The Spectral Gap and Low-Energy Spectrum in Mean-Field Quantum Spin Systems

A semiclassical analysis based on spin-coherent states is used to establish a classification and novel simple formulae for the spectral gap of mean-field spin Hamiltonians. For gapped systems, we provide a full description of the low-energy spectra based on a second-order approximation to the semicl...

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Bibliographic Details
Main Authors: Chokri Manai, Simone Warzel
Format: Article
Language:English
Published: Cambridge University Press 2023-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509423001111/type/journal_article