Regensburg 2019 – wissenschaftliches Programm
HL 45.42: Poster
Donnerstag, 4. April 2019, 18:30–21:00, Poster E
Calculation of Emitter-Photon Waveguide Dynamics Using Binary Tensor Networks — •Oliver Kästle, Sandra Kuhn, and Marten Richter — Institut für Theoretische Physik, Nichtlineare Optik und Quantenelektronik von Halbleitern, Technische Universität Berlin, 10623 Berlin, Germany
We investigate the radiation dynamics of semiconductor quantum dots within a one-dimensional waveguide, where spontaneous radiative decay is caused by electron-photon interactions. Typically the coupling elements are approximated by a constant coupling rate to avoid the numerical demand for non-Markovian calculations. We utilize tensor networks to act as a data compression scheme for high dimensional tensors, yielding the possibility to calculate the dynamics of even large quantum many-body systems . The proposed method allows for the use of millions of grid points for photonic wave numbers and their corresponding coupling elements, enabling investigations of non-Markovian dynamics of several quantum dots and multiple photons inside the waveguide. The density matrix elements are decomposed into matrix product states (MPS) using a bit decomposition scheme. System operators are constructed from binary logic gates, imposing the system dynamics on the bit-encoded MPS.
 S. Kuhn and M. Richter, arXiv:1807.09036v1 (2018).