Cross-Kerr effect on an optomechanical system

TL;DR

This paper investigates how the cross-Kerr effect influences an optomechanical system driven by two-tone fields, revealing enhanced bistability, the emergence of tri-stability, and altered transparency profiles, which can be used for measurement and engineering purposes.

Contribution

It demonstrates the impact of the cross-Kerr effect on bistability, transparency, and cavity quality, providing new ways to measure and manipulate optomechanical systems.

Findings

Bistability becomes more robust with CK effect.

Tri-stability can be achieved within accessible parameters.

Symmetric transparency profile is broken and shifted due to CK effect.

Abstract

We study cross-Kerr (CK) effect on an optomechanical system driven by two-tone fields. We show that in the presence of the CK effect, a bistable behavior of the mean photon number in the cavity becomes more robust against the fluctuations of the frequency detuning between the cavity mode and the control field. The bistability can also be turned into a tri-stability within the experimentally accessible range of the system parameters. Also, we find that the symmetric profile of the optomechanically induced transparency is broken and the zero-absorption point is shifted in the presence of the CK effect. This shift can be used to measure the strength of the CK effect, and the asymmetric absorption profiles can be employed to engineer a high quality factor of the cavity.