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The strong light-matter coupling of a microcavity mode to tightly boundFrenkel excitons in organic materials emerged as a versatile, room-temperaturecompatible platform to study nonlinear many-particle physics and bosoniccondensation. However, various aspects of the optical response of Frenkelexcitons in this regime remained largely unexplored. Here, we utilize ahemispheric optical cavity filled with the fluorescent protein mCherry toaddress two important questions in the field of room-temperature polaritoncondensates. First, combining the high quality factor of the microcavity with awell-defined mode structure allows us to provide a definite answer whethertemporal coherence in such systems can become competitive with theirlow-temperature counterparts. We observe highly monochromatic and coherentlight beams emitted from the condensate, characterized by a coherence timegreater than 150$\,$ps, which exceeds the polariton lifetime by two orders ofmagnitude. Second, the high quality of our device allows to sensibly trace theemission energy of the condensate, and thus to establish a fundamental picturewhich quantitatively explains the core nonlinear processes yielding thecharacteristic density-dependent blueshift. We find that the energy shift ofFrenkel exciton-polaritons is largely dominated by the reduction of theRabi-splitting due to phase space filling effects, which is influenced by theredistribution of polaritons in the system. While our finding of highlycoherent condensation at ambient conditions addresses the suitability oforganic polaritonics regarding their utilization as highly coherent roomtemperature polariton lasers, shedding light on the non-linearity is of greatbenefit towards implementing non-linear devices, optical switches, and latticesbased on exciton-polaritons at room temperature.

Coherence and Interaction in confined room-temperature polariton condensates with Frenkel excitons