Related papers: Notions of Fermionic Entropies of a Causal Fermion System

Notions of Fermionic Entropies of a Causal Fermion System

URL: http://arxiv.org/abs/2408.01710v2
Date: Wed, 09 Apr 2025 05:33:51 GMT
Title: Notions of Fermionic Entropies of a Causal Fermion System
Authors: Felix Finster, Robert H. Jonsson, Magdalena Lottner, Albert Much, Simone Murro,
Abstract summary: The fermionic von Neumann entropy, the fermionic entanglement entropy and the fermionic relative entropy are defined for causal fermion systems.<n>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.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: 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.

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