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

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 non-linearity 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 non-linear beam-splitter when the spectral width of the photon pulses is similar to the emitter decay rate.

15 pages, 7 figures

References in corpus (11)

• Photonic quantum technologies
• Strongly Correlated Two-Photon Transport in One-Dimensional Waveguide Coupled to A Two-Level System
• Theory of single-photon transport in a single-mode waveguide coupled to a cavity containing a two-level atom
• Experimental realization of highly-efficient broadband coupling of single quantum dots to a photonic crystal waveguide
• General criterion for the entanglement of two indistinguishable particles
• Input-Output Formalism For Few-Photon Transport in One-Dimensional Nanophotonic Waveguides Coupled to a Qubit
• Strongly-correlated multi-particle transport in one-dimension through a quantum impurity: an outline of exact and complete solutions
• Giant Optical Non-linearity induced by a Single Two-Level System interacting with a Cavity in the Purcell Regime
• Scattering of two photons from two distant qubits: Exact solution
• Stimulated Emission from a single excited atom in a waveguide
• Decoherence in semiconductor cavity QED systems due to phonon scattering

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