Precision study of the massive Schwinger model near quantum criticality

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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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2025-08-22
DOI
https://doi.org/10.1103/vf7m-kzk2
Citations
4
Primary Topic
Quantum many-body systems
Type
article
Field-Weighted Citation Impact
4.99

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article

Precision study of the massive Schwinger model near quantum criticality

Grigory Tarnopolsky, E. Cruz, Y. L. Xin
4 citations
Physical review. D/Physical review. D.
Quantum many-body systems
4.99
article

Precision study of the massive Schwinger model near quantum criticality

Grigory Tarnopolsky, E. Cruz, Y. L. Xin
article en
4 citations

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.

Physical review. D/Physical review. D.Vol. 112(3)
Carnegie Mellon University (US)
National Science Foundation, U.S. Department of Energy, Simons Foundation, PSC Partners Seeking a Cure
Openalex Percentile: Top 5%
Quantum many-body systems
4.99
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Precision study of the massive Schwinger model near quantum criticality — Grigory Tarnopolsky, E. Cruz, et al. · Physical review. D/Physical review. D. (2025) | TGRS Research Map | TGRS