skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Fermionic entanglement that survives a black hole

Abstract

We introduce an arbitrary number of accessible modes when analyzing bipartite entanglement degradation due to Unruh effect between two partners Alice and Rob. Under the single mode approximation (SMA) a fermion field only had a few accessible levels due to Pauli exclusion principle conversely to bosonic fields which had an infinite number of excitable levels. This was argued to justify entanglement survival in the fermionic case in the SMA infinite acceleration limit. Here we relax SMA. Hence, an infinite number of modes are excited as the observer Rob accelerates, even for a fermion field. We will prove that, despite this analogy with the bosonic case, entanglement loss is limited. We will show that this comes from fermionic statistics through the characteristic structure it imposes on the infinite dimensional density matrix for Rob. Surprisingly, the surviving entanglement is independent of the specific maximally entangled state chosen, the kind of fermionic field analyzed, and the number of accessible modes considered. We shall discuss whether this surviving entanglement goes beyond the purely statistical correlations, giving insight concerning the black hole information paradox.

Authors:
;  [1]
  1. Instituto de Fisica Fundamental, CSIC, Serrano 113-B, 28006 Madrid (Spain)
Publication Date:
OSTI Identifier:
21316371
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 80; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.80.042318; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCELERATION; ALGEBRA; APPROXIMATIONS; BLACK HOLES; BOSONS; CORRELATIONS; DENSITY MATRIX; FERMIONS; INFORMATION; INFORMATION THEORY; PAULI PRINCIPLE; QUANTUM ENTANGLEMENT; STATISTICS

Citation Formats

Martin-Martinez, Eduardo, and Leon, Juan. Fermionic entanglement that survives a black hole. United States: N. p., 2009. Web. doi:10.1103/PHYSREVA.80.042318.
Martin-Martinez, Eduardo, & Leon, Juan. Fermionic entanglement that survives a black hole. United States. https://doi.org/10.1103/PHYSREVA.80.042318
Martin-Martinez, Eduardo, and Leon, Juan. 2009. "Fermionic entanglement that survives a black hole". United States. https://doi.org/10.1103/PHYSREVA.80.042318.
@article{osti_21316371,
title = {Fermionic entanglement that survives a black hole},
author = {Martin-Martinez, Eduardo and Leon, Juan},
abstractNote = {We introduce an arbitrary number of accessible modes when analyzing bipartite entanglement degradation due to Unruh effect between two partners Alice and Rob. Under the single mode approximation (SMA) a fermion field only had a few accessible levels due to Pauli exclusion principle conversely to bosonic fields which had an infinite number of excitable levels. This was argued to justify entanglement survival in the fermionic case in the SMA infinite acceleration limit. Here we relax SMA. Hence, an infinite number of modes are excited as the observer Rob accelerates, even for a fermion field. We will prove that, despite this analogy with the bosonic case, entanglement loss is limited. We will show that this comes from fermionic statistics through the characteristic structure it imposes on the infinite dimensional density matrix for Rob. Surprisingly, the surviving entanglement is independent of the specific maximally entangled state chosen, the kind of fermionic field analyzed, and the number of accessible modes considered. We shall discuss whether this surviving entanglement goes beyond the purely statistical correlations, giving insight concerning the black hole information paradox.},
doi = {10.1103/PHYSREVA.80.042318},
url = {https://www.osti.gov/biblio/21316371}, journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 80,
place = {United States},
year = {Thu Oct 15 00:00:00 EDT 2009},
month = {Thu Oct 15 00:00:00 EDT 2009}
}