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

2016 ◽  
Vol 49 (30) ◽  
pp. 30LT04 ◽  
Author(s):  
Hajo Leschke ◽  
Alexander V Sobolev ◽  
Wolfgang Spitzer
Keyword(s):  
Large Scale ◽  
Entanglement Entropy ◽  
Fermi Gas ◽  
Free Fermi

scholarly journals Stability of the Enhanced Area Law of the Entanglement Entropy

2020 ◽  
Vol 21 (11) ◽  
pp. 3639-3658
Author(s):  
Peter Müller ◽  
Ruth Schulte
Keyword(s):  
Lower Bound ◽  
Upper Bound ◽  
Ground State ◽  
Entanglement Entropy ◽  
Fermi Gas ◽  
Central Idea ◽  
Bipartite Entanglement ◽  
Free Fermi ◽  
Negative Laplacian ◽  
Area Law

Abstract We consider a multi-dimensional continuum Schrödinger operator which is given by a perturbation of the negative Laplacian by a compactly supported potential. We establish both an upper bound and a lower bound on the bipartite entanglement entropy of the ground state of the corresponding quasi-free Fermi gas. The bounds prove that the scaling behaviour of the entanglement entropy remains a logarithmically enhanced area law as in the unperturbed case of the free Fermi gas. The central idea for the upper bound is to use a limiting absorption principle for such kinds of Schrödinger operators.

scholarly journals Asymptotic orbits in a free Fermi gas

1973 ◽  
Vol 33 (1) ◽  
pp. 1-22 ◽  
Author(s):  
R. Haag ◽  
R. V. Kadison ◽  
D. Kastler
Keyword(s):  
Fermi Gas ◽  
Free Fermi ◽  
Asymptotic Orbits

A FUZZY BAG MODEL FOR NUCLEAR MATTER: A PRELIMINARY APPROACH

2010 ◽  
Vol 19 (08n10) ◽  
pp. 1593-1597 ◽  
Author(s):  
A. S. S. ROCHA ◽  
C. A. Z. VASCONCELLOS ◽  
F. FERNÁNDEZ
Keyword(s):  
Nuclear Matter ◽  
Internal Energy ◽  
Energy Function ◽  
Fermi Gas ◽  
Matter Density ◽  
Hydrostatic Equilibrium ◽  
Free Term ◽  
Bag Model ◽  
Nuclear Matter Density ◽  
Free Fermi

In this work we develop an effective formalism for nuclear matter based on the fuzzy bag model. The main objective of our study is to discuss the feasibility of using the fuzzy bag model to describe nuclear matter properties. The physical system is described in our approach by an internal energy function, which has a free term, corresponding to a free Fermi gas, and an interacting one. In the interacting part, pion exchange is taken into account via an effective potential. To avoid superposition of nucleons, we introduce an exclusion volume à la Van der Waals. The internal energy function depends on the nuclear matter density and also on a parameter which will determine the expected volume of a nucleon in matter. We then obtain results for the binding energy per nucleon for the symmetric nuclear matter and for neutron matter, as well as the equation of state within this model. We then determine the mass of neutron stars in hydrostatic equilibrium, using the TOV equations. In spite of utilizing a treatment that is still very preliminary, our results show the feasibility of using this treatment to describe nuclear matter properties.

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