Quantum phase transitions in photonic cavities with two-level systems
MI Makin, Jared H Cole, Charles Tahan, Lloyd CL Hollenberg, Andrew D Greentree
PHYSICAL REVIEW A | AMER PHYSICAL SOC | Published : 2008
Systems of coupled photonic cavities have been predicted to exhibit quantum phase transitions by analogy with the Hubbard model. To this end, we have studied topologies of few (up to six) photonic cavities each containing a single two-level system. Quantum phase space diagrams are produced for these systems, and compared to mean-field results. We also consider finite effective temperature, and compare this to the notion of disorder. We find the extent of the Mott lobes shrink analogously to the conventional Bose-Hubbard model. © 2008 The American Physical Society.