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math-ph2026

The two-sided Bogoliubov inequality in von Neumann algebras conceptualizes the free energy--quantum correlations link

Benedikt M. Reible, Albert Much, Rainer Verch +2

The quantum-mechanical two-sided Bogoliubov inequality provides upper and lower bounds for the free energy required to separate a system of interacting particles into independent s…

math-ph2026

The Relative Fermionic Entropy in Two-Dimensional Rindler Spacetime

Felix Finster, Albert Much

The fermionic relative entropy in two-dimensional Rindler spacetime is studied using both modular theory and the reduced one-particle density operators. The methods and results are…

math-ph2026

A proposal for the algebra of a novel noncommutative spacetime

Markus B. Fröb, Albert Much, Kyriakos Papadopoulos

We investigate the quantum structure of spacetime at fundamental scales via a novel, Lorentz-invariant noncommutative coordinate framework. Building on insights from noncommutative…

math-ph2025

The Fermionic Entanglement Entropy of Causal Diamonds in Two-Dimensional Minkowski Space

Felix Finster, Magdalena Lottner, Albert Much +1

The fermionic Rényi entanglement entropy is studied for causal diamonds in two-dimensional Minkowski spacetime. Choosing the quasi-free state describing the Minkowski vacuum with…

math-ph2025

Notions of Fermionic Entropies of a Causal Fermion System

Felix Finster, Robert H. Jonsson, Magdalena Lottner +2

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…

math-ph2024

Microlocal Analysis of a Deformed Quantum Field Theory

Rishabh Ballal, Albert Much, Rainer Verch

A deformation technique, known as the warped convolution, takes quantum fields in Minkowski spacetime to quantum fields in noncommutative Minkowski space-time. Since a quantum fiel…