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We consider the problem of symmetry decomposition of the entanglement negativity in free fermionic systems. Rather than performing the standard partial transpose, we use the partial time-reversal transformation which naturally encodes the…

Statistical Mechanics · Physics 2021-05-26 Sara Murciano , Riccarda Bonsignori , Pasquale Calabrese

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 report on the calculation of the symmetry resolved entanglement entropies in two-dimensional many-body systems of free bosons and fermions by \emph{dimensional reduction}. When the subsystem is translational invariant in a transverse…

Statistical Mechanics · Physics 2020-08-11 Sara Murciano , Paola Ruggiero , Pasquale Calabrese

We investigate the symmetry resolution of entanglement in the presence of long-range couplings. To this end, we study the symmetry-resolved entanglement entropy in the ground state of a fermionic chain that has dimerised long-range hoppings…

Statistical Mechanics · Physics 2022-06-22 Filiberto Ares , Sara Murciano , Pasquale Calabrese

We present a thorough analysis of the entanglement entropies related to different symmetry sectors of free quantum field theories (QFT) with an internal U(1) symmetry. We provide explicit analytic computations for the charged moments of…

High Energy Physics - Theory · Physics 2020-08-25 Sara Murciano , Giuseppe Di Giulio , Pasquale Calabrese

We study the universal scaling behavior of the entanglement entropy of critical theories in $2+1$ dimensions. We specially consider two fermionic scale-invariant models, free massless Dirac fermions and a model of fermions with quadratic…

Strongly Correlated Electrons · Physics 2015-02-24 Xiao Chen , Gil Young Cho , Thomas Faulkner , Eduardo Fradkin

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

In a recent paper we studied the entanglement content of zero-density excited states in complex free quantum field theories, focusing on the symmetry resolved entanglement entropy (SREE). By zero-density states we mean states consisting of…

High Energy Physics - Theory · Physics 2023-01-18 Luca Capizzi , Cecilia De Fazio , Michele Mazzoni , Lucía Santamaría-Sanz , Olalla A. Castro-Alvaredo

The scaling of entanglement entropy with subsystem size fails to distinguish between gapped and gapless ground state of a scalar field theory in $d>1$ dimensions. We show that the scaling of angular momentum resolved entanglement entropy…

Statistical Mechanics · Physics 2023-08-07 Mrinal Kanti Sarkar , Saranyo Moitra , Rajdeep Sensarma

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

In three dimensions there is a logarithmically divergent contribution to the entanglement entropy which is due to the vertices located at the boundary of the region considered. In this work we find the corresponding universal coefficient…

High Energy Physics - Theory · Physics 2009-04-02 H. Casini , M. Huerta , L. Leitao

The study of the entanglement dynamics plays a fundamental role in understanding the behaviour of many-body quantum systems out of equilibrium. In the presence of a globally conserved charge, further insights are provided by the knowledge…

Statistical Mechanics · Physics 2023-03-31 Gilles Parez , Riccarda Bonsignori , Pasquale Calabrese

We investigate the non-equilibrium time evolution of symmetry-resolved entanglement entropy (SREE) following an inhomogeneous quench in a critical one-dimensional free fermion system. Using conformal field theory, we derive an exact…

High Energy Physics - Theory · Physics 2025-05-27 Hui-Huang Chen , Xin-Liang Zhou , Jiayu Yin , Ming Zhang

A self-consisting gauge-theory approach to describe Dirac fermions on flexible surfaces with a disclination is formulated. The elastic surfaces are considered as embeddings into R^3 and a disclination is incorporated through a topologically…

Mesoscale and Nanoscale Physics · Physics 2010-04-22 E. A. Kochetov , V. A. Osipov

We investigate symmetry-resolved entanglement in out-of-equilibrium fermionic systems subject to gain and loss dissipation, which preserves the block-diagonal structure of the reduced density matrix. We derive a hydrodynamic description of…

Statistical Mechanics · Physics 2023-12-07 Sara Murciano , Pasquale Calabrese , Vincenzo Alba

We compute the leading correction to entanglement entropy in $T\bar{T}$ deformed massive QFTs. We show that both for massive scalar and Dirac fermion, the leading order correction to the entanglement entropy of half-space comes from the…

High Energy Physics - Theory · Physics 2023-05-10 Shachar Ashkenazi , Soumangsu Chakraborty , Zhanyu Ma , Tom Shachar

Entanglement and the R\'enyi entropies for Dirac fermions on 2 dimensional torus in the presence of chemical potential, current source, and topological Wilson loop are unified in a single framework by exhausting all the ingredients of the…

High Energy Physics - Theory · Physics 2022-01-19 Bom Soo Kim

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 perform a comprehensive analysis of the symmetry-resolved (SR) entanglement entropy (EE) for one single interval in the ground state of a $1+1$D conformal field theory (CFT), that is invariant under an arbitrary finite or compact Lie…

High Energy Physics - Theory · Physics 2023-12-07 Yuya Kusuki , Sara Murciano , Hirosi Ooguri , Sridip Pal

We study the symmetry resolved entanglement entropies in one-dimensional systems with boundaries. We provide some general results for conformal invariant theories and then move to a semi-infinite chain of free fermions. We consider both an…

Statistical Mechanics · Physics 2021-09-30 Riccarda Bonsignori , Pasquale Calabrese
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