Population bound effects on bosonic correlations in non-inertial frames

Abstract

We analyse 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 A-antiR (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 infinite N. 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 R-antiR 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.

revtex 4, 12 pages, 10 figures. Added Journal ref.

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• Quantum entanglement produced in the formation of a black hole
• Degradation of entanglement between two accelerated parties: Bell states under the Unruh effect
• Entanglement harvesting and divergences in quadratic Unruh-DeWitt detectors pairs
• The entangling side of the Unruh-Hawking effect
• Fermionic entanglement extinction in non-inertial frames
• Nonlocality and Entanglement via the Unruh effect
• Fundamental limitations to information transfer in accelerated frames
• How the relativistic motion affects Einstein-Podolsky-Rosen steering
• Anti-particle detector models in QFT
• Retrieving the lost fermionic entanglement by partial measurement in noninertial frames
• Spatially extended Unruh-DeWitt detectors for relativistic quantum information
• Dynamics and recovery of genuine multipartite Einstein-Podolsky-Rosen steering and genuine multipartite nonlocality for a dissipative Dirac system via Unruh effect
• Schwinger effect of a relativistic boson entangled with a qubit
• Conditions for separability in multiqubit systems with an accelerating qubit using a conditional entropy
• Entanglement Degradation in Causal Diamonds
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• Quantum conditional mutual information of W state in non-inertial frames
• Orbital angular momentum spectrum and entanglement in a rotating accelerated reference frame
• Localised Systems in Relativistic Quantum Information