SKM 2023 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 9: Quantum Dynamics, Decoherence and Quantum Information
DY 9.9: Vortrag
Montag, 27. März 2023, 16:15–16:30, MOL 213
Quantum Non-Markovianity made simple through extended states — Meng Xu1, Yaming Yan2, Qiang Shi2, Joachim Ankerhold1, and •Jürgen T. Stockburger1 — 1Institute for Complex Quantum Systems and IQST, Ulm University — 2Beijing National Laboratory for Molecular Sciences, Chinese Academy of Sciences
We present a recent computational treatment of non-Markovianity [1] in open-system quantum dynamics. Focusing more on intrinsic timescales than on properties of a quantum channel and its generator, we extend the Hierarchical Equations of Motion (HEOM) approach through a highly efficient decomposition of environmental correlation functions into complex exponentials. Complex dynamics at ultralow temperatures and long reservoir timescales becomes tractable by this approach. We demonstrate that our version of the HEOM approach is closely related to an entire family of extended-state approaches, with our new approach being favored through a comparably low number of auxiliary dimensions. The accurate reproduction of long-time algebraic tails in an open-system correlation function provides a benchmark result.
[1] M. Xu et al., Phys. Rev. Lett. 129, 230601 (2022).