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We study the logarithmic negativity and the moments of the partial transpose in the ground state of a two dimensional massless harmonic square lattice with nearest neighbour interactions for various configurations of adjacent domains. At…

Statistical Mechanics · Physics 2017-04-20 Cristiano De Nobili , Andrea Coser , Erik Tonni

Various studies have explored the possibility of explaining the Bekenstein-Hawking (black hole) entropy by way of some suitable state-counting procedure. Notably, many of these treatments have used the well-known Cardy formula as an…

High Energy Physics - Theory · Physics 2009-11-07 A. J. M. Medved

Efficient and high-performance quantum error correction is essential for achieving fault-tolerant quantum computing. Low-depth random circuits offer a promising approach to identifying effective and practical encoding strategies. In this…

Quantum Physics · Physics 2026-03-02 Guoding Liu , Zhenyu Du , Zi-Wen Liu , Xiongfeng Ma

The entanglement entropy for a quantum critical system across a boundary with a corner exhibits a sub-leading logarithmic scaling term with a scale-invariant coefficient. Using a Numerical Linked Cluster Expansion, we calculate this…

Strongly Correlated Electrons · Physics 2014-06-30 Ann B. Kallin , E. M. Stoudenmire , Paul Fendley , Rajiv R. P. Singh , Roger G. Melko

We investigate quantum entanglement in a non-relativistic critical system by calculating the logarithmic negativity of a class of mixed states in the quantum Lifshitz model in one and two spatial dimensions. In 1+1 dimensions we employ a…

High Energy Physics - Theory · Physics 2020-09-25 J. Angel-Ramelli , C. Berthiere , V. Giangreco M. Puletti , L. Thorlacius

The entanglement entropy in many gapless quantum systems receives a contribution from corners in the entangling surface in 2+1d. It is characterized by a universal function $a(\theta)$ depending on the opening angle $\theta$, and contains…

Strongly Correlated Electrons · Physics 2016-01-27 Pablo Bueno , William Witczak-Krempa

We study the dynamics of the critical two-dimensional fully-frustrated Ising model by means of Monte Carlo simulations. The dynamical exponent is estimated at equilibrium and is shown to be compatible with the value $z_c=2$. In a second…

Statistical Mechanics · Physics 2008-07-12 Jean-Charles Walter , Christophe Chatelain

Although it has long been known that the proper quantum field theory description of critical percolation involves a logarithmic conformal field theory (LCFT), no direct consequence of this has been observed so far. Representing critical…

Statistical Mechanics · Physics 2012-07-24 Romain Vasseur , Jesper Lykke Jacobsen , Hubert Saleur

The effect of a BULK marginal operator on BOUNDARY critical phenomena in two space-time dimensions is considered. The particular case of an open S=1/2 antiferromagnetic Heisenberg chain, corresponding to a Wess-Zumino-Witten non-linear…

Strongly Correlated Electrons · Physics 2016-08-31 Ian Affleck , Shaojin Qin

The entanglement entropy correlates two quantum sub-systems which are the part of the larger system. A logarithmic divergence term present in the entanglement entropy is universal in nature and directly proportional to the conformal…

High Energy Physics - Theory · Physics 2016-10-19 Dharm Veer Singh , Shobhit Sachan

We compute the one-loop contribution to the semiclassical partition function of near-extremal, asymptotically AdS black holes in five-dimensional Einstein-Gauss-Bonnet gravity. In the absence of an exact analytic rotating solution at finite…

High Energy Physics - Theory · Physics 2026-03-27 Alejandro Alvarado , Andres Anabalon , Mariano Chernicoff , Julio Oliva , Marcelo Oyarzo , Gabriel Ortega , Jorge Urbina

A method for calculating the short-range order part of the free energy of order-disorder systems is proposed. The method is based on the apllication of the cumulant expansion to the exact configurational entropy. Second-order correlation…

Statistical Mechanics · Physics 2009-10-31 Igor Tsatskis

We derive an exact formula for the corner free-energy contribution of weakly-anisotropic two-dimensional critical systems in the Ising universality class on rectangular domains, expressed in terms of quantities that specify the anisotropic…

Statistical Mechanics · Physics 2024-08-08 Florian Kischel , Stefan Wessel

Various threshold effects are investigated on a discrete quasi-1D scattering system. In particular, one of these effects is to add corrections to Levinson's theorem. We explain how these corrections are due to the opening or to the closing…

Mathematical Physics · Physics 2025-09-17 T. T. Nguyen , D. Parra , S. Richard

The correction to the area law for the bipartite min-entanglement entropy of weakly and locally interacting fermions is calculated based on a perturbative extension of the flow equation holography method. Explicit calculations for the one-…

Quantum Physics · Physics 2020-08-03 Yevheniia Cheipesh , Lorenzo Cevolani , Stefan Kehrein

In this study, we systematically calculate one-loop corrections to the Lorentz-violating vertices within the framework of CPT-odd Quantum Electrodynamics, encompassing scalar and photon fields in arbitrary gauge. Additionally, we ascertain…

High Energy Physics - Theory · Physics 2024-02-14 A. C. Lehum , J. R. Nascimento , A. Yu. Petrov

A logarithmic but divergent term usually appears in the computation of entanglement entropy circumferencing a black hole, while the leading quantum correction to the Bekenstein-Hawking entropy also takes the logarithmic form. A quench model…

High Energy Physics - Theory · Physics 2016-09-27 Wen-Yu Wen

In three-dimensional critical percolation we study numerically the number of clusters, $N_{\Gamma}$, which intersect a given subset of bonds, $\Gamma$. If $\Gamma$ represents the interface between a subsystem and the environment, then…

Statistical Mechanics · Physics 2014-07-30 Istvan A. Kovacs , Ferenc Igloi

We revisit the computation of logarithmic corrections to black holes with N equal or greater than 2 supersymmetry. We employ an on-shell method that takes advantage of the symmetries in the AdS(2) x S**2 near horizon geometry. For bulk…

High Energy Physics - Theory · Physics 2014-08-27 Cynthia Keeler , Finn Larsen , Pedro Lisbao

We investigate a specific set of two-loop self-energy corrections involving squared decay rates and point out that their interpretation is highly problematic. The corrections cannot be interpreted as radiative energy shifts in the usual…

High Energy Physics - Phenomenology · Physics 2008-11-26 U. D. Jentschura , J. Evers , C. H. Keitel , K. Pachucki