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MO: Fachverband Molekülphysik
MO 30: Molecular Spectroscopy and Theoretical Approaches
MO 30.6: Vortrag
Freitag, 14. März 2025, 15:45–16:00, HS XVI
A Hierarchical Approach to Quantum Many-Body Systems in Structured Environments — Kai Müller1, Kimmo Luoma2, and •Christian Schäfer3 — 1Institut für Theoretische Physik, Technische Universität Dresden, D-01062 Dresden, Germany — 2Department of Physics and Astronomy, University of Turku, 20014 Turku, Finland — 3Department of Physics, Chalmers University of Technology, 412 96 Göteborg, Sweden
Open quantum systems featuring non-Markovian dynamics are routinely solved using techniques such as the Hierarchical Equations of Motion (HEOM) but their usage of the system density-matrix renders them intractable for many-body systems. Here, we combine the HEOM with the BBGKY hierarchy to reach a consistent and rigorous description of open many-body systems and their quantum dynamics. [Kai Müller, Kimmo Luoma, and Christian Schäfer, arXiv:2405.05093.] We demonstrate first the strength and limitations of this stacked hierarchy for superradiant emission and spin-squeezing of established quantum optical models before presenting its full potential for quantum many-body systems. In particular, we explicitly simulate the impact of charge noise on the dynamic of the Fermi-Hubbard model subject to a structured bath comprising cavity and vibro-phononic environment. Lastly, we discuss few-emitter lasing to further elaborate the flexibility of the stacked hierarchy. Our work establishes an accessible, yet rigorous, route between condensed matter and quantum optics, fostering the growth of a new domain at their interface.
Keywords: Many-body interaction; Cavity QED; System-Bath; Non-Markovian; Electronic Correlation