A thermal bath induced Rabi splitting on the profile of Mollow spectrum in single molecule spectroscopy

We consider the system heat bath model to construct the dynamical evolution of the reduced density of the system when the reservoir has a finite bandwidth at finite temperature. The effect of Lorentzian bandwidth of the bath is shown in the resonance fluorescence spectra from a driven two-level single molecule. Our analysis reveals that depending on the availability of the bath modes, the width of the spectral peaks can change dramatically. With the increase in temperature, the central peak disintegrates into twin peaks, i.e. a reservoir induced extra resonance is observed at finite temperature.