Mainz 2026 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 71: Cavity QED and QED II
Q 71.6: Vortrag
Freitag, 6. März 2026, 12:15–12:30, P 4
Master Equation for a quantum gas of polarizable particles in Cavities — •Tom Schmit1, Catalin-Mihai Halati2, Tobias Donner3, Giovanna Morigi1, and Simon B. Jäger4 — 1Theoretische Physik, Universität des Saarlandes, 66123 Saarbrücken, Germany — 2Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany — 3Institute for Quantum Electronics, Eidgenössische Technische Hochschule Zürich, Otto-Stern-Weg 1, 8093 Zurich, Switzerland — 4Physikalisches Institut, University of Bonn, Nußallee 12, 53115 Bonn, Germany
Quantum gases of atoms and molecules in optical cavities offer a formidable laboratory for studying the out-of-equilibrium dynamics of long-range interacting systems. The interaction is mediated by multiple scattering of cavity photons and can induce emerging patterns and self-organized structures determined by the interplay of photon-mediated forces, dissipation, and quantum and thermal fluctuations. Theoretical descriptions of these phenomena often rely on mean-field or weak-coupling approximations, though their validity in this context can be limited or even questionable. In this work, we present the derivation of a Lindblad master equation for the dynamics of the sole motional variables of polarizable particles, such as atoms or molecules, that dispersively couple to cavity fields. We validate the theoretical description by showing that it captures the dynamics from weak to strong cavity-mediated interactions. Our theory provides a powerful framework for the description of out-of-equilibrium dynamics of quantum gases in cavities and their relaxation towards their steady state.
Keywords: Cavity QED; Polarizable particles; Self-organization; Lindblad master equation; Long-range interaction