Experimental reconstruction of the few-photon nonlinear scattering matrix from a single quantum dot in a nanophotonic waveguide
Hanna Le Jeannic, Tom\'as Ramos, Signe F. Simonsen, Tommaso, Pregnolato, Zhe Liu, R\"udiger Schott, Andreas D. Wieck, Arne Ludwig, Nir, Rotenberg, Juan Jos\'e Garc\'ia-Ripoll, Peter Lodahl

TL;DR
This paper experimentally reconstructs the scattering matrix of few-photon interactions with a quantum dot in a nanophotonic waveguide, revealing complex nonlinear photon physics crucial for quantum information processing.
Contribution
It demonstrates a method to directly measure the nonlinear scattering matrix of a quantum dot coupled to a waveguide using few-photon transport experiments.
Findings
Reconstructed 1- and 2-photon scattering matrix elements
Provided insights into many-body nonlinear photon interactions
Validated the approach with experimental data
Abstract
Coherent photon-emitter interfaces offer a way to mediate efficient nonlinear photon-photon interactions, much needed for quantum information processing. Here we experimentally study the case of a two-level emitter, a quantum dot, coupled to a single optical mode in a nanophotonic waveguide. We carry out few-photon transport experiments and record the statistics of the light to reconstruct the scattering matrix elements of 1- and 2-photon components. This provides direct insight to the complex nonlinear photon interaction that contains rich many-body physics.
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