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.
Highlights
Single photons play an important role in many of the rapidly emerging quantum technologies [1, 2], including quantum communication [3], quantum metrology [4], and optical quantum information processing [5]
To do so we study two-photon scattering on a quantum emitter in a one-dimensional waveguide using a wavefunction approach, in which the entire system state is explicitly calculated at all times during the scattering process, and which provides a detailed picture of the scattering dynamics
This approach relies on a direct solution of the Schrödinger equation by expanding the complete state in a basis formed by the two-level emitter (TLE) and the optical waveguide modes
Summary
Scattering of two photons on a quantum emitter in a onedimensional waveguide: exact dynamics and induced correlations. The complete system at all times, as well as the transmission properties of the emitter. Any further distribution of this work must maintain nonlinearity of the emitter with respect to incoming photons depends strongly on the emitter excitaattribution to the author (s) and the title of the tion and the spectral shape of the incoming pulses, resulting in transmission of the photons which work, journal citation and depends crucially on their separation and width. Lyze 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
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