Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature In memory of Enrico Fermi (1901-1954) on the occasion of the 90 th birthday of the ideal Fermi gas

• Published in: Journal of physics. A, Mathematical and theoretical Vol. 49; no. 30
• Main Authors: Leschke, Hajo, Sobolev, Alexander V, Spitzer, Wolfgang
• Format: Journal Article
• Language: English
• Published: IOP Publishing 16.06.2016
• Subjects: entanglement entropy; free Fermi gas in equilibrium; local entropy; semiclassical trace formulas

The leading asymptotic large-scale behaviour of the spatially bipartite entanglement entropy (EE) of the free Fermi gas infinitely extended in multidimensional Euclidean space at zero absolute temperature, T = 0, is by now well understood. Here, we present and discuss the first rigorous results for...