Does fermionic entanglement always outperform bosonic entanglement in dilaton black hole?

TL;DR

This paper investigates the behavior of bosonic and fermionic entanglement near dilaton black holes, revealing that bosonic entanglement can be stronger than fermionic in certain modes, challenging previous assumptions.

Contribution

It provides a comparative analysis of bosonic and fermionic entanglement in dilaton black hole spacetime, highlighting conditions where bosonic entanglement surpasses fermionic.

Findings

Bosonic entanglement is stronger than fermionic in non-gravitational and gravitational modes.

Fermionic entanglement remains stronger in combined gravitational modes.

The gravitational field's strength affects the relationship between bosonic and fermionic entanglement.

Abstract

It has traditionally been believed that fermionic entanglement generally outperforms bosonic entanglement in relativistic frameworks, and that bosonic entanglement experiences sudden death in extreme gravitational environments. In this study, we analyze the genuine N-partite entanglement, measured by negativity, of bosonic and fermionic GHZ states, focusing on scenarios where a subset of $m$ ($m<N$) constituents interacts with Hawking radiation generated by a Garfinkle-Horowitz-Strominger (GHS) dilaton black hole. Surprisingly, we find that quantum entanglement between the non-gravitational and gravitational modes for the bosonic field is stronger than that in the same modes for the fermionic field within dilaton spacetime. This study challenges the traditional belief that ``fermionic entanglement always outperforms bosonic entanglement" in the relativistic framework. However, quantum entanglement between the gravitational modes and the combined gravitational and non-gravitational modes is weaker for the bosonic field than for the fermionic field in the presence of a dilaton black hole. Finally, the connection between the global N-partite entanglement in the bosonic field and that in the fermionic field is influenced by the gravitational field's intensity. Our study reveals the intrinsic relationship between quantum entanglement of bosonic and fermionic fields in curved spacetime from a new perspective, and provides theoretical guidance for selecting appropriate field-based quantum resources for relativistic quantum information tasks under extreme gravitational conditions.