Kenji Kamide, Makoto Yamaguchi, Takashi Kimura, Tetsuo Ogawa
We theoretically investigated the ground states of coupled arrays of cavity quantum electrodynamical (CQED) systems in presence of two photon modes. Within the Gutzwiller-type variational approach, we found the first-order quantum phase transition between Mott insulating and superfluid phases as well as the conventional second-order one. The first-order phase transition was found only for a specific type of emitter models, and its physical origin is clarified based on the analytic arguments which are allowed in the perturbative and semiclassical limits. The first-order transition of the correlated photons is accompanied with discontinuous change in the emitter states, not only with the appearance of inter-cavity coherence of photons. Our result gives a clear insight on the condition for the firsy-order transition to occur, and can give a strategy for future design of quantum optical switching device with CQED arrays.
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http://arxiv.org/abs/1301.1869
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