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arXiv:1102.4759 · Physical Review A

Redistribution of particle and antiparticle entanglement in noninertial frames

Eduardo Martín-Martínez, Ivette Fuentes

Published May 9, 2011• 106 citations
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Abstract

We analyze the entanglement tradeoff between particle and antiparticle modes of a Dirac field from the perspective of inertial and uniformly accelerated observers. Our results show that a redistribution of entanglement between particle and antiparticle modes plays a key role in the survival of femionic field entanglement in the infinite-acceleration limit.

DOI
10.1103/physreva.83.052306

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We analyze the entanglement tradeoff between particle and antiparticle modes of a Dirac field from the perspective of inertial and uniformly accelerated observers. Our results show that a redistribution of entanglement between particle and antiparticle modes plays a key role in the survival of femionic field entanglement in the infinite-acceleration limit.
We analyze the entanglement between two modes of a free Dirac field as seen by two relatively accelerated parties. The entanglement is degraded by the Unruh effect and asymptotically reaches a nonvanishing minimum value in the infinite acceleration limit. This means that the state always remains entangled to a degree and can be used in quantum information tasks, such as teleportation, between parties in relative uniform acceleration. We analyze our results from the point of view afforded by the phenomenon of entanglement sharing and in terms of recent results in the area of multiqubit complementarity.
We study the distribution of entanglement between modes of a free scalar field from the perspective of observers in uniform acceleration. We consider a two-mode squeezed state of the field from an inertial perspective, and analytically study the degradation of entanglement due to the Unruh effect, in the cases of either one or both observers undergoing uniform acceleration. We find that, for two observers undergoing finite acceleration, the entanglement vanishes between the lowest-frequency modes. The loss of entanglement is precisely explained as a redistribution of the inertial entanglement into multipartite quantum correlations among accessible and inaccessible modes from a noninertial perspective. We show that classical correlations are also lost from the perspective of two accelerated observers but conserved if one of the observers remains inertial.
We study how the entanglement of an entangled pair of particles is affected when one or both of the pair is uniformly accelerated, while the detector remains in an inertial frame. We find that the entanglement is unchanged if all degrees of freedom are considered. However, particle pairs are produced when a relativistic particle is accelerated, and more bipartite systems emerge, the entanglements of some of which may change as the acceleration. In particular, the entanglement of a pair of accelerating fermions is transferred preferentially to the produced antiparticles when the acceleration is large, and the entanglement transfer is complete when the acceleration approaches infinity. However, no such entanglement transfer to the antiparticles is observed for scalar particles.
We investigate the entanglement dynamics of two cavities interacting respectively with reservoir in non-inertial frames. We consider not only the influence of acceleration, but also the influence of different rates between right and left components of the Unruh single-particle state on entanglement. The result shows that the reservoir-entanglement will increase with the decrease of the cavity-entanglement when the acceleration parameter is fixed. In addition, there appears the redistribution of entanglement between particle mode and antiparticle mode, when the initial state is in a maximal by entangled state with |qR|=1. We also find that the sudden death of entanglement happens in infinite acceleration limit when |qR|=|qL|=1/√2, whereas the death of entanglement happens at finite acceleration when qR2.
We study how the entanglement of a maximally entangled pair of particles is affected when one or both of the pair are uniformly accelerated, while the detector remains in an inertial frame. We find that the entanglement is unchanged if all degrees of freedom are considered. However, particle pairs are produced, and the entanglements of different bipartite systems may change with the acceleration. In particular, the entanglement between accelerating fermions is transferred preferentially to the produced antiparticles when the acceleration is large, and the entanglement transfer is complete when the acceleration approaches infinity. However, for scalar particles, no entanglement transfer to the antiparticles is observed.