Selective linear or quadratic optomechanical coupling via measurement

TL;DR

This paper presents a measurement-based scheme to engineer both linear and quadratic optomechanical couplings, enabling the generation of non-Gaussian mechanical states, with potential applications in quantum mechanics research.

Contribution

It introduces a novel measurement protocol to selectively realize linear or quadratic optomechanical coupling using linear interactions.

Findings

Comparison of quadratic measurement strength with dispersive coupling

Proposed experimental protocol for non-Gaussian state generation

Parameter set for observing non-Gaussian mechanical states

Abstract

The ability to engineer both linear and non-linear coupling with a mechanical resonator is an important goal for the preparation and investigation of macroscopic mechanical quantum behavior. In this work, a measurement based scheme is presented where linear or square mechanical displacement coupling can be achieved using the optomechanical interaction linearly proportional to the mechanical position. The resulting square displacement measurement strength is compared to that attainable in the dispersive case using the direct interaction to the mechanical displacement squared. An experimental protocol and parameter set are discussed for the generation and observation of non-Gaussian states of motion of the mechanical element.