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Toward the continuum limit of a (1+1)D quantum link Schwinger model

The solution of gauge theories is one of the most promising applications of quantum technologies. Here, we discuss the approach to the continuum limit for U(1) gauge theories regularized via finite-dimensional Hilbert spaces of quantum spin-S operators, known as quantum link models. For quantum elec...

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Bibliographic Details
Main Authors: Zache, Torsten Victor (Author) , Damme, Maarten van (Author) , Halimeh, Jad C. (Author) , Hauke, Philipp (Author) , Banerjee, Debasish (Author)
Format: Article (Journal) Editorial
Language:English
Published: 3 November 2022
In: Physical review
Year: 2022, Volume: 106, Issue: 9, Pages: 1-8
ISSN:2470-0029
DOI:10.1103/PhysRevD.106.L091502
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevD.106.L091502
Verlag, lizenzpflichtig, Volltext: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.106.L091502
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Author Notes:Torsten V. Zache, Maarten Van Damme, Jad C. Halimeh, Philipp Hauke, and Debasish Banerjee
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Summary:The solution of gauge theories is one of the most promising applications of quantum technologies. Here, we discuss the approach to the continuum limit for U(1) gauge theories regularized via finite-dimensional Hilbert spaces of quantum spin-S operators, known as quantum link models. For quantum electrodynamics (QED) in one spatial dimension, we numerically demonstrate the continuum limit by extrapolating the ground state energy, the scalar, and the vector meson masses to large spin lengths S, large volume N, and vanishing lattice spacing a. By exactly solving Gauss’s law for arbitrary S, we obtain a generalized PXP spin model and count the physical Hilbert space dimension analytically. This allows us to quantify the required resources for reliable extrapolations to the continuum limit on quantum devices. We use a functional integral approach to relate the model with large values of half-integer spins to the physics at topological angle Θ=π. Our findings indicate that quantum devices will in the foreseeable future be able to quantitatively probe the QED regime with quantum link models.
Item Description:Gesehen am 08.11.2023
Physical Description:Online Resource
ISSN:2470-0029
DOI:10.1103/PhysRevD.106.L091502

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