Mainz 2017 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 25: Quantum Effects: Cavity QED II
Q 25.6: Vortrag
Dienstag, 7. März 2017, 15:45–16:00, P 4
Atomic self-organization in multi-mode cavities — •Tim Keller1, Simon B. Jäger1, Stefan Schütz2, and Giovanna Morigi1 — 1Theoretische Physik, Universität des Saarlandes, D-66123 Saarbrücken, Germany — 2icFRC, IPCMS (UMR 7504) and ISIS (UMR 7006), University of Strasbourg and CNRS, 67000 Strasbourg, France
We derive a semiclassical model for the out-of-equilibrium dynamics of laser driven atoms, which also interact with two high-Q crossed cavities as in [1]. In the semiclassical limit the dynamics of the atoms is governed by a Fokker-Planck equation (FPE) for the atomic Wigner function, which generalizes the FPE of [2]. We identify the conditions under which the stationary state of the system can exhibit (i) a paramagnetic phase, where there is no stationary intracavity field, (ii) a nematic phase where the intracavity field is of solely one of the two resonators, and (iii) a ferromagnetic phase where both cavities are populated. Each phase of the cavity field is accompanied by different atomic density distributions. We show that this system can be mapped to the Generalized Hamiltonian Mean Field model [3] and determine the phase diagram as a function of the laser parameters. We furthermore analyse the dynamics following sudden quenches across the various phases.
[1] J. Léonard et al., arXiv preprint arXiv:1609.09053 (2016).
[2] S. Schütz, H. Habibian, and G. Morigi, PRA 88, 033427 (2013).
[3] A. Pikovsky et al., Phys. Rev. E 90, 062141 (2014).