Electrically coupled optomechanical cavities as a tool for quantum nondemolition measurement

TL;DR

This paper introduces a model of two electrically coupled optomechanical cavities that exhibit cross-Kerr interactions, enabling quantum nondemolition measurements with adjustable nonlinearities, potentially feasible for experimental realization.

Contribution

It proposes a new Coulomb-force-based coupling model for optomechanical cavities that facilitates quantum nondemolition measurement protocols.

Findings

Cross-Kerr interactions are achievable via Coulomb coupling.

Self-phase modulation effects can be effectively eliminated.

The model's nonlinearities are tunable through accessible parameters.

Abstract

We present a new model of two electrically coupled optomechanical cavities. This model is based on the recently presented [Physical Review A \textbf{103} (2021) 043509]. We found that coupling two optomechanical cavities via Coulomb force leads to cross-Kerr interactions between those cavities. We show that such systems may be ideal for a protocol of quantum non-demolition measurement because it is easy to eliminate the self-phase modulation effect. Moreover, nonlinearities in our model are based on easily adjustable parameters, and therefore, given recent experimental studies, we believe that experimental realization of a cross-Kerr interaction via Coulomb force coupling is feasible.