Molecular spectra in collective Dicke states

Abstract

We study a model describing competition of interactions between $N$ two-level systems (TLSs) against decoherence. We apply it to analyze dye molecules in an optical microcavity, where molecular vibrations provide a local source for decoherence. Most interesting is the case when decoherence strongly affects each individual TLS, e.g. via broadening of emission lines as well as vibrational satellites, however its influence is strongly suppressed for large $N$ due to the interactions between TLSs. In this interaction dominated regime we find unique signatures in the emission spectrum, including strong $\mathcal{O}(\sqrt{N})$ level shifts, as well as $1/N$ suppression of both the decoherence width and of the vibrational satellites.

13 pages, 8 figures

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• Quantum XX-model with competing short- and long-range interactions: Phases and phase transitions in and out of equilibrium
• Entanglement production by statistical operators
• The ergodic and non-ergodic phases in one dimensional clean Jaynes-Cummings-Hubbard system
• Phase transitions in definite total spin states of two-component Fermi gases
• Single particle model of a strongly driven, dense, nanoscale quantum ensemble
• Cooperative phase transitions in the system of photons and dye molecules
• On the Conditions for a Quantum Violent Relaxation