Photon correlations in a two-site non-linear cavity system under coherent drive and dissipation
arXiv:1007.0384 · doi:10.1103/PhysRevA.82.013841
Abstract
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.
9 pages, 4 figures, to appear in Phys. Rev. A
References in corpus (27)
- Quantum nature of a strongly-coupled single quantum dot-cavity system
- Strongly Interacting Polaritons in Coupled Arrays of Cavities
- Quantum phase transitions of light
- Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
- Single photons from coupled quantum modes
- Quantum Many-Body Phenomena in Coupled Cavity Arrays
- Linear and nonlinear optical spectroscopy of a strongly-coupled microdisk-quantum dot system
- Dispersive regime of circuit QED: photon-dependent qubit dephasing and relaxation rates
- Nonlinear response of the vacuum Rabi resonance
- Nonlinear spectroscopy of photons bound to one atom
- Crystallization of strongly interacting photons in a nonlinear optical fiber
- Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
- The quantum optical Josephson interferometer
- Fractional Quantum Hall State in Coupled Cavities
- Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
- Effective spin systems in coupled micro-cavities
- Luminescence Spectra of Quantum Dots in Microcavities. II. Fermions
- Dynamics in a coupled-cavity array
- Strong coupling theory for the Jaynes-Cummings-Hubbard model
- GaAs photonic crystal cavity with ultra-high Q: microwatt nonlinearity at 1.55 m
- Quantum Fluctuations, Temperature and Detuning Effects in Solid-Light Systems
- Heralded generation of entanglement with coupled cavities
- Quantum phase transitions in photonic cavities with two-level systems
- Excitation spectra of strongly correlated lattice bosons and polaritons
- Quantum theory of exciton-photon coupling in photonic crystal slabs with embedded quantum wells
- Reproducing spin lattice models in strongly coupled atom-cavity systems
- Nonlinear relaxation of 0-dimension-trapped microcavity polaritons