Erlangen 2018 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 38: Poster: Quantum Optics and Photonics I

Q 38.1: Poster

Tuesday, March 6, 2018, 16:15–18:15, Orangerie

Mean-Field Dynamics of a Homogeneous Photon Bose-Einstein Condensate — Enrico Stein and •Axel Pelster — Physics Department and Research Center OPTIMAS, Technical University of Kaiserslautern, Erwin-Schrödinger Straße 46, 67663 Kaiserslautern, Germany

We show, that a Bose-Einstein condensate of photons [1,2] can be described consistently on the mean-field level by using an open-dissipative Gross-Pitaevski approach as it is widely used in the community of exciton-polariton condensates [3,4]. In our context this means to set up a pair of coupled mean-field equations, one for the coherent condensate wave function and one for the diffusion of temperature in the dye solution. With this mean-field approach at hand we perform a linear stability analysis for a homogeneous photonic BEC. At first, we determine the steady state, from which we deduce a photon-photon interaction strength agreeing with the experimental value [2,4]. Afterwards, we analyze small deviations from the BEC steady state, yielding both the Bogoliubov spectrum and its damping. In particular, we show that the Goldstone theorem turns out to be valid even for such an open-dissipative photonic system. Finally, we note that our mean-field modelling yields for experimenal realistic parameters a stable BEC steady state as both pumping and dissipation are included.

[1] J. Klaers et al., Nature 468, 545 (2010)

[2] J. Klaers et al., Appl. Phys. B 105, 17 (2011)

[3] M. Wouters and I. Carusotto, Phys. Rev. Lett. 99, 140402 (2007)

[4] D. Dung et al., Nature Photonics 11, 565 (2017)