Correlações quânticas em referenciais não-inerciais

Abstract

The problem considers a entangled pair of two modes of a massless scalar eld with constant relative acceleration. For this, we consider this pair in vacuum, in other words, in Minkowski spacetime, where we use constant relativistic acceleration four-vector. Because the Unruh eect, an accelerated observer embedded in the fundamental state of this eld can detect their modes of excitation. Those excitations are interpreted like a thermal bath caracteristic of blackbody radiation with temperature proportional to their relative acceleration. We investigate that the metric that describes the relative acceleration mimics the metric used to describe black holes, in certain approximation. Finally, we will analyse that the entanglement is a variable quantity which depends on the relative acceleration of the two reference frames and, in certain approximation, relative to certain regions in the vicinity of a black hole, given that one of the reference frame is capable to escape the fall toward the black hole horizon while the other reference frame stays in free fall.