# Heidelberg 2015 – wissenschaftliches Programm

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# Q: Fachverband Quantenoptik und Photonik

## Q 15: Poster: Quantum Optics and Photonics I

### Q 15.45: Poster

### Montag, 23. März 2015, 17:00–19:00, C/Foyer

**Stationary and Transient Properties of Photon Condensates** — •Milan Radonjić^{1}, Antun Balaž^{2}, Wassilij Kopylov^{3}, Tobias Brandes^{3}, and Axel Pelster^{4} — ^{1}Photonics Center, Institute of Physics Belgrade, University of Belgrade, Serbia — ^{2}Scientific Computing Laboratory, Institute of Physics Belgrade, University of Belgrade, Serbia — ^{3}Institute for Theoretical Physics, Technische Univesität Berlin, Germany — ^{4}Physics Department and Research Center OPTIMAS, Technische Universität Kaiserslautern, Germany

A seminal experiment in Bonn has presented convincing evidence of both a Bose-Einstein distribution and a macroscopic occupation of the lowest mode for a gas of photons confined in a dye-filled optical microcavity. Here we investigate how these equilibrium properties could be understood within the framework of a recent non-equilibrium model of photons in terms of a steady state solution. It turns out that, depending on the dye pumping rate and the cavity decay rate, different modes become macroscopically occupied. We present the corresponding phase diagrams and describe the transitions between the phases analytically. Furthermore, we obtain a moment generating function for the photon statistics and calculate the stationary equal-time autocorrelation function. Using a linear stability analysis we demonstrate that the stationary states are always unconditionally stable. We also examine how the relaxation times toward equilibrium depend on the respective system parameters and compare them with the thermalization times obtained experimentally from the corresponding transient dynamics.