Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2010-07-02
PhysRevA.82.013841 (2010)
Physics
Condensed Matter
Other Condensed Matter
9 pages, 4 figures, to appear in Phys. Rev. A
Scientific paper
10.1103/PhysRevA.82.013841
We calculate the normalized second-order correlation function for a system of two tunnel-coupled photonic resonators, each one exhibiting a single-photon nonlinearity of the Kerr type. We employ a full quantum formulation: the master equation for the model, which takes into account both a coherent continuous drive and radiative as well as non-radiative dissipation channels, is solved analytically in steady state through a perturbative approach, and the results are compared to exact numerical simulations. The degree of second-order coherence displays values between 0 and 1, and divides the diagram identified by the two energy scales of the system - the tunneling and the nonlinear Kerr interaction - into two distinct regions separated by a crossover. When the tunneling term dominates over the nonlinear one, the system state is delocalized over both cavities and the emitted light is coherent. In the opposite limit, photon blockade sets in and the system shows an insulator-like state with photons locked on each cavity, identified by antibunching of emitted light.
Andreani Lucio Claudio
Ferretti Stefano
Gerace Dario
Tureci Hakan E.
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