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We study the relative R\'enyi entropy (RRE) under local quenches in two-dimensional conformal field theories (CFTs), focusing on rational CFTs (RCFTs) and holographic CFTs. In RCFTs, the RRE evolves as a monotonic function over time,…

High Energy Physics - Theory · Physics 2025-12-22 Zi-Xuan Zhao , Song He , Hao Ouyang , Hong-an Zeng , Yu-Xuan Zhang

We study the single interval entanglement and relative entropies of conformal descendants in 2d CFT. Descendants contain non-trivial entanglement, though the entanglement entropy of the canonical primary in the free boson CFT contains no…

High Energy Physics - Theory · Physics 2022-02-23 Barsha G. Chowdhury , Justin R. David

We consider the entanglement entropy in 2d conformal field theory in a class of excited states produced by the insertion of a heavy local operator. These include both high-energy eigenstates of the Hamiltonian and time-dependent local…

High Energy Physics - Theory · Physics 2015-03-27 Curtis T. Asplund , Alice Bernamonti , Federico Galli , Thomas Hartman

We calculate analytically the R\'enyi bipartite entanglement entropy $S_{\alpha}$ of the ground state of $1+1$ dimensional conformal field theories (CFT) after performing a projective measurement in a part of the system. We show that the…

High Energy Physics - Theory · Physics 2016-08-03 M. A. Rajabpour

We study the entanglement entropy of theories that are derived from relevant perturbation of given CFTs for regions with a singular boundary by using the AdS/CFT correspondence. In the smooth case, it is well known that a relevant…

High Energy Physics - Theory · Physics 2019-02-26 Mostafa Ghasemi , Shahrokh Parvizi

We discuss the Renyi entanglement entropies of descendant states in critical one-dimensional systems with boundaries, that map to boundary conformal field theories in the scaling limit. We unify the previous conformal-field-theory…

Statistical Mechanics · Physics 2016-09-27 Luca Taddia , Fabio Ortolani , Tamás Pálmai

The R\'enyi entanglement entropy (REE) of the states excited by local operators in two-dimensional irrational conformal field theories (CFTs), especially in Liouville field theory (LFT) and $\mathcal{N}=1$ super-Liouville field theory…

High Energy Physics - Theory · Physics 2019-01-16 Song He

R\'enyi entropies, $S_n$, admit a natural generalization in the presence of global symmetries. These "charged R\'enyi entropies" are functions of the chemical potential $\mu$ conjugate to the charge contained in the entangling region and…

High Energy Physics - Theory · Physics 2022-07-20 Pablo Bueno , Pablo A. Cano , Ángel Murcia , Alberto Rivadulla Sánchez

We investigate the R\'enyi entropy and entanglement entropy of an interval with an arbitrary length in the canonical ensemble, microcanonical ensemble and primary excited states at large energy density in the thermodynamic limit of a…

High Energy Physics - Theory · Physics 2019-08-08 Wu-zhong Guo , Feng-Li Lin , Jiaju Zhang

We develop a nonequilibrium increment method to compute the R\'enyi entanglement entropy and investigate its scaling behavior at the deconfined critical (DQC) point via large-scale quantum Monte Carlo simulations. To benchmark the method,…

Strongly Correlated Electrons · Physics 2022-01-04 Jiarui Zhao , Yan-Cheng Wang , Zheng Yan , Meng Cheng , Zi Yang Meng

Understanding quantum entanglement in interacting higher-dimensional conformal field theories is a challenging task, as direct analytical calculations are often impossible to perform. With holographic entanglement entropy, calculations of…

High Energy Physics - Theory · Physics 2018-06-29 Alexander Jahn , Tadashi Takayanagi

In this paper we study the scaling of the correction of the Renyi entropy of the excited states in systems described, in the continuum limit, by a conformal field theory (CFT). These corrections scale as $L^{-\frac{2\Delta}{n}}$, where $L$…

Statistical Mechanics · Physics 2016-01-11 Lorenzo Cevolani

We use the techniques in symmetric orbifolding to calculate the Entanglement Entropy of a single interval in a two dimensional conformal field theory on a circle which is excited to a pure highest weight state. This is achieved by…

High Energy Physics - Theory · Physics 2012-08-17 Amir Esmaeil Mosaffa

Two-dimensional conformal field theories with extended $\cal{W}$-symmetry algebras have dual descriptions in terms of weakly coupled higher spin gravity in AdS$_3\,$ at large central charge. Observables that can be computed and compared in…

High Energy Physics - Theory · Physics 2018-10-09 Jan de Boer , Alejandra Castro , Eliot Hijano , Juan I. Jottar , Per Kraus

In this paper, we investigate the second and third pseudo R\'enyi entanglement entropies (PREE) for a locally excited state $| \psi \rangle $ and its time evolution $| \phi \rangle = e^{- i H t} | \psi \rangle$ in a two-dimensional…

High Energy Physics - Theory · Physics 2023-09-28 Farzad Omidi

The symmetry-resolved R\'enyi entanglement entropy is the R\'enyi entanglement entropy of each symmetry sector of a density matrix $\rho$. This experimentally relevant quantity is known to have rich theoretical connections to conformal…

Quantum Physics · Physics 2022-07-14 Nick G. Jones

In this work we consider the time evolution of charged Renyi entanglement entropies after exciting the vacuum with local fermionic operators. In order to explore the information contained in charged Renyi entropies, we perform computations…

High Energy Physics - Theory · Physics 2016-05-25 Pawel Caputa , Masahiro Nozaki , Tokiro Numasawa

For a conformal field theory (CFT) deformed by a relevant operator, the entanglement entropy of a ball-shaped region may be computed as a perturbative expansion in the coupling. A similar perturbative expansion exists for excited states…

High Energy Physics - Theory · Physics 2016-05-04 Antony J. Speranza

We analyze how excitations affect the entanglement entropy for an arbitrary entangling interval in a 2d conformal field theory (CFT) using the holographic entanglement entropy techniques as well as direct CFT computations. We introduce the…

High Energy Physics - Theory · Physics 2018-01-16 M. M. Sheikh-Jabbari , H. Yavartanoo

We study the relative entanglement entropies of one interval between excited states of a 1+1 dimensional conformal field theory (CFT). To compute the relative entropy $S(\rho_1 \| \rho_0)$ between two given reduced density matrices $\rho_1$…

High Energy Physics - Theory · Physics 2017-02-14 Paola Ruggiero , Pasquale Calabrese