The Relative Fermionic Entropy in Two-Dimensional Rindler Spacetime

TL;DR

This paper investigates the fermionic relative entropy in two-dimensional Rindler spacetime using modular theory and density operators, deriving a general formula and applying it to specific non-unitary excitations.

Contribution

It introduces a new formula for fermionic relative entropy in Gaussian states within Rindler spacetime and compares different methodological approaches.

Findings

Derived a general formula for fermionic relative entropy in Gaussian states.

Compared modular theory and density operator methods for computing relative entropy.

Computed relative entropy for a class of non-unitary excitations.

Abstract

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 compared. A formula for the relative entropy for general Gaussian states is derived. As an application, the relative entropy is computed for a class of non-unitary excitations.