能物理 - 理论 · 物理学 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…

强关联电子 · 物理学 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…

量子物理 · 物理学 2024-05-21 Giuseppe Del Vecchio Del Vecchio , Benjamin Doyon , Paola Ruggiero