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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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 2024-01-23 Miao He , Jue Hou , Yunfeng Jiang

All standard measures of bipartite entanglement in one-dimensional quantum field theories can be expressed in terms of correlators of branch point twist fields, here denoted by $\mathcal{T}$ and $\mathcal{T}^\dagger$. These are symmetry…

High Energy Physics - Theory · Physics 2023-03-15 Olalla A. Castro-Alvaredo , Michele Mazzoni

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…

High Energy Physics - Theory · Physics 2022-03-24 David X. Horvath , Pasquale Calabrese , Olalla A. Castro-Alvaredo

The study of $\mathrm{T}\overline{\mathrm{T}}$-perturbed quantum field theories is an active area of research with deep connections to fundamental aspects of the scattering theory of integrable quantum field theories, generalised Gibbs…

High Energy Physics - Theory · Physics 2023-08-31 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…

High Energy Physics - Theory · Physics 2009-12-08 Olalla A. Castro-Alvaredo , Benjamin Doyon

In this paper we study the simplest massive 1+1 dimensional integrable quantum field theory which can be described as a perturbation of a non-unitary minimal conformal field theory: the Lee-Yang model. We are particularly interested in the…

High Energy Physics - Theory · Physics 2015-09-07 Davide Bianchini , Olalla A. Castro-Alvaredo , Benjamin Doyon

In this paper we compute higher particle form factors of branch point twist fields. These fields were first described in the context of massive 1+1-dimensional integrable quantum field theories and their correlation functions are related to…

High Energy Physics - Theory · Physics 2011-07-22 Olalla A. Castro-Alvaredo , Emanuele Levi

In this paper, we apply the form factor bootstrap approach to branch point twist fields in the $q$-state Potts model for $q\leq 3$. For $q=3$ this is an integrable interacting quantum field theory with an internal discrete $\mathbb{Z}_3$…

High Energy Physics - Theory · Physics 2022-06-01 Luca Capizzi , Dávid X. Horváth , Pasquale Calabrese , Olalla A. Castro-Alvaredo

In this paper I propose a branch point twist field approach to computing a temporal entropy, that is, an entanglement measure across different time regions, as opposed to the usual spacial measures. I discuss how the shift to…

High Energy Physics - Theory · Physics 2026-03-24 Olalla A. Castro-Alvaredo

In recent years a considerable amount of attention has been devoted to the investigation of 2D quantum field theories perturbed by certain types of irrelevant operators. These are the composite field $\mathrm{T}\bar{\mathrm{T}}$ -…

High Energy Physics - Theory · Physics 2024-03-18 Olalla A. Castro-Alvaredo , Stefano Negro , Fabio Sailis

We consider the form factor bootstrap approach of integrable field theories to derive matrix elements of composite branch-point twist fields associated with symmetry resolved entanglement entropies. The bootstrap equations are determined in…

High Energy Physics - Theory · Physics 2021-09-30 Dávid X. Horváth , Pasquale Calabrese

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…

High Energy Physics - Theory · Physics 2017-09-12 Chen-Te Ma

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…

High Energy Physics - Theory · Physics 2011-01-25 Olalla A. Castro-Alvaredo , Benjamin Doyon

Well-known measures of entanglement in one-dimensional many body quantum systems, such as the entanglement entropy and the logarithmic negativity, may be expressed in terms of the correlation functions of local fields known as branch point…

High Energy Physics - Theory · Physics 2016-11-16 Davide Bianchini , Olalla A. Castro-Alvaredo

We extend the branch point twist field approach for the calculation of entanglement entropies to time-dependent problems in 1+1-dimensional massive quantum field theories. We focus on the simplest example: a mass quench in the Ising field…

High Energy Physics - Theory · Physics 2019-12-24 Olalla A. Castro-Alvaredo , Máté Lencsés , István M. Szécsényi , Jacopo Viti

We study the R\'enyi entanglement entropies along the massless renormalisation group flow that connects the tricritical and critical Ising field theories. Similarly to the massive integrable field theories, we derive a set of bootstrap…

High Energy Physics - Theory · Physics 2024-02-13 Federico Rottoli , Filiberto Ares , Pasquale Calabrese , Dávid X. Horváth

In this paper, we present a method to compute the minimal form factors (MFFs) of diagonal integrable field theories perturbed by generalized $T\bar{T}$ perturbations. Building on existing results by the same authors, these MFFs are…

High Energy Physics - Theory · Physics 2025-11-18 Fabio Sailis , Olalla A. Castro-Alvaredo , Stefano Negro

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…

Disordered Systems and Neural Networks · Physics 2024-07-18 Subrata Pachhal , Adhip Agarwala

In this short review we present the key definitions, ideas and techniques involved in the study of symmetry resolved entanglement measures, with a focus on the symmetry resolved entanglement entropy. In order to be able to define such…

High Energy Physics - Theory · Physics 2025-02-24 Olalla A. Castro-Alvaredo , Lucía Santamaría-Sanz
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