Mainz 2026 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 57: Open Quantum Systems III
Q 57.4: Vortrag
Donnerstag, 5. März 2026, 15:15–15:30, P 4
Open quantum system dynamics with semi-group influence matrices — •Valentin Link1, Hong-Hao Tu2, and Walter Strunz3 — 1Institut für Physik und Astronomie, Technische Universität Berlin, 10623, Berlin, Germany — 2Faculty of Physics and Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, 80333 München, Germany — 3Institut für Theoretische Physik, Technische Universität Dresden, 01062, Dresden, Germany
Approaching the long-time dynamics of non-Markovian open quantum systems presents a challenging task when the bath is strongly coupled. Recent proposals address this problem by representing temporal correlations encoded in the environmental influence matrix in terms of a compressed matrix product operator (MPO). I present a highly efficient algorithm to generate such an MPO form, utilizing infinite tensor-network methods. The resulting uniform MPO representation defines a dynamical semigroup in a reduced auxiliary space, allowing us to directly target long evolution times. I demonstrate the capabilities of this approach for computing dynamical quantities in spin-boson and single-impurity Anderson models.
[1] V. Link, H. H. Tu, W. T. Strunz, Phys. Rev. Lett. 132, 200403 (2024) [2] M. Sonner, V. Link, D. A. Abanin, Phys. Rev. Lett. 135, 170402 (2025)
Keywords: open quantum systems; tensor networks; spin boson model; matrix product states; non-Markovian