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We construct and analytically compute entanglement and the R\'enyi entropies of Dirac fermions on a 2 dimensional torus in the presence of background chemical potential, current source and Wilson loop, by employing correlation functions of…

High Energy Physics - Theory · Physics 2018-08-31 Bom Soo Kim

We study both entanglement and the R\'enyi entropies for the 2 dimensional massless Dirac fermions in the presence of topological Wilson loops, which are qualitatively different from those with a chemical potential and a current source. In…

High Energy Physics - Theory · Physics 2019-10-07 Bom Soo Kim

We study the entanglement entropy, the R\'enyi entropy, and the mutual (R\'enyi) information of Dirac fermions on a 2 dimensional torus in the presence of constant gauge fields. We derive their general formulas using the equivalence between…

High Energy Physics - Theory · Physics 2018-08-31 Bom Soo Kim

The topological R\'enyi and entanglement entropies depend on the bipartition of the manifold and the choice of the ground states. However, these entanglement quantities remain invariant under a coordinate transformation when the bipartition…

Strongly Correlated Electrons · Physics 2024-02-21 Chih-Yu Lo , Po-Yao Chang

We introduce a pseudo entropy extension of topological entanglement entropy called topological pseudo entropy. Various examples of the topological pseudo entropies are examined in three-dimensional Chern-Simons gauge theory with Wilson loop…

High Energy Physics - Theory · Physics 2021-09-08 Tatsuma Nishioka , Tadashi Takayanagi , Yusuke Taki

We investigate the ground state of a (1+1)-dimensional conformal field theory built with $M$ species of massless free Dirac fermions coupled at one boundary point via a conformal junction/interface. Each CFT represents a wire of finite…

High Energy Physics - Theory · Physics 2022-09-21 Luca Capizzi , Sara Murciano , Pasquale Calabrese

We consider single interval R\'enyi and entanglement entropies for a two dimensional conformal field theory on a circle at nonzero temperature. Assuming that the finite size of the system introduces a unique ground state with a nonzero mass…

High Energy Physics - Theory · Physics 2014-05-07 John Cardy , Christopher P. Herzog

In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional $T\overline{T}$-deformed conformal field theory. For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT. We…

High Energy Physics - Theory · Physics 2018-11-07 Bin Chen , Lin Chen , Peng-xiang Hao

We introduce a systematic framework to calculate the bipartite entanglement entropy of a compact spatial subsystem in a one-dimensional quantum gas which can be mapped into a noninteracting fermion system. We show that when working with a…

Statistical Mechanics · Physics 2015-05-28 Pasquale Calabrese , Mihail Mintchev , Ettore Vicari

Entanglement (Renyi) entropies of spatial regions are a useful tool for characterizing the ground states of quantum field theories. In this paper we investigate the extent to which these are universal quantities for a given theory, and to…

High Energy Physics - Theory · Physics 2013-03-18 Matthew Headrick , Albion Lawrence , Matthew M. Roberts

The Renyi entropies of a massless Dirac fermion on a circle with chemical potential are calculated analytically at nonzero temperature by using the bosonization method. The bosonization of a massive Dirac fermion to the sine-Gordon model…

High Energy Physics - Theory · Physics 2015-06-12 Christopher P. Herzog , Tatsuma Nishioka

We characterize non-perturbatively the R\'enyi entropies of degree n=2,3,4, and 5 of three-dimensional, strongly coupled many-fermion systems in the scale-invariant regime of short interaction range and large scattering length, i.e. in the…

Quantum Gases · Physics 2016-10-12 William J. Porter , Joaquín E. Drut

In this work, we study the real-time evolution of pseudo-(R\'enyi) entropy, a generalization of entanglement entropy, in two-dimensional conformal field theories (CFTs). We focus on states obtained by acting primary operators located at…

High Energy Physics - Theory · Physics 2022-09-28 Wu-zhong Guo , Song He , Yu-Xuan Zhang

We study the Renyi and entanglement entropies for free 2d CFT's at finite temperature and finite size, with emphasis on their properties under modular transformations of the torus. We address the issue of summing over fermion spin…

High Energy Physics - Theory · Physics 2015-06-04 Sagar Fakirchand Lokhande , Sunil Mukhi

We present a detailed discussion of entanglement entropy in (1+1)-dimensional Warped Conformal Field Theories (WCFTs). We implement the Rindler method to evaluate entanglement and Renyi entropies for a single interval and along the way we…

High Energy Physics - Theory · Physics 2017-01-19 Alejandra Castro , Diego M. Hofman , Nabil Iqbal

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 derive a general formula for the replica partition function in the vacuum state, for a large class of interacting theories with fermions, with or without gauge fields, using the equal-time formulation on the light front. The result is…

High Energy Physics - Phenomenology · Physics 2023-03-29 Yizhuang Liu , Maciej A. Nowak , Ismail Zahed

We compute the $N=2$ R\'enyi entanglement entropy of two intervals at equal time in a circle, for the theory of a 2d compact complex free scalar at finite temperature. This is carried out by performing functional integral on a genus 3…

High Energy Physics - Theory · Physics 2016-02-17 Feihu Liu , Xiao Liu

We consider $N$ non-interacting fermions in a $2d$ harmonic potential of trapping frequency $\omega$ and in a rotating frame at angular frequency $\Omega$, with $0<\omega - \Omega\ll \omega$. At zero temperature, the fermions are in the…

Statistical Mechanics · Physics 2019-02-20 Bertrand Lacroix-A-Chez-Toine , Satya N. Majumdar , Gregory Schehr

Entanglement entropy in topologically ordered matter phases has been computed extensively using various methods. In this paper, we study the entanglement entropy of topological phases in two-spaces from a new perspective---the perspective…

Strongly Correlated Electrons · Physics 2019-06-14 Yuting Hu , Yidun Wan
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