First-order superfluid–Mott-insulator transition for quantum-optical switching in cavity-QED arrays with two cavity modes

Kenji Kamide, Makoto Yamaguchi, Takashi Kimura, and Tetsuo Ogawa
Phys. Rev. A 87, 053842 – Published 29 May 2013

Abstract

We theoretically investigated the ground states of coupled arrays of cavity-quantum-electrodynamical (cavity-QED) systems in the 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 specific types 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 intercavity coherence in the superfluid phase. We also discuss the condition for the first-order transition to occur, which can lead to a strategy for future design of quantum-optical switching devices with cavity-QED arrays.

  • Received 16 January 2013

DOI:https://doi.org/10.1103/PhysRevA.87.053842

©2013 American Physical Society

Authors & Affiliations

Kenji Kamide1,*, Makoto Yamaguchi1, Takashi Kimura2, and Tetsuo Ogawa1

  • 1Department of Physics, Osaka University, Toyonaka, Osaka 560-0043, Japan
  • 2Department of Mathematics and Physics, Kanagawa University, 2946 Tsuchiya, Hiratsuka, Kanagawa 259-1293, Japan

  • *kamide@acty.phys.sci.osaka-u.ac.jp

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Vol. 87, Iss. 5 — May 2013

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