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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

A self-consisting gauge-theory approach to describe Dirac fermions on flexible surfaces with a disclination is formulated. The elastic surfaces are considered as embeddings into R^3 and a disclination is incorporated through a topologically…

介观与纳米尺度物理 · 物理学 2010-04-22 E. A. Kochetov , V. A. Osipov

Whenever a system possesses a conserved charge, the density matrix splits into eigenspaces associated to the each symmetry sector and we can access the entanglement entropy in a given subspace, known as symmetry resolved entanglement (SRE).…

高能物理 - 理论 · 物理学 2023-03-29 Alessandro Foligno , Sara Murciano , Pasquale Calabrese

An interface connecting two distinct conformal field theories hosts rich critical behaviors. In this work, we investigate the entanglement properties of such critical interface theories for probing the underlying universality. As inspired…

统计力学 · 物理学 2024-01-10 Qicheng Tang , Zixia Wei , Yin Tang , Xueda Wen , W. Zhu

Although the leading-order scaling of entanglement entropy is non-universal at a quantum critical point (QCP), sub-leading scaling can contain universal behaviour. Such universal quantities are commonly studied in non-interacting field…

强关联电子 · 物理学 2013-10-08 Stephen Inglis , Roger G. Melko

An entanglement Renyi entropy for a spatial partition of a system is studied in conformal theories which admit a dual description in terms of an anti-de Sitter gravity. The divergent part of the Renyi entropy is computed in 4D conformal N=4…

高能物理 - 理论 · 物理学 2015-06-03 Dmitri V. Fursaev

Measuring charge fluctuations within a subregion provides a powerful probe of quantum many-body systems. In two spatial dimensions, the shape dependence of the dimensionless corner contribution encodes universal data of quantum critical…

强关联电子 · 物理学 2026-05-15 Xiao-Chuan Wu , Pok Man Tam , Xuyang Liang , Zenan Liu , Dao-Xin Yao , Zheng Yan , Shinsei Ryu

We consider the situation when a globally defined four-dimensional field system is separated on two entangled sub-systems by a dynamical (random) two-dimensional surface. The reduced density matrix averaged over ensemble of random surfaces…

高能物理 - 理论 · 物理学 2015-06-03 Sergey N. Solodukhin

The symmetry-resolved R\'enyi entanglement entropy is the R\'enyi entanglement entropy of each symmetry sector of a density matrix $\rho$. This experimentally relevant quantity is known to have rich theoretical connections to conformal…

量子物理 · 物理学 2022-07-14 Nick G. Jones

Computing entanglement entropy and its cousins is often challenging even in the simplest continuum and lattice models, partly because such entropies depend nontrivially on all geometric characteristics of the entangling region. Quantum…

量子物理 · 物理学 2016-04-28 Mohammad F. Maghrebi

We employ the recent results on the generalization of the $c$-theorem to 2+1-d to derive non-perturbative results for strongly interacting quantum field theories, including QED-3 and the critical theory corresponding to certain quantum…

高能物理 - 理论 · 物理学 2014-04-15 Tarun Grover

The R\'enyi (Shannon) entropy, i.e. $Re_{\alpha}(Sh)$, of the ground state of quantum systems in local bases normally show a volume-law behavior. For a subsystem of quantum chains at critical point there is an extra logarithmic subleading…

统计力学 · 物理学 2022-06-10 Babak Tarighi , Reyhaneh Khasseh , M. N. Najafi , M. A. Rajabpour

We study the universal logarithmic coefficient of the entanglement entropy (EE) in a sphere for free fermionic field theories in a $d=4$ Minkowski spacetime. As a warm-up, we revisit the free massless spin-$1/2$ field case by employing a…

高能物理 - 理论 · 物理学 2024-01-11 Valentin Benedetti , Lucas Daguerre

We develop a nonequilibrium increment method to compute the R\'enyi entanglement entropy and investigate its scaling behavior at the deconfined critical (DQC) point via large-scale quantum Monte Carlo simulations. To benchmark the method,…

强关联电子 · 物理学 2022-01-04 Jiarui Zhao , Yan-Cheng Wang , Zheng Yan , Meng Cheng , Zi Yang Meng

We study a model of spinless fermions with infinite nearest-neighbor repulsion on the square ladder which has microscopic supersymmetry. It has been conjectured that in the continuum the model is described by the superconformal minimal…

强关联电子 · 物理学 2013-05-06 Bela Bauer , Liza Huijse , Erez Berg , Matthias Troyer , Kareljan Schoutens

Explicit polynomial forms for R\'enyi and entanglement entropies are given on even --dimensional spheres which possess a codimension--2 U(1) monodromy defect. Free scalar and Dirac fields are treated and higher-derivative propagation…

高能物理 - 理论 · 物理学 2022-01-21 J. S. Dowker

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

We study the bipartite entanglement entropy of the two-dimensional (2D) transverse-field Ising model in the thermodynamic limit using series expansion methods. Expansions are developed for the Renyi entropy around both the small-field and…

统计力学 · 物理学 2012-09-19 Rajiv R. P. Singh , Roger G. Melko , Jaan Oitmaa

We derive closed-form asymptotic formulas for the R\'enyi entanglement entropies of the open XX spin-$1/2$ chain by mapping the underlying determinant of the boundary correlation matrix (which has Toeplitz-plus-Hankel structure) to a Hankel…

统计力学 · 物理学 2026-04-08 Miguel Tierz

We consider a fermion gas on a star graph modeling a quantum wire junction and derive the entanglement entropy of one edge with respect to the rest of the junction. The gas is free in the bulk of the graph, the interaction being localized…

统计力学 · 物理学 2012-02-28 Pasquale Calabrese , Mihail Mintchev , Ettore Vicari