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Topologically ordered systems exhibit large-scale correlation in their ground states, which may be characterized by quantities such as topological entanglement entropy. We propose that the concept of irreducible many-body correlation, the…

Quantum Physics · Physics 2019-05-09 Yang Liu , Bei Zeng , D. L. Zhou

Quantum entanglement is a particularly useful characterization of topological orders which lack conventional order parameters. In this work, we study the entanglement in topologically ordered states between two arbitrary spatial regions,…

Strongly Correlated Electrons · Physics 2023-08-01 Chao Yin , Shang Liu

We study the disconnected entanglement entropy (DEE) of a Kitaev chain in which the chemical potential is periodically modulated with $\delta$-function pulses within the framework of Floquet theory. For this driving protocol, the DEE of a…

Statistical Mechanics · Physics 2024-05-15 Saikat Mondal , Diptiman Sen , Amit Dutta

The properties of the entanglement entropy (EE) of a clean Cayley tree (CT) are studied. The EE shows a completely different behaviour depending on the way the CT is partitioned into two regions and whether we consider the ground-state or…

Disordered Systems and Neural Networks · Physics 2016-08-24 Yishai Schreiber , Richard Berkovits

We initiate a study of subregion dualities, entropy, and redundant encoding of bulk points in holographic theories deformed by $T \bar T$ and its generalizations. This includes both cut off versions of Anti de Sitter spacetime, as well as…

High Energy Physics - Theory · Physics 2026-01-27 Aitor Lewkowycz , Junyu Liu , Eva Silverstein , Gonzalo Torroba

Motivated to understand how entanglement resources can be distributed in quantum networks, we introduce threshold entanglement (TE) states. These are multipartite quantum states whose entanglement across bipartitions forces all marginals of…

Topological states of matter are characterized by nonlocal structures that are naturally encoded in the quantum entanglement of many-body wavefunctions. Topological semimetals are short-range entangled states at weak coupling and their…

High Energy Physics - Theory · Physics 2026-02-09 Xiantong Chen , Xuanting Ji , Ya-Wen Sun

On top of a $D$-dimensional gapped bulk state, Low Entanglement Excitations (LEE) on $d$($<D$)-dimensional sub-manifolds can have extensive energy but preserves the entanglement area law of the ground state. Due to their multi-dimensional…

Strongly Correlated Electrons · Physics 2025-07-29 Jing-Yu Zhao , Xie Chen

The ground states of topological orders condense extended objects and support topological excitations. This nontrivial property leads to nonzero topological entanglement entropy $S_{topo}$ for conventional topological orders. Fracton…

Strongly Correlated Electrons · Physics 2018-04-18 Bowen Shi , Yuan-Ming Lu

Quantum systems with short range interactions are known to respect an area law for the entanglement entropy: the von Neumann entropy $S$ associated to a bipartition scales with the boundary $p$ between the two parts. Here we study the case…

Quantum Physics · Physics 2010-02-03 Alioscia Hamma , Daniel A. Lidar , Simone Severini

Transfer Entropy (TE), the primary method for determining directed information flow within a network system, can exhibit bias - either in deficiency or excess - during both pairwise and conditioned calculations, owing to high-order…

Data Analysis, Statistics and Probability · Physics 2024-02-14 Sebastiano Stramaglia , Luca Faes , Jesus M. Cortes , Daniele Marinazzo

Entwinement is the entanglement entropy of a subset of gauge-variant degrees of freedom in a certain twisted state of an orbifold CFT, defined by embedding the state in a larger Hilbert space with some gauge constraints removed. We propose…

High Energy Physics - Theory · Physics 2016-08-16 Jennifer Lin

We introduce a model of three-dimensional (3D) topological order enriched by planar subsystem symmetries. The model is constructed starting from the 3D toric code, whose ground state can be viewed as an equal-weight superposition of…

Strongly Correlated Electrons · Physics 2020-09-09 David T. Stephen , José Garre-Rubio , Arpit Dua , Dominic J. Williamson

Entanglement plays a pervasive role nowadays throughout quantum information science, and at the same time provides a bridging notion between quantum information science and fields as diverse as condensed-matter theory, quantum gravity, and…

Quantum Physics · Physics 2007-05-23 Lorenza Viola , Howard Barnum

A given fractional quantum Hall state may admit multiple, distinct edge phases on its boundary. We explore the implications that multiple edge phases have for the entanglement spectrum and entropy of a given bulk state. We describe the…

Strongly Correlated Electrons · Physics 2015-08-12 Jennifer Cano , Taylor L. Hughes , Michael Mulligan

We investigate the holographic entanglement entropy (HEE) of a strip geometry in four dimensional Q-lattice backgrounds, which exhibit metal-insulator transitions in the dual field theory. Remarkably, we find that the HEE always displays a…

High Energy Physics - Theory · Physics 2016-04-26 Yi Ling , Peng Liu , Chao Niu , Jian-Pin Wu , Zhuo-Yu Xian

Gauge theories on manifolds with spatial boundaries are studied. It is shown that observables localized at the boundaries (edge observables) can occur in such models irrespective of the dimensionality of spacetime. The intimate connection…

High Energy Physics - Theory · Physics 2009-10-28 A. P. Balachandran , L. Chandar , E. Ercolessi

We study a model of two dimensional, topological superconductivity on a square lattice. The model contains hopping, spin orbit coupling and a time reversal symmetry breaking Zeeman term. This term, together with the chemical potential act…

Strongly Correlated Electrons · Physics 2017-03-08 Jan Borchmann , T. Pereg-Barnea

We consider time-dependent entanglement entropy (EE) for a 1+1 dimensional CFT in the presence of angular momentum and U(1) charge. The EE saturates, irrespective of the initial state, to the grand canonical entropy after a time large…

High Energy Physics - Theory · Physics 2015-06-16 Pawel Caputa , Gautam Mandal , Ritam Sinha

We discuss the time dependence of subsystem entropies in interacting quantum systems. As a model for the time dependence, we suggest that the entropy is as large as possible given two constraints: one follows from the existence of an…

High Energy Physics - Theory · Physics 2021-04-02 Márk Mezei , Douglas Stanford