Erlangen 2018 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 39: Poster: Quantum Optics and Photonics II

Q 39.9: Poster

Dienstag, 6. März 2018, 16:15–18:15, Zelt Ost

Iterative Time Ordering for Optimal Control of Open Quantum Systems — •Lutz Marder and Christiane P. Koch — Institut für Physik, Universität Kassel, Heinrich-Plett-Str. 40, 34132 Kassel (Germany)

An explicit time-dependence of the Hamiltonian, for example due to an external driving field, introduces an additional challenge for dynamical simulations. The most commonly used propagation approaches usually rely on dividing the overall propagation time into small steps, in which the time-dependence of the Hamiltonian is approximately constant and the time evolution operator becomes a matrix exponential. This inevitably introduces inaccuracies due to neglection of time ordering. In contrast, the iterative time ordering (ITO) approach allows to fully account for any explicit time-dependence of the Hamiltonian. It was originally constructed for numerically exact propagation in Hilbert space for state vectors. Here, we generalize it to density matrices and use the driven quantum harmonic oscillator for benchmarking. Furthermore we discuss the combination of this algorithm with quantum optimal control theory and apply it to a strongly driven superconducting circuit.