Scattering of two photons on a quantum emitter in a one-dimensional waveguide: exact dynamics and induced correlations

Anders Nysteen, Philip Trøst Kristensen, Dara McCutcheon, Per Kær Nielsen, Jesper Mørk

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Abstract

We develop a wavefunction approach to describe the scattering of two photons on a quantum emitter embedded in a one-dimensional waveguide. Our method allows us to calculate the exact dynamics of the complete system at all times, as well as the transmission properties of the emitter. We show that the nonlinearity of the emitter with respect to incoming photons depends strongly on the emitter excitation and the spectral shape of the incoming pulses, resulting in transmission of the photons which depends crucially on their separation and width. In addition, for counter-propagating pulses, we analyze the induced level of quantum correlations in the scattered state, and we show that the emitter behaves as a nonlinear beam-splitter when the spectral width of the photon pulses is similar to the emitter decay rate.
Original languageEnglish
Article number023030
JournalNew Journal of Physics
Volume17
Issue number2
ISSN1367-2630
DOIs
Publication statusPublished - 2015

Keywords

  • Few-photon scattering
  • Optical waveguide
  • Photon correlations
  • Two-level emitter
  • Decay (organic)
  • Optical waveguides
  • Quantum theory
  • Waveguides
  • Counterpropagating
  • One-dimensional waveguides
  • Photon correlation
  • Photon scattering
  • Quantum correlations
  • Quantum emitters
  • Transmission property
  • Photons
  • Quant-ph cond-mat.mes-hall

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