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Related papers: Positivity, negativity, and entanglement

200 papers

We identify various universal contributions to the entanglement entropy for massive free fields. As well as the `area' terms found in [1], we find other geometric contributions of the form discussed in [2]. We also compute analogous…

High Energy Physics - Theory · Physics 2015-06-11 Aitor Lewkowycz , Robert C. Myers , Michael Smolkin

We continue the study of entanglement entropy for a QFT through a perturbative expansion of the path integral definition of the reduced density matrix. The universal entanglement entropy for a CFT perturbed by a relevant operator is…

High Energy Physics - Theory · Physics 2015-06-23 Vladimir Rosenhaus , Michael Smolkin

The entanglement entropy (EE) can measure the entanglement between a spatial subregion and its complement, which provides key information about quantum states. Here, rather than focusing on specific regions, we study how the entanglement…

Strongly Correlated Electrons · Physics 2019-02-21 William Witczak-Krempa

We consider entanglement negativity for two disjoint intervals in 1+1 dimensional CFT in the limit of large central charge. As the two intervals get close, the leading behavior of negativity is given by the logarithm of the conformal block…

High Energy Physics - Theory · Physics 2015-06-22 Manuela Kulaxizi , Andrei Parnachev , Giuseppe Policastro

Negativity is an entanglement monotone frequently used to quantify entanglement in bipartite states. Because negativity is a non-analytic function of a density matrix, existing methods used in the physics literature are insufficient to…

Quantum Physics · Physics 2019-01-17 Jesse C. Cresswell , Ilan Tzitrin , Aaron Z. Goldberg

We study the entanglement entropy of random partitions in one- and two-dimensional critical fermionic systems. In an infinite system we consider a finite, connected (hypercubic) domain of linear extent $L$, the points of which with…

Disordered Systems and Neural Networks · Physics 2022-02-18 Gergö Roósz , István A. Kovács , Ferenc Iglói

Entanglement entropy appears as a central property of quantum systems in broad areas of physics. However, its precise value is often sensitive to unknown microphysics, rendering it incalculable. By considering parametric dependence on…

High Energy Physics - Theory · Physics 2011-02-09 Mark P. Hertzberg , Frank Wilczek

We study the scaling properties of the ground-state entanglement between finite subsystems of infinite two-dimensional free lattice models, as measured by the logarithmic negativity. For adjacent regions with a common boundary, we observe…

Statistical Mechanics · Physics 2016-04-01 Viktor Eisler , Zoltán Zimborás

A quantum critical (QC) fluid exhibits universal subleading corrections to the area law of its entanglement entropies. In two dimensions when the partition involves a corner of angle $\theta$, the subleading term is logarithmic with…

Strongly Correlated Electrons · Physics 2016-09-28 Johannes Helmes , Lauren E. Hayward Sierens , Anushya Chandran , William Witczak-Krempa , Roger G. Melko

Topologically-ordered phases of matter at non-zero temperature are conjectured to exhibit universal patterns of long-range entanglement which may be detected by a mixed-state entanglement measure known as entanglement negativity. We show…

Strongly Correlated Electrons · Physics 2026-05-28 Tsung-Cheng Lu , Sagar Vijay

We provide a derivation of holographic entanglement entropy for spherical entangling surfaces. Our construction relies on conformally mapping the boundary CFT to a hyperbolic geometry and observing that the vacuum state is mapped to a…

High Energy Physics - Theory · Physics 2011-05-12 Horacio Casini , Marina Huerta , Robert C. Myers

Both reflected entropy and entanglement negativity provide valid measures of entanglement between subsystems of a mixed state. For general 2D eternal black holes coupled with CFT matters in large $c$ limit, we perform the replica-trick…

High Energy Physics - Theory · Physics 2022-07-29 Jiong Lin , Yizhou Lu

We establish the large central charge behaviour of the entanglement negativity for a mixed state configuration of a single interval enclosed between two intervals in a holographic $CFT_{1+1}$. To this end we utilize the monodromy technique…

High Energy Physics - Theory · Physics 2021-05-12 Vinay Malvimat , Gautam Sengupta

We study the entanglement behavior of a random unitary circuit punctuated by projective measurements at the measurement-driven phase transition in one spatial dimension. We numerically study the logarithmic entanglement negativity of two…

Statistical Mechanics · Physics 2021-08-31 Bowen Shi , Xin Dai , Yuan-Ming Lu

We study holographic entanglement entropy for certain logarithmic conformal field theories by making use of their gravity descriptions. The corresponding gravity descriptions are provided by higher derivative gravity at critical points…

High Energy Physics - Theory · Physics 2014-05-14 Mohsen Alishahiha , Amin Faraji Astaneh , M. Reza Mohammadi Mozaffar

In this article, we explore the divergences and universal terms of the holographic entanglement entropy for singular regions in anisotropic and nonconformal theories that are holographically dual to geometries with a hyperscaling violation,…

High Energy Physics - Theory · Physics 2022-10-25 Mostafa Ghasemi , Shahrokh Parvizi

In the framework of the AdS/CFT correspondence, imposing a scalar field in the bulk space-time leads to deform the corresponding CFT in the boundary, which may produce corrections to entanglement entropy, as well as the so-called subregion…

High Energy Physics - Theory · Physics 2019-07-24 Elaheh Bakhshaei , Ahmad Shirzad

We investigate mixed state entanglement measures of entanglement negativity and reflected entropy for bipartite states in two dimensional conformal field theories with an anomaly through appropriate replica techniques. Furthermore we…

High Energy Physics - Theory · Physics 2022-06-24 Debarshi Basu , Himanshu Parihar , Vinayak Raj , Gautam Sengupta

In arXiv:1501.03019 [hep-th], the areas of certain complex extremal surfaces in de Sitter space were found to have resemblance with entanglement entropy in appropriate dual Euclidean non-unitary CFTs, with the area being real and negative…

High Energy Physics - Theory · Physics 2016-08-10 K. Narayan

We study the loss of entanglement of bipartite state subjected to discarding or measurement of one qubit. Examining the behavior of different entanglement measures, we find that entanglement of formation, entanglement cost, and logarithmic…

Quantum Physics · Physics 2009-11-10 Karol Horodecki , Michal Horodecki , Pawel Horodecki , Jonathan Oppenheim