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Title: Population bound effects on bosonic correlations in noninertial frames

Abstract

We analyze the effect of bounding the occupation number of bosonic field modes on the correlations among all the different spatial-temporal regions in a setting in which we have a space time with a horizon along with an inertial observer. We show that the entanglement between A (inertial observer) and R (uniformly accelerated observer) depends on the bound N, contrary to the fermionic case. Whether or not decoherence increases with N depends on the value of the acceleration a. Concerning the bipartition AR-bar (Alice with an observer in Rindler's region IV), we show that no entanglement is created whatever the value of N and a. Furthermore, AR entanglement is very quickly lost for finite N and for N{yields}{infinity}. We will study in detail the mutual information conservation law found for bosons and fermions. By means of the boundary effects associated to N finiteness, we will show that for bosons this law stems from classical correlations while for fermions it has a quantum origin. Finally, we will present the strong N dependence of the entanglement in RR-bar bipartition and compare the fermionic cases with their finite N bosonic analogs. We will also show the anti-intuitive dependence of this entanglement on statisticsmore » since more entanglement is created for bosons than for their fermion counterparts.« less

Authors:
;  [1]
  1. Instituto de Fisica Fundamental, CSIC Serrano 113-B, E-28006 Madrid (Spain)
Publication Date:
OSTI Identifier:
21408784
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 81; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.81.052305; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCELERATION; BOSONS; COMPARATIVE EVALUATIONS; CORRELATIONS; FERMIONS; OCCUPATION NUMBER; QUANTUM ENTANGLEMENT; QUANTUM INFORMATION; SPACE-TIME; STATISTICS; EVALUATION; INFORMATION; MATHEMATICS

Citation Formats

Martin-Martinez, Eduardo, and Leon, Juan. Population bound effects on bosonic correlations in noninertial frames. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.81.052305.
Martin-Martinez, Eduardo, & Leon, Juan. Population bound effects on bosonic correlations in noninertial frames. United States. doi:10.1103/PHYSREVA.81.052305.
Martin-Martinez, Eduardo, and Leon, Juan. Sat . "Population bound effects on bosonic correlations in noninertial frames". United States. doi:10.1103/PHYSREVA.81.052305.
@article{osti_21408784,
title = {Population bound effects on bosonic correlations in noninertial frames},
author = {Martin-Martinez, Eduardo and Leon, Juan},
abstractNote = {We analyze the effect of bounding the occupation number of bosonic field modes on the correlations among all the different spatial-temporal regions in a setting in which we have a space time with a horizon along with an inertial observer. We show that the entanglement between A (inertial observer) and R (uniformly accelerated observer) depends on the bound N, contrary to the fermionic case. Whether or not decoherence increases with N depends on the value of the acceleration a. Concerning the bipartition AR-bar (Alice with an observer in Rindler's region IV), we show that no entanglement is created whatever the value of N and a. Furthermore, AR entanglement is very quickly lost for finite N and for N{yields}{infinity}. We will study in detail the mutual information conservation law found for bosons and fermions. By means of the boundary effects associated to N finiteness, we will show that for bosons this law stems from classical correlations while for fermions it has a quantum origin. Finally, we will present the strong N dependence of the entanglement in RR-bar bipartition and compare the fermionic cases with their finite N bosonic analogs. We will also show the anti-intuitive dependence of this entanglement on statistics since more entanglement is created for bosons than for their fermion counterparts.},
doi = {10.1103/PHYSREVA.81.052305},
journal = {Physical Review. A},
issn = {1050-2947},
number = 5,
volume = 81,
place = {United States},
year = {2010},
month = {5}
}