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The entanglement theory in quantum systems with internal symmetries is rich due to the spontaneous creation of entangled pairs of charge/anti-charge particles at the entangling surface. We call these pair creation operators the bi-local…

高能物理 - 理论 · 物理学 2022-01-31 Keiichiro Furuya , Nima Lashkari , Shoy Ouseph

We consider conformal field theories around points of large twist degeneracy. Examples of this are theories with weakly broken higher spin symmetry and perturbations around generalised free fields. At the degenerate point we introduce twist…

高能物理 - 理论 · 物理学 2017-09-20 Luis F. Alday

We present a new method to identify the Boundary Conformal Field Theories (BCFTs) describing the critical points of the Ising model on the strip. It consists in measuring the low-lying excitation energies spectra of its quantum spin chain…

统计力学 · 物理学 2013-02-05 Smain Balaska , Nahed Sihem Bounoua

We study the entanglement and Renyi entropies of two disjoint intervals in minimal models of conformal field theory. We use the conformal block expansion and fusion rules of twist fields to define a systematic expansion in the elliptic…

高能物理 - 理论 · 物理学 2015-06-03 M. A. Rajabpour , F. Gliozzi

The Potts conformal field theory is an analytic continuation in the central charge of conformal field theory describing the critical two-dimensional $Q$-state Potts model. Four-point functions of the Potts conformal field theory are…

高能物理 - 理论 · 物理学 2023-06-14 Rongvoram Nivesvivat

In this talk I discuss the form factor approach used to compute correlation functions of integrable models in two dimensions. The Sinh-Gordon model is our basic example. Using Watson's and the recursive equations satisfied by matrix…

高能物理 - 理论 · 物理学 2007-05-23 G. Mussardo

We present a non-perturbative method through which local probes can access the two-point function of a quantum field within a region of spacetime. By considering a lattice of gapless particle detectors, we identified the probe observables…

量子物理 · 物理学 2026-05-20 Sebastian Holmén , T. Rick Perche

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 $\mathbb{Z}_3$…

高能物理 - 理论 · 物理学 2022-06-01 Luca Capizzi , Dávid X. Horváth , Pasquale Calabrese , Olalla A. Castro-Alvaredo

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

I discuss the von Neumann entanglement entropy in two-dimensional quantum Lifshitz criical point, namely in Rokhsar-Kivelson type critical wavefunctions. I follow the approach proposed by B. Hsu et al. [Phys. Rev. B 79, 115421 (2009)], but…

统计力学 · 物理学 2010-07-23 Masaki Oshikawa

In this paper we study one-dimensional conformal field theory at finite temperature dual to the two-dimensional anti-de Sitter spacetime in the Rindler coordinates. We show that conformal symmetry for thermal two-point functions manifests…

高能物理 - 理论 · 物理学 2016-11-04 Satoshi Ohya

We carry out a numerical study of the bi-partite entanglement entropy in the gapped regime of two paradigmatic quantum spin chain models: the Ising chain in an external magnetic field and the anti-ferromagnetic XXZ model. The universal…

高能物理 - 理论 · 物理学 2013-10-30 Emanuele Levi , Olalla A. Castro-Alvaredo , Benjamin Doyon

We derive non-linear differential equations for correlation functions of U(1) twist fields in the two-dimensional massive Dirac theory. Primary U(1) twist fields correspond to exponential fields in the sine-Gordon model at the free-fermion…

高能物理 - 理论 · 物理学 2011-06-21 Benjamin Doyon , James Silk

Quantum sinh-Gordon model in 1+1 dimensions is one of the simplest and best-studied massive integrable relativistic quantum field theories. We consider this theory on a multi-sheeted Riemann surfaces with a flat metric, which can be seen as…

高能物理 - 理论 · 物理学 2026-02-17 Michael Lashkevich , Amir Nesturov

We study the effects of measurements, performed with a finite density in space, on the ground state of the one-dimensional transverse-field Ising model at criticality. Local degrees of freedom in critical states exhibit long-range…

统计力学 · 物理学 2023-06-29 Zack Weinstein , Rohith Sajith , Ehud Altman , Samuel J. Garratt

Using $U_q[SU(2)]$ tensor calculus we compute the two-point scalar operators (TPSO), their averages on the ground-state give the two-point correlation functions. The TPSOs are identified as elements of the Temperley-Lieb algebra and a…

高能物理 - 理论 · 物理学 2009-10-22 H. Hinrichsen , P. P. Martin , V. Rittenberg , M. Scheunert

The self-duality of the transverse-field Ising model is an archetype for dualities that, alongside symmetry and topology, are used as an organizing principle throughout modern physics. This duality, however, is not exact. The original and…

强关联电子 · 物理学 2026-05-14 José Dupont , Jasper van Wezel

We generalise the form factor bootstrap approach to integrable field theories with U(1) symmetry to derive matrix elements of composite branch-point twist fields associated with symmetry resolved entanglement entropies. The bootstrap…

高能物理 - 理论 · 物理学 2021-09-30 David X. Horvath , Luca Capizzi , Pasquale Calabrese

A process that images or measures bond energies in the critical Ising model can be in distinct measurement ``phases'', depending on the precision of measurement. We study the transition into the strong-measurement phase using replica field…

统计力学 · 物理学 2026-04-28 Kay Joerg Wiese , Alapan Das , Adam Nahum

The role of two-point and multipartite entanglement at quantum phase transitions (QPTs) in correlated electron systems is investigated. We consider a bond-charge extended Hubbard model exactly solvable in one dimension which displays…

强关联电子 · 物理学 2009-11-11 Alberto Anfossi , Paolo Giorda , Arianna Montorsi