Tensor network simulation of non-Markovian dynamics in organic polaritons

We calculate the exact many-body time dynamics of polaritonic states supported by an optical cavity filled with organic molecules. Optical, vibrational, and radiative processes are treated on an equal footing employing the time-dependent variational matrix product states algorithm. We demonstrate signatures of non-Markovian vibronic dynamics and its fingerprints in the far-field photon emission spectrum at arbitrary light-matter interaction scales, ranging from the weak to the strong coupling regimes. We analyze both the single- and many-molecule cases, showing the crucial role played by the collective motion of molecular nuclei and dark states in determining the polariton dynamics and the subsequent photon emissionThis work has been funded by the European ResearchCouncil (ERC-2011-AdG-290981 and ERC-2016-STG-714870), by the European Union Seventh FrameworkProgramme under Grant Agreement No. FP7-PEOPLE-2013-CIG-618229, and the Spanish MINECO underContract No. MAT2014-53432-C5-5-R and the“Maríade Maeztu”programme for Units of Excellence in R&D(MDM-2014-0377