Quantum field and uniformly accelerated oscillator

TL;DR

This paper provides an exact analysis of how a uniformly accelerated harmonic oscillator influences a quantum scalar field in Minkowski space, revealing observer-dependent radiation and modifications to quantum correlations.

Contribution

It offers an exact quantization of a time-dependent oscillator coupled to a scalar field and examines observer-dependent radiation and quantum correlations.

Findings

No radiation observed by an accelerated observer.

Radiation detected by an inertial observer.

EPR-like correlations are phase-shifted in Rindler space.

Abstract

We present an exact treatment of the influences on a quantum scalar field in its Minkowski vacuum state induced by coupling of the field to a uniformly accelerated harmonic oscillator. We show that there are no radiation from the oscillator in the point of view of a uniformly accelerating observer. On the other hand, there are radiations in the point of view of an inertial observer. It is shown that Einstein-Podolsky-Rosen (EPR) like correlations of Rindler particles in Minkowski vacuum states are modified by a phase factor in front of the momentum-symmetric Rindler operators. The exact quantization of a time-dependent oscillator coupled to a massless scalar field was given.