English
Related papers

Related papers: Resolving spurious topological entanglement entrop…

200 papers

In the holographic framework, we argue that the partial entanglement entropy (PEE) can be explicitly interpreted as the component flow flux in a locking bit thread configuration. By applying the locking theorem of bit threads, and…

High Energy Physics - Theory · Physics 2021-11-10 Yi-Yu Lin , Jia-Rui Sun , Jun Zhang

We calculate exactly the von Neumann and topological entropies of the toric code as a function of system size and temperature. We do so for systems with infinite energy scale separation between magnetic and electric excitations, so that the…

Strongly Correlated Electrons · Physics 2007-11-30 C. Castelnovo , C. Chamon

Entanglement entropy~(EE) contains signatures of many universal properties of conformal field theories~(CFTs), especially in the presence of boundaries or defects. In particular, {\it topological} defects are interesting since they reflect…

High Energy Physics - Theory · Physics 2022-06-06 Ananda Roy , Hubert Saleur

Topological properties of quantum systems are one of the most intriguing emerging phenomena in condensed matter physics. A crucial property of topological systems is the symmetry-protected robustness towards local noise. Experiments have…

Quantum Physics · Physics 2022-12-05 Guliuxin Jin , Eliska Greplova

We explore the behaviour of the disconnected entanglement entropy (DEE) across the topological phases of a long range interacting Kitaev chain where the long range interactions decay as a power law with an exponent $\alpha$. We show that…

Statistical Mechanics · Physics 2022-02-08 Saikat Mondal , Souvik Bandyopadhyay , Sourav Bhattacharjee , Amit Dutta

The entanglement entropy in clean, as well as in random quantum spin chains has a logarithmic size-dependence at the critical point. Here, we study the entanglement of composite systems that consist of a clean and a random part, both being…

Disordered Systems and Neural Networks · Physics 2017-11-28 Robert Juhász , István A. Kovács , Gergő Roósz , Ferenc Iglói

We investigate the entanglement entropy (EE) of gapped S=1 and $S=1/2$ spin chains with dimerization. We find that the effective boundary degrees of freedom as edge states contribute significantly to the EE. For the $S=1/2$ dimerized…

Strongly Correlated Electrons · Physics 2007-07-10 Takaaki Hirano , Yasuhiro Hatsugai

In arXiv:2112.09122, we analyzed the reflected entropy ($S_R$) in random tensor networks motivated by its proposed duality to the entanglement wedge cross section (EW) in holographic theories, $S_R=2 \frac{EW}{4G}$. In this paper, we…

High Energy Physics - Theory · Physics 2023-02-01 Chris Akers , Thomas Faulkner , Simon Lin , Pratik Rath

The subleading corner logarithmic corrections in entanglement entropy (EE) are crucial for revealing universal characteristics of the quantum critical points (QCPs), but they are challenging to detect. Motivated by recent developments in…

Strongly Correlated Electrons · Physics 2025-03-31 Yuan Da Liao , Menghan Song , Jiarui Zhao , Zi Yang Meng

We investigate the entanglement entropy (EE) of circular entangling cuts in the 2+1-dimensional quantum Lifshitz model, whose ground state wave function is a spatially conformal invariant state of the Rokhsar-Kivelson type, whose weight is…

Statistical Mechanics · Physics 2016-09-15 Tianci Zhou , Xiao Chen , Thomas Faulkner , Eduardo Fradkin

We compute the Entanglement Entropy (EE) of a bipartition in 2D pure non-abelian $U(N)$ gauge theory. We obtain a general expression for EE on an arbitrary Riemann surface. We find that due to area-preserving diffeomorphism symmetry EE does…

High Energy Physics - Theory · Physics 2014-09-15 Andrey Gromov , Raul A. Santos

Entanglement of the two scattered particles is expected to occur in elastic collisions, even at high energy where they are in competition with inelastic ones. We study how to evaluate quantitatively the corresponding entanglement entropy…

High Energy Physics - Theory · Physics 2019-11-07 Robi Peschanski , Shigenori Seki

Entropic uncertainty relations (EURs) have been examined in various contexts, primarily in qubit systems, including their links with entanglement, as they subsume the Heisenberg uncertainty principle. With their genesis in the Shannon…

Quantum Physics · Physics 2023-06-21 Soumyabrata Paul , S. Lakshmibala , V. Balakrishnan , S. Ramanan

In continuous quantum field theories, the entanglement entropy of a subsystem with sharp corners on its boundary exhibits a universal corner-dependent contribution. We study this contribution through the lens of lattice discretization, and…

Quantum Physics · Physics 2026-05-29 Noa Feldman , Moshe Goldstein

We study the shape dependence of entanglement entropy (EE) by deforming symmetric entangling surfaces. We show that entangling surfaces with a rotational or translational symmetry extremize (locally) the EE with respect to shape…

High Energy Physics - Theory · Physics 2016-01-27 Dean Carmi

Motivated by the limited understanding of entanglement entropy in non-asymptotically AdS spacetimes, we develop a framework in which a circular string is embedded as a quantum probe in a spherically symmetric curved spacetime, and its…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Ai-chen Li , Xin-Fei Li , Xuanting Ji

Here we show 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, for the topological universality class of the…

Strongly Correlated Electrons · Physics 2012-05-11 Roman Orus , Tzu-Chieh Wei

We explore the relationship between higher-form symmetries and entanglement properties in discrete lattice gauge theories, which can exhibit both topologically ordered phases and higher-form symmetry-protected topological (SPT) phases. Our…

Strongly Correlated Electrons · Physics 2025-01-06 Wen-Tao Xu , Tibor Rakovszky , Michael Knap , Frank Pollmann

We investigate topological properties of Bi$_{1-x}$Sb$_{x}$ bilayers in the (111) plane using entanglement measures. Electronic structures are studied using multi-orbital tight-binding model, with structural stability confirmed through…

Mesoscale and Nanoscale Physics · Physics 2018-03-07 M. Brzezińska , M. Bieniek , T. Woźniak , P. Potasz , A. Wójs

In this paper, we study the entanglement entropy in string theory in the simplest setup of dividing the nine dimensional space into two halves. This corresponds to the leading quantum correction to the horizon entropy in string theory on…

High Energy Physics - Theory · Physics 2015-01-07 Song He , Tokiro Numasawa , Tadashi Takayanagi , Kento Watanabe