Geodesic
The Spectral Gap and Low-Energy Spectrum in Mean-Field Quantum Spin Systems
Forum of Mathematics, Sigma, Tome 11 (2023)

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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 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. 
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     author = {Chokri Manai and Simone Warzel},
     title = {The {Spectral} {Gap} and {Low-Energy} {Spectrum} in {Mean-Field} {Quantum} {Spin} {Systems}},
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Chokri Manai; Simone Warzel. The Spectral Gap and Low-Energy Spectrum in Mean-Field Quantum Spin Systems. Forum of Mathematics, Sigma, Tome 11 (2023). doi: 10.1017/fms.2023.111

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