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Precision study of the massive Schwinger model near quantum criticality

Erick Arguello Cruz, G. Tarnopolsky, Yuan Xin·December 2, 2024·DOI: 10.1103/vf7m-kzk2
Physics

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Abstract

We perform a numerical analysis of the massive Schwinger model in the presence of a background electric field. Using the Density Matrix Renormalization Group approach, we efficiently compute the spectrum of the Schwinger model on a staggered lattice with up to 3000 qubits. As a result, we achieve a precise computation of the critical mass of the massive Schwinger model to five digits using four different “criticality criteria,” observing perfect agreement among them Additionally, we discuss the effect of a four-fermion operator deformation of the Schwinger model and compute the critical mass for various values of the deformation parameter.

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