Cavity optimization for Unruh effect at small accelerations

TL;DR

This paper proposes that by optimizing the cavity parameters, the Unruh effect at small accelerations can be enhanced, making it more observable in laboratory experiments through resonance effects in a cavity-confined field.

Contribution

It introduces a cavity-based approach to amplify the Unruh effect at low accelerations by exploiting resonance structures in the field mode density.

Findings

Resonance structures significantly increase mode density at specific cavity configurations.

Accelerating detectors near resonance points show enhanced excitation and de-excitation rates.

Small accelerations can produce observable effects if cavity parameters are precisely tuned.

Abstract

One of the primary reasons behind the difficulty in observing the Unruh effect is that for achievable acceleration scales the finite temperature effects are significant only for the low frequency modes of the field. Since the density of field modes falls for small frequencies in free space, the field modes which are relevant for the thermal effects would be less in number to make an observably significant effect. In this work, we investigate the response of a Unruh-DeWitt detector coupled to a massless scalar field which is confined in a long cylindrical cavity. The density of field modes inside such a cavity shows a {\it resonance structure} i.e. it rises abruptly for some specific cavity configurations. We show that an accelerating detector inside the cavity exhibits a non-trivial excitation and de-excitation rates for {\it small} accelerations around such resonance points. If the cavity parameters are adjusted to lie in a neighborhood of such resonance points, the (small) acceleration-induced emission rate can be made much larger than the already observable inertial emission rate. We comment on the possibilities of employing this detector-field-cavity system in the experimental realization of Unruh effect, and argue that the necessity of extremely high acceleration can be traded off in favor of precision in cavity manufacturing for realizing non-inertial field theoretic effects in laboratory settings.