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Dresden 2017 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 63: Poster: Quantum Dots and Optics

HL 63.70: Poster

Wednesday, March 22, 2017, 15:00–19:00, P1A

Computer-aided cluster expansion: An efficient algebraic approach for open quantum many-particle systems — •Alexander Foerster1, Alexander Leymann2, and Jan Wiersig11Otto-von-Guericke University Magdeburg, D-39016 Magdeburg, Germany — 2Max Planck Institute for the Physics of Complex Systems, D-01187 Dresden, Germany

We introduce a computer-aided algebraic approach for a microscopic description of open quantum systems that we made available as open-source software[1]. The presentation combines the conceptual ideas of the computer-aided cluster expansion with the application to a current research topic - superradiance of semiconductor quantum dots. We exploit a configuration formulation that allows for an exact treatment of a subsystem e.g. a multilevel quantum dot [2,3]. The fundamental object of the system is described exactly while correlations between objects can be treated on different levels of approximation. Our program provides an efficient algebraic approach to derive equations of motion, while the user can focus on the physical modeling and conceptional questions. The procedures offer a variety of approximations applicable for finite systems with strong coupling as well as large systems where augmented mean-field theories apply.
A. Foerster, H.A.M. Leymann, and J. Wiersig , Comput. Phys. Commun., http://dx.doi.org/10.1016/j.cpc.2016.10.010, (2016)
H.A.M. Leymann, A. Foerster, et al., Phys. Rev. Applied 4, 044018 (2015)
F. Jahnke, ..., A. Foerster, et al., Nat. Comm. 7, 11540 (2016)

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