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Related papers: Two-Point Functions of Composite Twist Fields in t…

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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…

High Energy Physics - Theory · Physics 2023-06-21 Olalla A. Castro-Alvaredo , Stefano Negro , Fabio Sailis

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

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

We investigate a particular two-point function of the $n$-copy Ising model. That is, the correlation function $\vev{\E(r)\T(0)}$ involving the energy field and the branch-point twist field. The latter is associated to the symmetry of the…

High Energy Physics - Theory · Physics 2014-01-21 Emanuele Levi

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 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

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

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

We reconsider the computation of the entanglement entropy of two disjoint intervals in a (1+1) dimensional conformal field theory by conformal block expansion of the 4-point correlation function of twist fields. We show that accurate…

Statistical Mechanics · Physics 2019-03-26 Paola Ruggiero , Erik Tonni , Pasquale Calabrese

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

Twist fields are a powerful formal tool to compute R\'enyi entropies in quantum many-body systems, but their conventional formulation in tensor network states involves operations acting on virtual degrees of freedom, which are not directly…

Quantum Physics · Physics 2026-05-27 Andrea Bulgarelli , Marco Panero , Paolo Stornati , Luca Tagliacozzo

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 investigate the properties of the symmetry resolved entanglement entropy after a mass quench in the Ising field theory. Since the theory is free and the post-quench state known explicitly, the one-point function of the…

High Energy Physics - Theory · Physics 2025-07-17 Federico Rottoli , Michele Mazzoni , Fabio Sailis , Olalla A. Castro-Alvaredo

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

The scaling behavior of the entanglement entropy in the two-dimensional random transverse field Ising model is studied numerically through the strong disordered renormalization group method. We find that the leading term of the entanglement…

Disordered Systems and Neural Networks · Physics 2009-11-13 Rong Yu , Hubert Saleur , Stephan Haas

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

The entanglement entropy of a subsystem of a quantum system is expressed, in the replica approach, through analytic continuation with respect to n of the trace of the n-th power of the reduced density matrix. This trace can be thought of as…

High Energy Physics - Theory · Physics 2008-12-18 Michele Caraglio , Ferdinando Gliozzi

We study the two-point correlation functions and the bipartite entanglement in the ground state of the exactly-solvable variable-range extended Ising model of qubits in the presence of a transverse field on a one-dimensional lattice. We…

Quantum Physics · Physics 2026-04-28 Harikrishnan K J , Debasis Sadhukhan , Amit Kumar Pal

The notion of twist fields has played a fundamental role in many-body physics. It is used to construct the so-called disorder parameter for the study of phase transitions in the classical Ising model of statistical mechanics, it is involved…

Mathematical Physics · Physics 2025-09-19 Benjamin Doyon

This paper is designed to be a practical tool for constructing and investigating two-point correlation functions in defect conformal field theory, directly in physical space, between any two bulk primaries or between a bulk primary and a…

High Energy Physics - Theory · Physics 2021-05-12 Christopher P. Herzog , Abhay Shrestha
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