Unruh effect and quantum entanglement for the non-uniform Rindler spacetime

TL;DR

This paper develops a theoretical framework for detecting the Unruh effect under non-uniform acceleration, showing that quantum entanglement causes vacuum deformation and the particle spectrum becomes time-dependent.

Contribution

It introduces a novel approach for observing the Unruh effect with non-uniform acceleration and analyzes the impact of quantum entanglement on vacuum states.

Findings

Particle distribution in Minkowski vacuum becomes time-dependent in non-uniform acceleration.

Quantum entanglement deforms the Minkowski vacuum into squeezed states.

The proposed method reduces the acceleration threshold for observing the Unruh effect.

Abstract

While the Unruh effect has traditionally been studied under the assumption of uniform acceleration, a simplification motivated by experimental considerations, it is not necessarily true for all non-inertial motions. We propose a novel approach for the indirect detection of the Unruh effect without relying on the former restriction. Previous studies have shown that probing the decoherence of an Unruh-DeWitt detector can significantly reduce the acceleration required for observing the effect by several orders of magnitude compared to earlier proposals. Building on this idea, we develop a theoretical framework describing a non-inertial observer equipped with a detector undergoing non-uniform, time-dependent acceleration. We show that, in a non-uniformly accelerated Rindler spacetime, the particle distribution perceived in the Minkowski vacuum acquires a time-dependent modification of the standard Unruh spectrum. Furthermore, we demonstrate that the inclusion of quantum entanglement leads to a deformation of the Minkowski vacuum into squeezed states.