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arXiv · 1912.12703

Adiabatic elimination for ensembles of emitters in cavities with dissipative couplings

David Hagenmüller·Stefan Schütz·Guido Pupillo·Johannes Schachenmayer
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Abstract

We consider an ensemble of cavity-coupled two-level emitters interacting via full (coherent and dissipative) dipole-dipole interactions. Using an adiabatic elimination procedure we derive effective equations of motion for a subsystem consisting of the cavity and a single emitter. Those equations can be used for schemes to enhance the cavity-coupling of single emitters as shown in [S. Sch\"{u}tz, J. Schachenmayer, D. Hagenm\"{u}ller, G. K. Brennen, T. Volz, V. Sandoghdar, T. W. Ebbesen, C. Genes, and G. Pupillo, e-print arXiv:1904.08888]. We analyze limitations of effective subsystem parameters, and study how joint dissipative decay processes in the subsystem affect cavity-coupling properties of the single emitter and cavity transmission spectra.

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David Hagenmüller, Stefan Schütz, Guido Pupillo, Johannes Schachenmayer. 2019-12-29. Adiabatic elimination for ensembles of emitters in cavities with dissipative couplings. https://doi.org/10.1103/physreva.102.013714

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