Quantum properties of fermionic fields in multi-event horizon spacetime
- URL: http://arxiv.org/abs/2311.07047v1
- Date: Mon, 13 Nov 2023 03:17:36 GMT
- Title: Quantum properties of fermionic fields in multi-event horizon spacetime
- Authors: Qianqian Liu, Shu-Min Wu, Cuihong Wen, Jieci Wang
- Abstract summary: We investigate the properties of quantum entanglement and mutual information in the multi-event horizon Schwarzschild-de Sitter (SdS) spacetime for massless Dirac fields.
We obtain the expression for the evolutions of the quantum state near the black hole event horizon (BEH) and cosmological event horizon (CEH) in the SdS spacetime.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate the properties of quantum entanglement and mutual information
in the multi-event horizon Schwarzschild-de Sitter (SdS) spacetime for massless
Dirac fields. We obtain the expression for the evolutions of the quantum state
near the black hole event horizon (BEH) and cosmological event horizon (CEH) in
the SdS spacetime. Under the Nariai limit, the physically accessible
entanglement and mutual information are maximized, and the physically
inaccessible correlations are zero. With the increase in temperature of either
horizon, the physically accessible correlations experience degradation.
Notably, the initial state remains entangled and can be utilized in
entanglement-based quantum information processing tasks, which differs form the
scalar field case. Furthermore, the degradation of physically accessible
correlations is more pronounced for small-mass black holes. In contrast, the
physically inaccessible correlations separated by the CEH monotonically
increase with the radiation temperature, and such correlations are not
decisively influenced by the effect of particle creation at the BEH. Moreover,
a similar phenomenon is observed for the inaccessible correlations separated by
the BEH. This result differs from the single event spacetime, in which the
physically inaccessible entanglement is a monotonic function of the Hawking
temperature.
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