Controlling Excitations Inversion of a Cooper Pair Box Interacting with a Nanomechanical Resonator

TL;DR

This paper explores how time-dependent detunings can control excitation dynamics in a Cooper pair box coupled to a nanomechanical resonator, demonstrating methods to preserve quantum effects despite damping.

Contribution

It introduces a novel approach using time-dependent detunings within the Jaynes-Cummings model to manage excitations in a coupled quantum-mechanical system.

Findings

Time-dependent detunings can restore collapse and revival effects.

Mean excitation of the resonator is more robust against damping.

Proper detuning choices improve quantum control in the system.

Abstract

We investigate the action of time dependent detunings upon the excitation inversion of a Cooper pair box interacting with a nanomechanical resonator. The method employs the Jaynes-Cummings model with damping, assuming different decay rates of the Cooper pair box and various fixed and t-dependent detunings. It is shown that while the presence of damping plus constant detunings destroy the collapse/revival effects, convenient choices of time dependent detunings allow one to reconstruct such events in a perfect way. It is also shown that the mean excitation of the nanomechanical resonator is more robust against damping of the Cooper pair box for convenient values of t-dependent detunings.