Nonlinear Limits to Optomechanical Thermometry

TL;DR

This paper investigates nonlinear effects, specifically side-band inequivalence, in optomechanical thermometry that impose fundamental upper limits on optical power for accurate temperature measurement.

Contribution

It identifies and analyzes previously overlooked nonlinear effects from side-band inequivalence that set a maximum optical power in optomechanical thermometry.

Findings

Side-band inequivalence causes asymmetric frequency shifts.

Nonlinear effects limit the maximum optical power for thermometry.

These effects establish an upper bound on temperature readout accuracy.

Abstract

Optomechanical thermometry is a precise and reference-free method to measure absolute temperature. While pumping high optical power is needed to overcome noise and reduce the integration time, there is actually an upper limit to the useful optical power regardless of all other nonideal effects. Side-band inequivalence is a nonlinear effect obtained by higher-order operator algebra in quantum optomechanics and equivalent experiments, which causes asymmetric frequency shifts in side-bands and also an additional difference in their population. This chapter discusses previously unnoticed nonlinear effects arising from side-band inequivalence in optomechanical and Raman thermometry, which determines an upper bound in available optical power for temperature readout.