Collective interactions in an array of atoms coupled to a nanophotonic waveguide

Hashem Zoubi
Phys. Rev. A 89, 043831 – Published 18 April 2014

Abstract

A lattice of trapped atoms strongly coupled to a one-dimensional nanophotonic waveguide is investigated in exploiting polaritons as natural collective eigenstates. We derive polariton-polariton kinematic interactions by applying a bosonization procedure to transform excitation spin-12 operators into interacting bosons. In solving the scattering problem we extract the effective potential, which is shown to be modulated by using the excitation-photon detuning as a control parameter. We examine the regime in which polaritons behave as a dilute degenerate boson gas and in the limit where polaritons can be treated as weakly interacting photons we 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.

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  • Received 4 November 2013
  • Revised 13 February 2014

DOI:https://doi.org/10.1103/PhysRevA.89.043831

©2014 American Physical Society

Authors & Affiliations

Hashem Zoubi*

  • Max-Planck Institute for the Physics of Complex Systems, Noethnitzer Straße 38, 01187 Dresden, Germany

  • *zoubi@pks.mpg.de

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Vol. 89, Iss. 4 — April 2014

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