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We investigate how entangled states can be created by considering collections of point-particles arranged at different spatial configurations, i.e., Fock states with spatial constraints. This type of states can be realized in Hubbard chains…

Strongly Correlated Electrons · Physics 2020-05-27 Ioannis Kleftogiannis , Ilias Amanatidis

We study entanglement entropy (EE) in conformal field theories (CFTs) in Minkowski space with a planar boundary or with a planar defect of any codimension. In any such boundary CFT (BCFT) or defect CFT (DCFT), we consider the reduced…

High Energy Physics - Theory · Physics 2013-11-27 Kristan Jensen , Andy O'Bannon

In this paper we discuss the topics concerning the local excitation and coherent state in 2D CFT. It is shown that the local excitation of primary operator can be taken as a coherent state of the global conformal group. We also discuss the…

High Energy Physics - Theory · Physics 2015-12-15 Wu-Zhong Guo

We discuss conformal field theories (CFTs) in rectangular geometries, and develop a formalism that involves a conformal boundary state for the 1+1d open system. We focus on the case of homogeneous boundary conditions (no insertion of a…

Mathematical Physics · Physics 2012-05-17 Roberto Bondesan , Jerome Dubail , Jesper Lykke Jacobsen , Hubert Saleur

We introduce generalized pinning fields in conformal field theory that model a large class of critical impurities at large distance, enriching the familiar universality classes. We provide a rigorous definition of such defects as certain…

High Energy Physics - Theory · Physics 2025-04-09 Fedor K. Popov , Yifan Wang

To consider the entanglement between the spatial region $A$ and its complement in a QFT, we need to assign a Hilbert space $\mathcal{H}_A$ to the region, by making a certain choice on the boundary $\partial A$. We argue that a small…

High Energy Physics - Theory · Physics 2015-05-20 Kantaro Ohmori , Yuji Tachikawa

The study of conformal boundary conditions for two-dimensional conformal field theories (CFTs) has a long history, ranging from the description of impurities in one-dimensional quantum chains to the formulation of D-branes in string theory.…

High Energy Physics - Theory · Physics 2021-12-08 Scott Collier , Dalimil Mazac , Yifan Wang

Quantum many-body systems have a rich structure in the presence of boundaries. We study the groundstates of conformal field theories (CFTs) and Lifshitz field theories in the presence of a boundary through the lens of the entanglement…

Strongly Correlated Electrons · Physics 2022-09-07 Clément Berthiere , William Witczak-Krempa

We study entanglement entropy after a double local quench in two-dimensional conformal field theories (CFTs), with any central charge $c>1$. In the holographic CFT, such a state with double-excitation is dual to an AdS space with two…

High Energy Physics - Theory · Physics 2020-02-19 Yuya Kusuki , Masamichi Miyaji

Entanglement or modular Hamiltonians play a crucial role in the investigation of correlations in quantum field theories. In particular, in 1+1 space-time dimensions, the spectra of entanglement Hamiltonians of conformal field theories…

Statistical Mechanics · Physics 2020-08-06 Ananda Roy , Frank Pollmann , Hubert Saleur

The problem of the choice of tensor product decomposition in a system of two fermions with the help of Bogoliubov transformations of creation and annihilation operators is discussed. The set of physical states of the composite system is…

We study entanglement entropy of boundary states in a free bosonic conformal field theory. A boundary state can be thought of as composed of a particular combination of left and right-moving modes of the two-dimensional conformal field…

High Energy Physics - Theory · Physics 2015-06-22 Leopoldo A. Pando Zayas , Norma Quiroz

We study two-dimensional conformal field theories (CFTs) with boundaries via the conformal bootstrap. We derive a positive semi-definite program from crossing symmetry of three observables: the annulus partition function, the two-point…

High Energy Physics - Theory · Physics 2025-06-24 Marco Meineri , Bharathkumar Radhakrishnan

Boundary conformal field theory (BCFT) is the study of conformal field theory (CFT) on manifolds with a boundary. We can use conformal symmetry to constrain correlation functions of conformal invariant fields. We compute two-point and…

High Energy Physics - Theory · Physics 2012-09-11 M. R. Setare , V. Kamali

In this note, we study the first law of entanglement in a boundary conformal field theory (BCFT) dual to warped AdS cut off by a brane. Exploiting the symmetry of boundary-centered half-balls in the BCFT, and using Wald's covariant phase…

High Energy Physics - Theory · Physics 2020-04-22 Sean Cooper , Dominik Neuenfeld , Moshe Rozali , David Wakeham

We study entanglement in states of holographic CFTs defined by Euclidean path integrals over geometries with slowly varying metrics. In particular, our CFT spacetimes have $S^1$ fibers whose size $b$ varies along one direction ($x$) of an…

High Energy Physics - Theory · Physics 2016-09-19 Donald Marolf , Jason Wien

In this note, I revisit the problem of computing the entanglement entropy of a single interval in the ground state of a 2d CFT. I write the leading-order result in three different ways: once by doing the replica trick with the…

High Energy Physics - Theory · Physics 2021-10-25 Jennifer Lin

We compute the entanglement entropy in a 2+1 dimensional topological order in the presence of gapped boundaries. Specifically, we consider entanglement cuts that cut through the boundaries. We argue that based on general considerations of…

High Energy Physics - Theory · Physics 2020-01-08 Ce Shen , Jiaqi Lou , Ling-Yan Hung

We construct the complete set of boundary states of two-dimensional fermionic CFTs using that of the bosonic counterpart. We see that there are two groups of boundary conditions, which contributes to the open-string partition function by…

High Energy Physics - Theory · Physics 2021-11-24 Hiromi Ebisu , Masataka Watanabe

The main aim of this work is to relate integrability in QFT with a complete particle interpretation directly to the principle of causal localization, circumventing the standard method of finding sufficiently many conservation laws. Its…

Mathematical Physics · Physics 2012-12-03 Bert Schroer