FIG. 4. Net current ( I$_{L}$ ( t ) − I$_{R}$ ( t )) flowing through the system as a function of time for two different values of coupling strength: η = 0 . 02 (dotted line) , and 0 . 08 (solid line). Parameters: ϵ$_{0}$ = 0 . 5 , ϵ$_{FR}$ = 0 , ϵ$_{FL}$ = 1 , $^{ℏ}$ω = 0 . 1 , Γ = 0 . 01. Units: all the parameters have same dimension as of $^{ℏ}$ω . FIG. 5. Net current ( I$_{L}$ ( t ) − I$_{R}$ ( t )) flowing through the system as a function of time for two different values of coupling strength: η = 0 . 02 (dotted line) , and 0 . 08 (solid line), and Γ = 0 . 1. All the parameters are same as in fig. 4 and have same dimension as of $^{ℏ}$ω . be resolved by the electrons in this limit? In this regime, electrons spend less time on the dot than the period of the oscillator. Therefore, electrons do not resolve the period of the nanomechanical oscillator. Now we will focus only in the regime of small tunneling Γ < ℏ ω , for further discussion in order to analyze the dynamics of the nanomechanical oscillator and the effects of coupling between the electrons and the nanomechanical oscillator. Next we have shown the average energy of the nanomechanical oscillator as a function of 14 0 20 40 60 80 100 120 140 0.00975 0.00980 0.00985 0.00990 0.00995 0.01000 Time Net Current 0 10 20 30 40 50 60 70 0.0865 0.0870 0.0875 0.0880 Time Net Current