How the Hawking effect and prepared states affect Entanglement distillability of Dirac fields

TL;DR

This paper investigates how the Hawking effect and initial state parameters influence the entanglement distillability of Dirac fields in Schwarzschild spacetime, revealing conditions under which states remain entangled.

Contribution

It analyzes the impact of Hawking temperature and state parameters on entanglement distillability using Werner states in curved spacetime, providing new insights into relativistic quantum information.

Findings

States are entangled when $F$ exceeds $ au$, which depends on Hawking temperature and energy.

The parameter $eta$ affects entanglement but not the entanglement range.

Entanglement persists within a specific parameter range influenced by black hole properties.

Abstract

How the Hawking effect and the prepared states influence the entanglement distillability of Dirac fields in the Schwarzschild spacetime is studied by using the Werner states which are composed of the maximum or generic entangled states. It is found that the states are entangled when the parameter of the Werner states, $F$, satisfies $\tau<F\leq 1$ in which $\tau$ is influenced both by the Hawking temperature of the black hole and energy of the fields. It is also shown that although the parameter of the generic entangled states, $\alpha$, affects the entanglement, it does not change the range of the parameter, $F$, where the states are entangled for the case of generic entangled states.