Probing the generalized uncertainty principle through quantum noises in optomechanical systems

TL;DR

This paper investigates how the generalized uncertainty principle affects quantum noise spectra in optomechanical systems, providing tighter bounds on GUP parameters through theoretical calculations and experimental data comparison.

Contribution

It introduces a modified commutation relation with linear and quadratic momentum terms and analyzes its impact on noise spectra in optomechanical systems.

Findings

Tighter bounds on GUP parameters from noise spectrum analysis

Modified noise spectrum due to GUP effects

Comparison with experimental data supports theoretical predictions

Abstract

In this work we have considered a simple mechanical oscillator interacting with a single mode optical field inside a cavity in the generalized uncertainty principle framework (GUP). Our aim is to calculate the modified noise spectrum and observe the effects of the GUP. The commutation relation that we have considered has an extra linear order momentum term along with a quadratic order term. Confronting our theoretical results with the observational results, we observe that we get a much tighter bound on the GUP parameters from the noise spectrum using the values of the system parameters from different experiments.