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Energy absorption in gate controlled quantum dots

Shukun Shi

Purdue e-Pubs (Purdue University System), 2013

Abstract

Energy absorption in quantum dots is investigated. We have calculated energy absorption without using any phenomenological parameters, such as correlation time. We have considered absorption in a correlated system of quantum dots in the presence of charging effects, when energy of the dot and effective tunneling rate on and off the dot depend on the electron charge in the dot. We developed theory of energy absorption in the presence of a.c. electromagnetic field in a quantum dot. Quantum dot has been considered as a system with two discrete energy levels. We have neglected effects of natural line width, and aimed at finding absorption due to intrinsic properties of electrons in quantum dots and their interactions with surrounding structure. We observed that once the natural line width is neglected, in absence of interactions with some other system with continuous spectra, two discrete levels in the presence of a.c. perturbation will sustain Rabi oscillations, but no absorption of energy will take place. We have chosen electrons in contacts to a lateral quantum dot as a system with continuous spectrum that interacts with electrons of discrete spectra in a quantum dot. We demonstrated that tunneling on and off the dot results in energy absorption. We have calculated electron density matrix and absorption of energy in a small quantum dot, in which one-electron energy scale exceeds that of charging effects. We developed general theory of such absorption and constructed a…

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