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We study the scaling of the Renyi entanglement entropy of two disjoint blocks of critical lattice models described by conformal field theories with central charge c=1. We provide the analytic conformal field theory result for the second…

Statistical Mechanics · Physics 2015-03-19 Vincenzo Alba , Luca Tagliacozzo , Pasquale Calabrese

We examine the temporal evolution of the modular entropy and capacity (in particular, the fluctuation of the entanglement entropy) for systems of time-dependent oscillators coupled by a (time-dependent) parameter. Such models, through the…

High Energy Physics - Theory · Physics 2023-12-25 K. Andrzejewski

In a remarkable paper [Phys. Rev. Lett. 96, 100503 (2006)], Dimitri Gioev and Israel Klich conjectured an explicit formula for the leading asymptotic growth of the spatially bi-partite von-Neumann entanglement entropy of non-interacting…

Mathematical Physics · Physics 2015-03-03 Hajo Leschke , Alexander V. Sobolev , Wolfgang Spitzer

We investigate various aspects of capacity of entanglement in certain setups whose entanglement entropy becomes extensive and obeys a volume law. In particular, considering geometric decomposition of the Hilbert space, we study this measure…

High Energy Physics - Theory · Physics 2024-09-20 M. Reza Mohammadi Mozaffar

R\'enyi entanglement entropy provides a new window to study the AdS/CFT correspondence. In this paper we consider the short interval expansion of R\'enyi entanglement entropy in two-dimensional conformal field theory. This amounts to do the…

High Energy Physics - Theory · Physics 2013-12-19 Bin Chen , Jia-ju Zhang

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 note, we consider entanglement and Renyi entropies for spatial subsystems of a boundary conformal field theory (BCFT) or of a CFT in a state constructed using a Euclidean BCFT path integral. Holographic calculations suggest that…

High Energy Physics - Theory · Physics 2021-03-31 James Sully , Mark Van Raamsdonk , David Wakeham

We generalize the topological entanglement entropy to a family of topological Renyi entropies parametrized by a parameter alpha, in an attempt to find new invariants for distinguishing topologically ordered phases. We show that,…

Strongly Correlated Electrons · Physics 2010-01-05 Steven T. Flammia , Alioscia Hamma , Taylor L. Hughes , Xiao-Gang Wen

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

We study the entanglement entropy in a relativistic quantum field theory for regions which are not included in a single spatial hyperplane. This geometric configuration cannot be treated with the Euclidean time method and the replica trick.…

High Energy Physics - Theory · Physics 2011-09-30 David D. Blanco , Horacio Casini

We investigate how entanglement spreads in time-dependent states of a 1+1 dimensional conformal field theory (CFT). The results depend qualitatively on the value of the central charge. In rational CFTs, which have central charge below a…

High Energy Physics - Theory · Physics 2015-10-07 Curtis T. Asplund , Alice Bernamonti , Federico Galli , Thomas Hartman

We study "field space entanglement" in certain quantum field theories consisting of N number of free scalar fields interacting with each other via kinetic mixing terms. We present exact analytic expressions for entanglement end Renyi…

High Energy Physics - Theory · Physics 2016-03-23 M. Reza Mohammadi Mozaffar , Ali Mollabashi

The Renyi entropies as a generalization of the entanglement entropy imply much more information. We analytically calculate the Renyi entropies (with a spherical entangling surface) by means of a class of neutral hyperbolic black holes with…

High Energy Physics - Theory · Physics 2023-08-16 Xiaoxuan Bai , Jie Ren

We study the entanglement properties of non-Hermitian free fermionic models with translation symmetry using the correlation matrix technique. Our results show that the entanglement entropy has a logarithmic correction to the area law in…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 Yi-Bin Guo , Yi-Cong Yu , Rui-Zhen Huang , Li-Ping Yang , Run-Ze Chi , Hai-Jun Liao , Tao Xiang

Inspired by the experimental measurement of the Renyi entanglement entropy in a lattice of ultracold atoms by Islam et al., [Nature 528, 77 (2015)] we propose a method to entangle two spatially-separated qubits using the quantum many-body…

Quantum Gases · Physics 2016-05-02 R. G. Melko , C. M. Herdman , D. Iouchtchenko , P. -N. Roy , A. Del Maestro

We evaluate one-interval R\'enyi entropy and entanglement entropy for the excited states of two-dimensional conformal field theory (CFT) on a cylinder, and examine their differences from the ones for the thermal state. We assume the…

High Energy Physics - Theory · Physics 2016-11-29 Feng-Li Lin , Huajia Wang , Jia-ju Zhang

We consider the symmetry resolved R\'enyi entropies in the one dimensional tight binding model, equivalent to the spin-1/2 XX chain in a magnetic field. We exploit the generalised Fisher-Hartwig conjecture to obtain the asymptotic behaviour…

Statistical Mechanics · Physics 2020-01-08 Riccarda Bonsignori , Paola Ruggiero , Pasquale Calabrese

We compute the pseudo entropy in two-dimensional holographic and free Dirac fermion CFTs for excited states under joining local quenches. Our analysis reveals two of its characteristic properties that are missing in the conventional…

High Energy Physics - Theory · Physics 2024-02-20 Kotaro Shinmyo , Tadashi Takayanagi , Kenya Tasuki

We investigate the question of whether the entropy and the Renyi entropies of the vacuum state reduced to a region of the space can be represented in terms of correlators in quantum field theory. In this case, the positivity relations for…

Quantum Physics · Physics 2014-11-20 H. Casini

We perform quantum Monte Carlo calculations to determine how the Renyi entropies, $S_n$, of the interacting Fermi liquid depend on Renyi order, $n$, and scale as a function of system size, $L$. Using the swap operator and an accurate…

Strongly Correlated Electrons · Physics 2013-03-05 Jeremy McMinis , Norm M. Tubman
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