Regensburg 2016 – wissenschaftliches Programm

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HL: Fachverband Halbleiterphysik

HL 53: Poster II

HL 53.21: Poster

Mittwoch, 9. März 2016, 09:30–13:30, Poster A

Hybrid density matrix approach as a factorization scheme for many-body systems — •Sandra Kuhn and Marten Richter — Institut für Theoretische Physik, Nichtlineare Optik und Quantenelektronik, Technische Universität Berlin, EW 7-1, Germany

Semiconductor quantum dots coupled to an embedding bulk, quantum well or wetting layer carrier reservoir play a significant role in a variety of applications. These structures represent an important example of a hybrid system, which consist of a subsystem with localized, discrete states and a subsystem with quasi continuous states. However, both systems (quantum dot and carrier reservoir) constitute many-body systems with different properties, which requires a description including different approximations. We developed a theoretical factorization scheme to describe interactions between those hybrid many-body systems. The used projection operator technique combines the advantages of conventional correlation expansions and an exact diagonalization scheme. In particular, the approach allows a dynamical treatment of the continuum and is capable of including Non-Markovian effects. Thus, the presented hybrid density matrix approach goes beyond the Markovian approximation typically used in Lindblad formalism to describe scattering processes. The method is illustrated on the example of Coulomb scatterings between quantum dot and surrounding bulk material. However, the approach is also applicable to other systems and interactions mechanisms such as electron-phonon interactions [1].
[1] S.C. Kuhn and M. Richter, PRB 91, 155309 (2015).