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相关论文: Entanglement Entropy of Non-Unitary Integrable Qua…

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In this paper we compute the leading correction to the bipartite entanglement entropy at large sub-system size, in integrable quantum field theories with diagonal scattering matrices. We find a remarkably universal result, depending only on…

高能物理 - 理论 · 物理学 2011-01-27 J. L. Cardy , O. A. Castro-Alvaredo , B. Doyon

We calculate the $T\bar{T}$-deformed entanglement entropy for integrable quantum field theories (IQFTs) using the form factor bootstrap approach. We solve the form factor bootstrap axioms for the branch-point twist fields and obtain the…

高能物理 - 理论 · 物理学 2024-01-23 Miao He , Jue Hou , Yunfeng Jiang

In two recent papers we have proposed a program of study which allows us to compute the correlation functions of local and semi-local fields in generalised $\mathrm{T}\bar{\mathrm{T}}$-deformed integrable quantum field theories. This new…

高能物理 - 理论 · 物理学 2023-06-21 Olalla A. Castro-Alvaredo , Stefano Negro , Fabio Sailis

This manuscript is a review of the main results obtained in a series of papers involving the present authors and their collaborator J.L. Cardy over the last two years. In our work we have developed and applied a new approach for the…

高能物理 - 理论 · 物理学 2009-12-08 Olalla A. Castro-Alvaredo , Benjamin Doyon

In this letter we show that the R\'enyi entanglement entropy of a region of large size $\ell$ in a one-dimensional critical model whose ground state breaks conformal invariance (such as in those described by non-unitary conformal field…

高能物理 - 理论 · 物理学 2015-06-19 Davide Bianchini , Olalla A. Castro-Alvaredo , Benjamin Doyon , Emanuele Levi , Francesco Ravanini

We study universal features in the shape dependence of entanglement entropy in the vacuum state of a conformal field theory (CFT) on $\mathbb{R}^{1,d-1}$. We consider the entanglement entropy across a deformed planar or spherical entangling…

高能物理 - 理论 · 物理学 2016-04-22 Thomas Faulkner , Robert G. Leigh , Onkar Parrikar

Entanglement entropy has proven invaluable to our understanding of quantum criticality. It is natural to try to extend the concept to non-unitary quantum mechanics, which has seen growing interest from areas as diverse as open quantum…

统计力学 · 物理学 2017-08-02 Romain Couvreur , Jesper Lykke Jacobsen , Hubert Saleur

In this paper we give an exact infinite-series expression for the bi-partite entanglement entropy of the quantum Ising model both with a boundary magnetic field and in infinite volume. This generalizes and extends previous results involving…

高能物理 - 理论 · 物理学 2011-01-25 Olalla A. Castro-Alvaredo , Benjamin Doyon

Bipartite entanglement entropy of a segment with the length $l$ in $1+1$ dimensional conformal field theories (CFT) follows the formula $S=\frac{c}{3}\ln l+\gamma$, where $c$ is the central charge of the CFT and $\gamma$ is a cut-off…

高能物理 - 理论 · 物理学 2017-12-20 M. A. Rajabpour

We calculate analytically the R\'enyi bipartite entanglement entropy $S_{\alpha}$ of the ground state of $1+1$ dimensional conformal field theories (CFT) after performing a projective measurement in a part of the system. We show that the…

高能物理 - 理论 · 物理学 2016-08-03 M. A. Rajabpour

We study entanglement entropy in gravity theory with quantum effects. A simplest model is a two dimensional Einstein-Hilbert action . We use an $n$-sheet manifold to obtain an area term of entanglement entropy by summing over all background…

高能物理 - 理论 · 物理学 2017-09-12 Chen-Te Ma

We study the entanglement entropy of a region of length 2L with the remainder of an infinite one dimensional gapless quantum system in the case where the region is centered on a quantum impurity. The coupling to this impurity is not scale…

强关联电子 · 物理学 2013-11-08 Hubert Saleur , Peter Schmitteckert , Romain Vasseur

In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional $T\overline{T}$-deformed conformal field theory. For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT. We…

高能物理 - 理论 · 物理学 2018-11-07 Bin Chen , Lin Chen , Peng-xiang Hao

In these proceedings we give a pedagogical and non-technical introduction to the Quantum Field Theory approach to entanglement entropy. Particular attention is devoted to the one space dimensional case, with a linear dispersion relation,…

量子物理 · 物理学 2007-05-23 Pasquale Calabrese , John Cardy

For a conformal field theory (CFT) deformed by a relevant operator, the entanglement entropy of a ball-shaped region may be computed as a perturbative expansion in the coupling. A similar perturbative expansion exists for excited states…

高能物理 - 理论 · 物理学 2016-05-04 Antony J. Speranza

The entanglement entropy (EE) of quantum systems is often used as a test of low-energy descriptions by conformal field theory (CFT). Here we point out that this is not a reliable indicator, as the EE often shows the same behavior even when…

强关联电子 · 物理学 2017-08-02 Pranay Patil , Ying Tang , Emanuel Katz , Anders W. Sandvik

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ 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…

强关联电子 · 物理学 2008-11-26 Eduardo Fradkin , Joel E. Moore

In this work we provide a method to study the entanglement entropy for non-Gaussian states that minimize the energy functional of interacting quantum field theories at arbitrary coupling. To this end, we build a class of non-Gaussian…

高能物理 - 理论 · 物理学 2021-02-22 Jose J. Fernandez-Melgarejo , Javier Molina-Vilaplana

In this paper we continue the programme initiated in Part I, that is the study of entanglement measures in the sine-Gordon model. In both parts, we have focussed on one specific technique, that is the well-known connection between branch…

高能物理 - 理论 · 物理学 2022-03-24 David X. Horvath , Pasquale Calabrese , Olalla A. Castro-Alvaredo

Two-dimensional Yang-Mills theory is a useful model of an exactly solvable gauge theory with a string theory dual at large $N$. We calculate entanglement entropy in the $1/N$ expansion by mapping the theory to a system of $N$ fermions…

高能物理 - 理论 · 物理学 2020-05-20 William Donnelly , Sydney Timmerman , Nicolás Valdés-Meller
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