is ( | ϵ$_{F}$$_{L}$ − ϵ$_{0}$ | ) and these oscillations are present even in the limit of weak coupling. We conclude that this is a purely electronic process (plasmon oscillations). It is clear from the figure that in the strong coupling case, it contains two beating frequencies, therefore we interpret this as due to a mixture of electronic and mechanical frequencies. Secondly, in fig. 5, we have plotted the net current for fixed values of ϵ$_{F}$$_{L}$ = 1, ϵ$_{F}$$_{R}$ = 0 , tunneling energy, Γ = ℏ ω and for different values of coupling strength: η = 0 . 02 and η = 0 . 08 . We have found that in the regime ( Γ ≥ ℏ ω ), the effects of the oscillator are not apparent and the period of the nanomechanical oscillator can not be resolved. Why can the period of the oscillator not 13 FIG. 3. Net current ( I$_{L}$ ( t ) − I$_{R}$ ( t )) flowing through the system as a function of both time and of the left Fermi level for two different values of coupling strength: η = 0 . 02 (Fig. 3(a)) , and 0 . 1 (Fig. 3(b)). 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 . 0 50 100 Time 0.0 0.5 1.0 Applied voltage 0.000 0.005 0.010 Net Current 0 50 100 Time 0.0 0.5 1.0 Applied voltage 0.000 0.005 0.010 Net Current