Spectral gaps of two- and three-dimensional many-body quantum systems in the thermodynamic limit

Lukin, Illya V.; Sotnikov, Andrii G.; Leamer, Jacob M.; Magann, Alicia B.; Bondar, Denys I.

doi:10.1103/PhysRevResearch.6.023128

Title: Spectral gaps of two- and three-dimensional many-body quantum systems in the thermodynamic limit

Journal Article · 06 May 2024 · Physical Review Research

DOI: https://doi.org/10.1103/PhysRevResearch.6.023128 · OSTI ID:2345957

Lukin, Illya V.;

; Leamer, Jacob M.; Magann, Alicia B.;

We present an expression for the spectral gap, opening up new possibilities for performing and accelerating spectral calculations of quantum many-body systems. We develop and demonstrate one such possibility in the context of tensor network simulations. Our approach requires only minor modifications of the widely used simple update method and is computationally lightweight relative to other approaches. We validate it by computing spectral gaps of the 2D and 3D transverse-field Ising models and find strong agreement with previously reported perturbation theory results. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

OSTI ID:: 2345957

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Journal Issue: 2 Vol. 6; ISSN 2643-1564; ISSN PPRHAI

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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