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Q: Fachverband Quantenoptik und Photonik
Q 61: Quantum Optics (Miscellaneous)
Q 61.15: Poster
Thursday, March 17, 2022, 16:30–18:30, P
Master equation for ultracold atoms in an optical cavity — •Tom Schmit1, Carlos Máximo2, Tobias Donner2, and Giovanna Morigi1 — 1Theoretical Physics, Department of Physics, Saarland University, 66123 Saarbrücken, Germany — 2Institute for Quantum Electronics, Eidgenössische Technische Hochschule Zürich, Otto-Stern-Weg 1, 8093 Zürich, Switzerland
The recent progress in the control of ultracold quantum gases in optical cavities enabled the realization of quantum simulators to study collective phenomena, such as self-organization. The theoretical description of these
systems, however, still poses a big challenge due to the exponential scaling of the Hilbert space in the number of particles, making the full solution of
the system’s dynamical equations inaccessible, both analytically and numerically. Suitable approximations, most prominently adiabatic and mean-field
approximations, are typically the way to tackle this problem, effectively reducing the dimension of the Hilbert space. In this work, we employ projector
based techniques [1,2] to derive a description of self-organization of ultracold atoms in an optical cavity including first-order mean-field corrections.
The effect of these corrections is then analyzed by comparing to the mean-field model, i.e., the lowest-order approximation.
[1] C. R. Willis and R. H. Picard, Phys. Rev. A 9, 3 (1974).
[2] P. Degenfeld-Schonburg and M. J. Hartmann, Phys. Rev. B 89, 245108 (2014).