The complete knowledge of the statistics and, in concrete, the properties of the fluctuations of the number of particles emitted from a quantum system has been a topic of intense studies in quantum optics and, in more recent years, in quantum transport. In particular, purely quantum features like an anti-bunching of photons emitted from a closed two-level atom under a resonant field (Resonance Fluorescence), or a bunching of electrons tunneling through interacting two-levels quantum dots have been reported.
We propose a solid state analogue to Resonance Fluorescence systems in a two-level quantum dot irradiated by a time-dependent monochromatic ac field where the statistics of the spontaneously emitted phonons and the transmitted electrons can be studied. Recent experiments have achieved to measure high order moments for the non-driven electronic case in similar systems, but the phonon case is still unchallenged. We develope a method that allows us to extract simultaneously the full counting statistics of the electronic tunneling and relaxation (by phononic emission) events as well as their correlation. We find that the quantum noise of both the transmitted electrons and the emitted phonons can be controlled and tuned back and forth between sub and super-Poissonian values by the manipulation of the external parameters: the driving field intensity and the bias voltage. Further, this method allows us to obtain the electron-phonon correlations and study how they can be affected by the driving field.
R. Sánchez, G. Platero and T. Brandes, Phys. Rev. Lett. 98, 146805 (2007). R. Sánchez, G. Platero and T. Brandes, Phys. Rev. B 78, 125308 (2008).