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We report a throughout analysis of the entanglement entropies related to different symmetry sectors in the low-lying primary excited states of a conformal field theory (CFT) with an internal U(1) symmetry. Our findings extend recent results…

Statistical Mechanics · Physics 2020-07-28 Luca Capizzi , Paola Ruggiero , Pasquale Calabrese

We present a framework to study the entanglement structure of a quantum field theory inspired by the formalism of particle detectors in relativistic quantum information. This framework can in principle be used to faithfully capture…

Bipartite entanglement entropies are calculated for the ground state of the two-excitation subspace in a two-site coupled cavity model. Each region in the phase diagram (atomic insulator, polaritonic insulator, photonic superfluid, and…

Quantum Physics · Physics 2013-05-29 E. K. Irish

We show that all lowest Landau level projected and unprojected chiral parton type fractional quantum Hall ground and edge state trial wave functions, which take the form of products of integer quantum Hall wave functions, can be expressed…

Strongly Correlated Electrons · Physics 2024-06-11 Greg J. Henderson , G. J. Sreejith , Steven H. Simon

We consider toroidal compactifications of bosonic string theory with particular regard to the phases (cocycles) necessary for a consistent definition of the vertex operators, the boundary states and the T-duality rules. We use these…

High Energy Physics - Theory · Physics 2009-06-11 Dario Duo , Rodolfo Russo , Stefano Sciuto

The use of finite entanglement scaling with matrix product states (MPS) has become a crucial tool for studying 1+1d critical lattice theories, especially those with emergent conformal symmetry. We argue that finite entanglement introduces a…

Strongly Correlated Electrons · Physics 2024-03-08 Rui-Zhen Huang , Long Zhang , Andreas M. Läuchli , Jutho Haegeman , Frank Verstraete , Laurens Vanderstraeten

We study one-dimensional spin-1/2 models in which strict confinement of Ising domain walls leads to the fragmentation of Hilbert space into exponentially many disconnected subspaces. Whereas most previous works emphasize dipole moment…

Strongly Correlated Electrons · Physics 2020-05-26 Zhi-Cheng Yang , Fangli Liu , Alexey V. Gorshkov , Thomas Iadecola

We consider the Bethe ansatz solution of integrable models interacting through factorized $S$-matrices based on the central extention of the $\bf{su}(2|2)$ symmetry. The respective $\bf{su}(2|2)$ $R$-matrix is explicitly related to that of…

High Energy Physics - Theory · Physics 2008-11-26 M. J. Martins , C. S. Melo

We study a model of 2D QFT with boundary interaction, in which two-component massless Bose field is constrained to a circle at the boundary. We argue that this model is integrable at two values of the topological angle, $\theta =0$ and…

High Energy Physics - Theory · Physics 2011-02-16 S. L. Lukyanov , A. B. Zamolodchikov

Detailed analysis of behavior of spin-entangled particle pairs under arbitrary rotations in their Hilbert space has been performed. It shows a rich range of varieties (faces) of entanglement in different bases. Analytic criteria are…

Quantum Physics · Physics 2019-01-03 Moses Fayngold

We identify conditions for the entanglement entropy as a function of spatial region to be compatible with causality in an arbitrary relativistic quantum field theory. We then prove that the covariant holographic entanglement entropy…

High Energy Physics - Theory · Physics 2015-06-22 Matthew Headrick , Veronika E. Hubeny , Albion Lawrence , Mukund Rangamani

Motivated by the problem of background independence of closed string field theory we study geometry on the infinite vector bundle of local fields over the space of conformal field theories (CFT's). With any connection we can associate an…

High Energy Physics - Theory · Physics 2009-10-22 K. Ranganathan , H. Sonoda , B. Zwiebach

Using the AdS/CFT correspondence, we probe the scale-dependence of thermalization in strongly coupled field theories following a quench, via calculations of two-point functions, Wilson loops and entanglement entropy in d=2,3,4. In the…

The equivalent of fusion in boundary conformal field theory (CFT) can be realized quite simply in the context of lattice models by essentially glueing two open spin chains. This has led to many developments, in particular in the context of…

High Energy Physics - Theory · Physics 2022-11-29 Azat M. Gainutdinov , Jesper L. Jacobsen , Hubert Saleur

This is an invited contribution to the 2nd edition of the Encyclopedia of Mathematical Physics. We review the following algebraic structures which appear in two-dimensional conformal field theory (CFT): The symmetries of two-dimensional…

Quantum Algebra · Mathematics 2024-12-05 Jürgen Fuchs , Christoph Schweigert , Simon Wood , Yang Yang

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

We present a new approach to the analysis of entanglement in smooth bipartite continuous-variable states. One or both parties perform projective filterings via preliminary measurements to determine whether the system is located in some…

Quantum Physics · Physics 2009-11-13 H. -C. Lin , A. J. Fisher

B-type D-branes are constructed on two different K3-fibrations over IP_1 using boundary conformal field theory at the rational Gepner points of these models. The microscopic CFT charges are compared with the Ramond charges of D-branes…

High Energy Physics - Theory · Physics 2008-11-26 P. Kaste , W. Lerche , C. A. Lutken , J. Walcher

In this article, we make a gauge theory from the Open p-brane system and map it into the Open 2-brane one. Due to the presence of second class constraints in this model, we encounter some problems during the procedure of quantization. In…

High Energy Physics - Theory · Physics 2015-12-31 Fahimeh Sarvi , Majid Monemzadeh , Salman Abarghouei Nejad

In closed systems, dynamical symmetries lead to conservation laws. However, conservation laws are not applicable to open systems that undergo irreversible transformations. More general selection rules are needed to determine whether, given…

Quantum Physics · Physics 2013-03-19 Borzu Toloui , Gilad Gour