Temporal Behavior of Rabi Oscillation in Nanomechanical QED System with a Nonlinear Resonator

TL;DR

This paper investigates how nonlinearity and decay rates influence the temporal dynamics of Rabi oscillations in a nanomechanical QED system with a nonlinear resonator, providing analytical insights into the system's behavior.

Contribution

It introduces an analytical study of Rabi oscillation dynamics in a nonlinear nanomechanical QED system using a microscopic master equation approach.

Findings

Nonlinearity parameter significantly affects Rabi oscillation decay.

Decay rates of excited states influence oscillation amplitude and damping.

Analytic solutions describe the interplay between nonlinearity and dissipation.

Abstract

In nanomechanical QED system, consisting of a charge qubit and a nonlinear nanomechanical resonator, we study the temporal behavior of Rabi oscillation in the nonlinear Jaynes-Cummings model. Using microscopic master equation approach, we solve time evolution of the density operator describing this model. Also, the probability of excited state of charge qubit is calculated. These analytic calculations show how nonlinearity parameter and decay rates of two different excited states of the qubit-resonator system affect time-oscillating and decaying of Rabi oscillation.