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Erlangen 2022 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 61: Quantum Optics (Miscellaneous)

Q 61.15: Poster

Donnerstag, 17. März 2022, 16:30–18:30, P

Master equation for ultracold atoms in an optical cavity — •Tom Schmit1, Carlos Máximo2, Tobias Donner2, and Giovanna Morigi11Theoretical 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).

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