The Spectral Gap and Low-Energy Spectrum in Mean-Field Quantum Spin Systems
Mathematical Physics
2023-12-07 v4 Statistical Mechanics
math.MP
Abstract
A semiclassical analysis based on spin-coherent states is used to establish a classification and 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 semiclassical Hamiltonian hence justifying fluctuation theory at zero temperature for this case. We also point out a shift caused by the spherical geometry in these second-order approximations.
Keywords
Cite
@article{arxiv.2302.00465,
title = {The Spectral Gap and Low-Energy Spectrum in Mean-Field Quantum Spin Systems},
author = {Chokri Manai and Simone Warzel},
journal= {arXiv preprint arXiv:2302.00465},
year = {2023}
}
Comments
Extended published version