Nuclear spin polarization in quantum dots – The homogeneous limit

We theoretically discuss the dynamical quantum process of polarizing the nuclear spins in a quantum dot via the hyperfine interaction with the electron spin. The limit of homogeneous couplings, i.e. a flat electronic wave function, is analyzed in detail and approximate analytical solutions are shown to provide accurate results, allowing for the determination of cooling potential and rates, both of which reflect the effect of polarization-limiting dark states. We further provide a detailed microscopic description of these states that proves useful for the analysis of the effect of electron wave function changes during the cooling procedure.

Graphical abstractWe theoretically discuss the dynamical quantum process of polarizing the nuclear spins in a quantum dot via the hyperfine interaction with the electron spin.Figure optionsDownload full-size imageDownload as PowerPoint slide