Cross-Kerr nonlinearity in optomechanical systems
R. Khan, F. Massel, T. T. Heikkil\"a

TL;DR
This paper investigates how a nanomechanical resonator coupled to an electromagnetic cavity exhibits modified dynamics due to both radiation pressure and cross-Kerr effects, providing insights into nonlinear optomechanical interactions.
Contribution
It introduces a mean field approach to analyze the combined influence of radiation pressure and cross-Kerr coupling on system dynamics, highlighting corrections to linearized models.
Findings
Identification of corrections from cross-Kerr coupling to standard optomechanical dynamics
Development of a mean field method for analyzing nonlinear interactions
Insights into the interplay between radiation pressure and cross-Kerr effects
Abstract
We consider the response of a nanomechanical resonator interacting with an electromagnetic cavity via a radiation pressure coupling and a cross-Kerr coupling. Using a mean field approach we solve the dynamics of the system, and show the different corrections coming from the radiation pressure and the cross-Kerr effect to the usually considered linearized dynamics.
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