of the coupling strength between the electrons and the nanomechanical oscillator, and of the left chemical potential 0 ≤ ϵ$_{F}$$_{L}$ ≤ 1. The nanomechanical oscillator induced resonance effects are clearly visible in the numer- ical results. It must be noted that we have obtained these results in the regime of both 11 FIG. 2. Total current ( I$_{L}$ ( t ) + I$_{R}$ ( t )) flowing onto the dot as a function of time for fixed values of ϵ$_{0}$ = 0 . 5 , $^{ℏ}$ω = 0 . 1 , Γ = 0 . 1 , η = 0 . 05 , ϵ$_{FR}$ = 0 , ϵ$_{FL}$ = 1 . This current (solid line) is equivalent to the rate of change of dot population d $_{dt}$ρ ( t ) (dashed line) as a function of time for same parameters as of current. In this figure, solid and dashed lines have same values at all points. Units: all the parameters have same dimension as of $^{ℏ}$ω . FIG. 1. Time-dependent dot population ρ ( t ) against time for different pairs of the right and the left Fermi energies (0,0), (0,1), (1,1). The dotted line correspond to empty, dashed line correspond to half full and solid line corresponds to almost full state of the dot. Parameters: ϵ$_{0}$ = 0 . 5 , $^{ℏ}$ω = 0 . 1 , Γ = 0 . 1 , η = 0 . 05 . Units: all the parameters have same dimension as of $^{ℏ}$ω . 0 2 4 6 8 10 12 14 0.0 0.2 0.4 0.6 0.8 Time Ρ GLYPH<LParen1> t GLYPH<RParen1> 0 5 10 15 20 25 30 0.00 0.02 0.04 0.06 0.08 0.10 Time Total Current