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On the semiclassical regularity of thermal equilibria

Published 16 Aug 2022 in math-ph, math.AP, math.FA, math.MP, and quant-ph | (2208.07911v1)

Abstract: We study the regularity properties of fermionic equilibrium states at finite positive temperature and show that they satisfy certain semiclassical bounds. As a corollary, we identify explicitly a class of positive temperature states satisfying the regularity assumptions of [J.J. Chong, L. Lafleche, C. Saffirio: arXiv:2103.10946 (2021)].

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