Continuous variable entanglement sharing in non-inertial frames

Abstract

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 unaccessible modes from a non-inertial 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.

19 pages, 13 EPS figures (most low-res due to oversize); terminology revised

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Cited by in corpus (13)

• Hawking radiation, Entanglement and Teleportation in background of an asymptotically flat static black hole
• Redistribution of particle and anti-particle entanglement in non-inertial frames
• Particle and anti-particle bosonic entanglement in non-inertial frames
• Fermionic entanglement that survives a black hole
• Entangling moving cavities in non-inertial frames
• Entanglement generation in relativistic quantum fields
• Entanglement and discord: accelerated observations of local and global modes
• Quantum gates and multipartite entanglement resonances realized by non-uniform cavity motion
• Continuous variable methods in relativistic quantum information: Characterisation of quantum and classical correlations of scalar field modes in noninertial frames
• Tripartite entanglement of fermionic system in accelerated frames
• How the Hawking effect and prepared states affect Entanglement distillability of Dirac fields
• Preservation of quantum coherence under Lorentz boost for narrow uncertainty wave packets
• Quantum Correlations of Helicity Entangled States in Non-inertial Frames Beyond Single Mode Approximation