Fisher–Hartwig expansion for Toeplitz determinants and the spectrum of a single-particle reduced density matrix for one-dimensional free fermions

DOI10.1088/1751-8113/46/37/375005zbMath1283.81078arXiv1306.5017OpenAlexW3105206623MaRDI QIDQ2854135

Alexander G. Abanov, Dmitri A. Ivanov

Publication date: 17 October 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5017

zbMATH Keywords

density matrixdiscrete Painlevé equationsfermion gases

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Statistical mechanics of solids (82D20) Random matrices (algebraic aspects) (15B52) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Special quantum systems, such as solvable systems (81Q80)

Related Items (4)

Symmetry-resolved entanglement entropy in critical free-fermion chains ⋮ Eigenpairs of Toeplitz and disordered Toeplitz matrices with a Fisher-Hartwig symbol ⋮ Thermal properties of the Rényi entropies of free bosons and fermions ⋮ Surface and bulk entanglement in free-fermion chains

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