The Spectral Gap and Low-Energy Spectrum in Mean-Field Quantum Spin Systems
| Autor: | Manai, Chokri, Warzel, Simone |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Forum of Mathematics, Sigma, 11, E112 (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1017/fms.2023.111 |
| Popis: | 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. Comment: Extended published version |
| Databáze: | arXiv |
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