Population bound effects on bosonic correlations in non-inertial frames

TL;DR

This paper investigates how bounding the occupation number of bosonic modes affects quantum correlations in non-inertial frames, revealing unique entanglement behaviors compared to fermions and highlighting classical versus quantum correlation origins.

Contribution

It introduces the impact of finite occupation number bounds on bosonic entanglement in non-inertial settings, contrasting with fermionic cases and exploring classical and quantum correlation differences.

Findings

AR entanglement depends on the bound N and acceleration a.

No entanglement is created between A and antiR regardless of N and a.

Entanglement in R-antiR bipartition shows strong N dependence and is more pronounced for bosons.

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.