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We discuss and compute entanglement entropy (EE) in (1+1)-dimensional free Lifshitz scalar field theories with arbitrary dynamical exponents. We consider both the subinterval and periodic sublattices in the discretized theory as subsystems.…

High Energy Physics - Theory · Physics 2018-04-25 Temple He , Javier M. Magan , Stefan Vandoren

We study different aspects of quantum entanglement and its measures, including entanglement entropy in the vacuum state of a certain Lifshitz scalar theory. We present simple intuitive arguments based on "non-local" effects of this theory…

High Energy Physics - Theory · Physics 2017-07-25 M. Reza Mohammadi Mozaffar , Ali Mollabashi

We study the short-distance structure of geometric entanglement entropy in certain theories with a built-in scale of nonlocality. In particular we examine the cases of Little String Theory and Noncommutative Yang-Mills theory, using their…

High Energy Physics - Theory · Physics 2009-11-19 Jose L. F. Barbon , Carlos A. Fuertes

The continuous Multi Scale Entanglement Renormalization Anstaz (cMERA) consists of a variational method which carries out a real space renormalization scheme on the wavefunctionals of quantum field theories. In this work we calculate the…

High Energy Physics - Theory · Physics 2021-09-21 Jose J. Fernandez-Melgarejo , Javier Molina-Vilaplana

We investigate the scaling of the bipartite entanglement entropy across Lifshitz quantum phase transitions, where the topology of the Fermi surface changes without any changes in symmetry. We present both numerical and analytical results…

Strongly Correlated Electrons · Physics 2013-03-26 Marlon Rodney , H. Francis Song , Sung-Sik Lee , Karyn Le Hur , Erik Sorensen

We investigate the entanglement entropy of a two-dimensional disordered system holographically. In particular, we study the evolution of the entanglement entropy along renormalization group flows for a conformal theory at the UV fixed…

High Energy Physics - Theory · Physics 2019-03-06 Rajesh Narayanan , Chanyong Park , Yun-Long Zhang

We compute holographic entanglement entropy in two strongly coupled nonlocal field theories: the dipole and the noncommutative deformations of SYM theory. We find that entanglement entropy in the dipole theory follows a volume law for…

High Energy Physics - Theory · Physics 2014-04-15 Joanna L. Karczmarek , Charles Rabideau

In this work we use cMERA, a continuous tensor network, to find a Gaussian approximation to the ground state of a $T\bar{T}$-deformed scalar CFT on the line, to first order in the deformation parameter. The result is used to find the…

High Energy Physics - Theory · Physics 2022-07-18 Biel Cardona , Javier Molina-Vilaplana

In this paper we continue the study of renormalized entanglement entropy introduced in [1]. In particular, we investigate its behavior near an IR fixed point using holographic duality. We develop techniques which, for any static holographic…

High Energy Physics - Theory · Physics 2015-06-17 Hong Liu , Márk Mezei

Assuming that the dominant contribution, to the entropy due to entanglement across a spherical hypersurface, comes from the near horizon degrees of freedom, we analytically derive the entropy of a free massless scalar field in Minkowski…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Suman Ghosh

We analyze various aspects of the recently proposed holographic theories with general dynamical critical exponent z and hyperscaling violation exponent $\theta$. We first find the basic constraints on $z, \theta$ from the gravity side, and…

High Energy Physics - Theory · Physics 2012-07-03 Xi Dong , Sarah Harrison , Shamit Kachru , Gonzalo Torroba , Huajia Wang

We studied the holographic entanglement entropy for a strip and sharp wedge entangling regions in momentum relaxation systems. In the case of strips, we found analytic and numerical results for the entanglement entropy and showed the effect…

High Energy Physics - Theory · Physics 2019-01-09 Kyung Kiu Kim , Chanyong Park , Jung Hun Lee , Byoungjoon Ahn

We use holographic duality to study the entanglement entropy (EE) of Conformal Field Theories (CFTs) in various spacetime dimensions $d$, in the presence of various deformations: a relevant Lorentz scalar operator with constant source, a…

High Energy Physics - Theory · Physics 2017-11-22 Nikola I. Gushterov , Andy O'Bannon , Ronnie Rodgers

We investigate the scaling of entanglement entropy in both the multi-scale entanglement renormalization ansatz (MERA) and in its generalization, the branching MERA. We provide analytical upper bounds for this scaling, which take the general…

Quantum Physics · Physics 2014-06-18 Glen Evenbly , Guifre Vidal

Entanglement entropy plays a variety of roles in quantum field theory, including the connections between quantum states and gravitation through the holographic principle. This article provides a review of entanglement entropy from a mixed…

High Energy Physics - Theory · Physics 2019-12-30 Tatsuma Nishioka

We study certain classes of $g_{++}$ deformations of theories arising in gauge/string realizations of nonrelativistic holography, some of which pertain to $z=2$ Lifshitz theories while others (pertaining to hyperscaling violation) comprise…

High Energy Physics - Theory · Physics 2015-04-29 K. Narayan

We investigate entanglement entropy in a scalar field theory on the fuzzy sphere. The theory is realized by a matrix model. In our previous study, we confirmed that entanglement entropy in the free case is proportional to the square of the…

High Energy Physics - Theory · Physics 2019-12-06 Mariko Suzuki , Asato Tsuchiya

The entanglement entropy in theories with a Fermi surface is known to produce a logarithmic violation of the usual area law behavior. We explore the possibility of producing this logarithmic violation holographically by analyzing the IR…

High Energy Physics - Theory · Physics 2015-06-03 Edgar Shaghoulian

We consider entanglement entropy in the context of gauge/gravity duality for conformal field theories in even dimensions. The holographic prescription due to Ryu and Takayanagi (RT) leads to an equation describing how the entangling surface…

High Energy Physics - Theory · Physics 2015-06-15 Arpan Bhattacharyya , Aninda Sinha

In the vacuum state of a CFT, the entanglement entropy of singular surfaces contains a logarithmic universal term which is only due to the singularity of the entangling surface. We consider the relevant perturbation of a three dimensional…

High Energy Physics - Theory · Physics 2018-03-14 Mostafa Ghasemi , Shahrokh Parvizi
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