Collective Interactions in an Array of Atoms Coupled to a Nanophotonic Waveguide
arXiv:1310.6241 · doi:10.1103/PhysRevA.89.043831
Abstract
A lattice of trapped atoms strongly coupled to a one-dimensional nanophotonic waveguide is investigated in exploiting the concept of polariton as the system natural eigenstate. We apply a bosonization procedure, which was presented separately by P. W. Anderson and V. M. Agranovich, to transform excitation spin-half operators into interacting bosons, and which shown here to confirm the hard-core boson model. We derive polariton-polariton kinematic interactions and study them by solving the scattering problem. In using the excitation-photon detuning as a control parameter, we examine the regime in which polaritons behave as weakly interacting photons, and propose the system for realizing superfluidity of photons. We implement the kinematic interaction as a mechanism for nonlinear optical processes that provide an observation tool for the system properties, e.g. the interaction strength produces a blue shift in pump-probe experiments.
12 pages, 12 figures
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- Multi-qubit entanglement in bi-directional chiral waveguide QED
- Two-photon entanglement in multi-qubit bi-directional waveguide QED
- Subradiant Dimer Excitations of Emitter Chains Coupled to a 1D Waveguide
- Higher-order mean-field theory of chiral waveguide QED
- Optical techniques for Rydberg physics in lattice geometries
- Study of Electron-Vibrational Interaction in Molecular Aggregates Using Mean-Field Theory: From Exciton Absorption and Luminescence to Exciton-Polariton Dispersion in Nanofibers
- Cavity polaritons with Rydberg blockade and long-range interactions
- Broadband photon-photon interactions mediated by cold atoms in a photonic crystal fiber
- Dark Bogolon-Excitons in a Linear Atomic Super-Lattice