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

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...

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Bibliographic Details
Published in:New journal of physics 2015-02, Vol.17 (2), p.23030-12
Main Authors: Nysteen, Anders, Kristensen, Philip Trøst, McCutcheon, Dara P S, Kaer, Per, Mørk, Jesper
Format: Article
Language:English
Subjects:
Decay rate
Dynamical systems
Emittance
Emitters
Excitation spectra
few-photon scattering
Nonlinear dynamics
Nonlinearity
optical waveguide
photon correlations
Photons
Physics
Pulse propagation
Scattering
Spectral emittance
two-level emitter
Wave functions
Waveguides
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Summary: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.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/17/2/023030