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• W4313341946 abstract "AbstractWe study the local and (bipartite) entanglement Rényi entropies of the free Fermi gas in multi-dimensional Euclidean space in thermal equilibrium. We prove positivity of the entanglement entropies with Rényi index γ ≤ 1 for all temperatures T > 0. Furthermore, for general γ > 0 we establish the asymptotics of the entropies for large T and large scaling parameter α > 0 for two different regimes—for fixed chemical potential and also for fixed particle density ρ > 0. In particular, we thereby provide the last remaining building block for a complete proof of our low- and high-temperature results presented (for γ = 1) in J. Phys. A: Math. Theor. 49, 30LT04 (2016); [Corrigendum. 50, 129501 (2017)], but being supported there only by the basic proof ideas.KeywordsNon-smooth functions of Wiener–Hopf operatorsAsymptotic trace formulasRényi (entanglement) entropy of fermionic equilibrium statesMathematics Subject Classification (2020)Primary 47G3035S05; Secondary 47B1047B35" @default.
• W4313341946 created "2023-01-06" @default.
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• W4313341946 date "2022-01-01" @default.
• W4313341946 modified "2023-10-18" @default.
• W4313341946 title "Rényi Entropies of the Free Fermi Gas in Multi-Dimensional Space at High Temperature" @default.
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• W4313341946 doi "https://doi.org/10.1007/978-3-031-13851-5_21" @default.
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