Szego limit theorem for operators with discontinuous symbols and applications to entanglement entropy

DOI10.1155/IMRN/2006/95181zbMath1127.47045arXivmath/0212215MaRDI QIDQ3428119

Dimitri Gioev

Publication date: 27 March 2007

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212215

zbMATH Keywords

entanglement entropypseudodifferential operators with non-smooth or discontinuous symbolsSzegő type limit theoremthe Widom conjecture

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Applications of operator theory in the physical sciences (47N50) Quantum measurement theory, state operations, state preparations (81P15) Integral operators (47G10) Pseudodifferential operators (47G30)

Related Items (4)

Entanglement entropy and Berezin-Toeplitz operators ⋮ Rényi entropies of the free Fermi gas in multi-dimensional space at high temperature ⋮ Stability of the enhanced area law of the entanglement entropy ⋮ Pseudo-differential operators with discontinuous symbols: Widom’s Conjecture

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