Non-equilibrium Si Valley Quantum Dots : Devices and Spectroscopy

Motivated by the recent experiment on highly resolved valley spectroscopy for Si double quantum dots [1] in a circuit-QED architecture, we show that [2] such setups have the potential to perform as excellent quantum devices (for e.g, microwave amplifiers). We investigate this setup by employing the diagrammatic Keldysh Non-equilibrium Greens function's approach [3,4] and study the gain in the microwave photon transmission. This diagrammatic technique further provides a systematic and transparent way to understand the small energy/valley splitting in the low-lying Si energy states as captured in the transmission spectroscopy via multiple dips [5].
[1] X. Mi, C. G. Peterfalvi, G. Burkard, and J. R. Petta, Phys. Rev. Lett. 119, 176803 (2017).
[2] B. K. Agarwalla, M. Kulkarni, and G. Burkard, (in preparation).
[3] B. K. Agarwalla, M. Kulkarni, S. Mukamel, and D. Segal, Phys. Rev. B 94, 035434 (2016).
[4] B. K. Agarwalla, M. Kulkarni, S. Mukamel, and D. Segal, Phys. Rev. B 94, 121305(R) (2016).
[5] G. Burkard and J. R. Petta, Phys. Rev. B 94, 195305 (2016).