Vacuum Rabi Splitting in Nanomechanical QED System with Nonlinear Resonator

TL;DR

This paper investigates vacuum Rabi splitting in a nanomechanical QED system with a nonlinear resonator, using an analytical driven nonlinear Jaynes-Cummings model and numerical validation to understand the effects of nonlinearity and driving strength.

Contribution

It introduces an analytical approach to study vacuum Rabi splitting in a nonlinear nanomechanical QED system, combining quantum regression and master equation methods.

Findings

Analytical correlation spectrum derived for weak driving limit.

Nonlinearity and driving strength significantly influence the spectrum.

Numerical results confirm analytical predictions.

Abstract

Considering the intrinsic nonlinearity in a nanomechanical resonator coupled to a charge qubit, vacuum Rabi splitting effect is studied in a nanomechanical QED (qubit-resonator) system. A driven nonlinear Jaynes-Cummings model describes the dynamics of this qubit-resonator system. Using quantum regression theorem and master equation approach, we have calculated the two-time correlation spectrum analytically. In the weak driving limit, these analytical results clarify the influence of the driving strength and nonlinearity parameter on the correlation spectrum. Also, numerical calculations confirm these analytical results.