Electromagnetically Induced Transparency from Two Phonon Processes in Quadratically Coupled Membranes

TL;DR

This paper demonstrates how electromagnetically induced transparency (EIT) can occur in quadratically coupled optomechanical systems through two phonon processes, with fluctuations enabling EIT-like effects despite zero mean amplitude.

Contribution

It introduces a novel mechanism for EIT in quadratically coupled systems, emphasizing the role of displacement fluctuations over mean amplitude.

Findings

EIT-like effects can be observed in quadratically coupled optomechanical systems.

Fluctuations in displacement can mimic atomic coherence in EIT.

Existing optomechanical systems can be used to study these effects.

Abstract

We describe how electromagnetically induced transparency can arise in quadratically coupled optomechanical systems. Due to quadratic coupling the underlying optical process involves a two phonon process in optomechanical system and this two phonon process makes the mean amplitude, which plays the role of atomic coherence in traditional EIT, zero. We show how the fluctuation in displacement can play a role similar to atomic coherence and can lead to EIT-like effects in quadratically coupled optomechanical systems. We show how such effects can be studied using the existing optomechanical systems.