Abstract
We study the entanglement entropy in lattice field theory using a simulation algorithm based on Jarzynski’s theorem. We focus on the entropic c-function for the Ising model in two and in three dimensions: after validating our algorithm against known analytical results from conformal field theory in two dimensions, we present novel results for the three-dimensional case. We show that our algorithm, which is highly parallelized on graphics processing units, allows one to precisely determine the subleading corrections to the area law, which have been investigated in many recent works. Possible generalizations of this study to other strongly coupled theories are discussed.
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Acknowledgments
This work has been supported by the Spoke 1 “FutureHPC & BigData” of the Italian Research Center on High-Performance Computing, Big Data and Quantum Computing (ICSC) funded by MUR Missione 4 Componente 2 Investimento 1.4: Potenziamento strutture di ricerca e creazione di “campioni nazionali di R&S (M4C2-19)” — Next Generation EU (NGEU). The numerical simulations were run on machines of the Consorzio Interuniversitario per il Calcolo Automatico dell’Italia Nord Orientale (CINECA). We acknowledge support from the SFT Scientific Initiative of the Italian Nuclear Physics Institute (INFN).
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Bulgarelli, A., Panero, M. Entanglement entropy from non-equilibrium Monte Carlo simulations. J. High Energ. Phys. 2023, 30 (2023). https://doi.org/10.1007/JHEP06(2023)030
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DOI: https://doi.org/10.1007/JHEP06(2023)030