Finster, Felix and Jonsson, Robert H. and Lottner, Magdalena and Much, Albert and Murro, Simone (2025) Notions of Fermionic Entropies for Causal Fermion Systems. MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 28 (2): 7. ISSN 1385-0172, 1572-9656
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The fermionic von Neumann entropy, the fermionic entanglement entropy and the fermionic relative entropy are defined for causal fermion systems. Our definition makes use of entropy formulas for quasi-free fermionic states in terms of the reduced one-particle density operator. Our definitions are illustrated in various examples for Dirac spinors in two- and four-dimensional Minkowski space, in the Schwarzschild black hole geometry and for fermionic lattices. We review area laws for the two-dimensional diamond and a three-dimensional spatial region in Minkowski space. The connection is made to the computation of the relative entropy using modular theory.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DUALITY CONDITION; RELATIVE ENTROPY; QUANTUM; DYNAMICS; STATES; Fermionic entropy; von Neumann entropy; Entanglement entropy; modular theory; Causal fermion system; Reduced one-particle density operator |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Jun 2026 07:42 |
| Last Modified: | 23 Jun 2026 07:42 |
| URI: | https://pred.uni-regensburg.de/id/eprint/67281 |
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