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The entanglement entropy of the incompressible states of a realistic quantum Hall system are studied by direct diagonalization. The subdominant term to the area law, the topological entanglement entropy, which is believed to carry…

Mesoscale and Nanoscale Physics · Physics 2010-06-15 B. A. Friedman , G. C. Levine

The entanglement entropy of a pure quantum state of a bipartite system is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local Hamiltonians in one…

Strongly Correlated Electrons · Physics 2016-09-08 Eduardo Fradkin

Topological phases are characterized by their entanglement properties, which is manifest in a direct relation between entanglement spectra and edge states discovered by Li and Haldane. We propose to leverage the power of synthetic quantum…

Quantum Gases · Physics 2022-05-04 Torsten V. Zache , Christian Kokail , Bhuvanesh Sundar , Peter Zoller

We introduce the \textit{Latent Entropy} (L-entropy) as a novel measure to characterize the genuine multipartite entanglement in quantum systems. Our measure leverages the upper bound of reflected entropy and its maximal values attained by…

High Energy Physics - Theory · Physics 2026-05-29 Jaydeep Kumar Basak , Vinay Malvimat , Junggi Yoon

The non-Abelian topological order has attracted a lot of attention for its fundamental importance and exciting prospect of topological quantum computation. However, explicit demonstration or identification of the non-Abelian states and the…

Strongly Correlated Electrons · Physics 2015-10-14 W. Zhu , S. S. Gong , F. D. M. Haldane , D. N. Sheng

We present a comprehensive study exploring the relationship between transport properties and measures of quantum entanglement in the Einstein-Maxwell-Axion-Horndeski theory. By using holographic duality, we study the entanglement measures,…

High Energy Physics - Theory · Physics 2023-11-10 Mu-Jing Li , Chong-Ye Chen , Chao Niu , Cheng-Yong Zhang , Peng Liu

Here we investigate the connection between topological order and the geometric entanglement, as measured by the logarithm of the overlap between a given state and its closest product state of blocks. We do this for a variety of…

Strongly Correlated Electrons · Physics 2014-10-28 Roman Orus , Tzu-Chieh Wei , Oliver Buerschaper , Maarten Van den Nest

Understanding the behaviour of topologically ordered lattice systems at finite temperature is a way of assessing their potential as fault-tolerant quantum memories. We compute the natural extension of the topological entanglement entropy…

Strongly Correlated Electrons · Physics 2013-05-29 S. Iblisdir , D. Perez-Garcia , M. Aguado , J. Pachos

In the expanding universe, two interacting fields are no longer in thermal contact when the interaction rate becomes smaller than the Hubble expansion rate. After decoupling, two subsystems are usually treated separately in accordance with…

High Energy Physics - Theory · Physics 2017-12-20 Yuichiro Nakai , Noburo Shiba , Masaki Yamada

Extensive theoretical and experimental investigations on multipartite systems close to an avoided energy-level crossing reveal interesting features such as the extremisation of entanglement. Conventionally, the estimation of entanglement…

Quantum Physics · Physics 2020-12-30 B. Sharmila , S. Lakshmibala , V. Balakrishnan

We explore the relation between entanglement entropy of quantum many body systems and the distribution of corresponding, properly selected, observables. Such a relation is necessary to actually measure the entanglement entropy. We show that…

Statistical Mechanics · Physics 2009-11-11 Israel Klich , Gil Refael , Alessandro Silva

Measuring entanglement entropy in interacting, multipartite systems remains a significant experimental challenge. We address this challenge by developing a protocol to measure von Neumann entropy (VNE) and mutual information in quantum…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Zhenhua Zhu , Gu Zhang , Dong E. Liu

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 entanglement entropy between (possibly distinct) topological phases across an interface using an Abelian Chern-Simons description with topological boundary conditions (TBCs) at the interface. From a microscopic point of view,…

Strongly Correlated Electrons · Physics 2017-11-09 Jackson R. Fliss , Xueda Wen , Onkar Parrikar , Chang-Tse Hsieh , Bo Han , Taylor L. Hughes , Robert G. Leigh

The electrodynamics of topological insulators (TIs) is described by modified Maxwell's equations, which contain additional terms that couple an electric field to a magnetization and a magnetic field to a polarization of the medium, such…

Strongly Correlated Electrons · Physics 2017-05-16 V. Dziom , A. Shuvaev , A. Pimenov , G. V. Astakhov , C. Ames , K. Bendias , J. Böttcher , G. Tkachov , E. M. Hankiewicz , C. Brüne , H Buhmann , L. W. Molenkamp

Uncertainty relations and quantum entanglement are pivotal concepts in quantum theory. Beyond their fundamental significance in shaping our understanding of the quantum world, they also underpin crucial applications in quantum information…

Quantum Physics · Physics 2023-12-18 Yundu Zhao , Shan Huang , Shengjun Wu

We obtain topological black hole solutions in scalar-tensor gravity with nonminimal derivative coupling between scalar and tensor components of gravity and power-law Maxwell field minimally coupled to gravity. The obtained solutions can be…

High Energy Physics - Theory · Physics 2019-02-20 M. M. Stetsko

Quantum Spin Liquids (QSLs) are phases of interacting spins that do not order even at the absolute zero temperature, making it impossible to characterize them by a local order parameter. In this article, we review the unique view provided…

Strongly Correlated Electrons · Physics 2013-02-06 Tarun Grover , Yi Zhang , Ashvin Vishwanath

Continuous-variable quantum thermodynamics in the Gaussian regime provides a promising framework for investigating the energetic role of quantum correlations, particularly in optical systems. In this work, we introduce an entropy-free…

Quantum Physics · Physics 2026-02-13 Beatriz Polo-Rodríguez , Federico Centrone , Gerardo Adesso , Mir Alimuddin

Entanglement is known to serve as an order parameter for true topological order in two-dimensional systems. We show how entanglement of disconnected partitions defines topological invariants for one-dimensional topological superconductors.…

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