Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature

DOI10.1088/1751-8113/49/30/30LT04zbMath1346.81160arXiv1501.03412OpenAlexW3104651389MaRDI QIDQ3188424

Alexander V. Sobolev, Hajo Leschke, Wolfgang L. Spitzer

Publication date: 19 August 2016

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

Full work available at URL: https://arxiv.org/abs/1501.03412

zbMATH Keywords

local entropyentanglement entropysemiclassical trace formulasfree Fermi gas in equilibrium

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Statistical mechanics of plasmas (82D10) Measures of information, entropy (94A17) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (11)

Quasi-classical asymptotics for functions of Wiener-Hopf operators: smooth versus non-smooth symbols ⋮ Full Szegő-type trace asymptotics for ergodic operators on large boxes ⋮ Entanglement entropy and Berezin-Toeplitz operators ⋮ Formulas of Szegő type for the periodic Schrödinger operator ⋮ On Szegő formulas for truncated Wiener-Hopf operators ⋮ Entanglement entropies of an interval in the free Schrödinger field theory on the half line ⋮ Rényi entropies of the free Fermi gas in multi-dimensional space at high temperature ⋮ Thermal properties of the Rényi entropies of free bosons and fermions ⋮ Asymptotic growth of the local ground-state entropy of the ideal Fermi gas in a constant magnetic field ⋮ Large block properties of the entanglement entropy of free disordered fermions ⋮ Entanglement entropies of an interval in the free Schrödinger field theory at finite density

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