We introduce a new platform for realizing on-chip quantum electrodynamicsusing photonic crystal waveguide structures comprised of periodic nanowirearrays with embedded semiconductor quantum dots to act as quantum lightsources. These nanowire-based structures, which can now be fabricated withexcellent precision, are found to produce waveguide Purcell factors exceeding100 and on-chip beta factors up to 99%. We investigate the fundamental opticalproperties of photonic crystal waveguides and finite-size structures using bothphotonic band structure calculations and rigorous Green function computationswhich allows us to obtain the modal properties and the local density of photonstates. A comparison with slab-based photonic crystals is also made and we ahighlight key advantages in the nanowire system, including the potential tominimize extrinsic scattering losses and produce high theoretical Purcellfactors and beta-factors on-chip. We also demonstrate that these structuresexhibit rich photonic Lamb shifts over broadband frequencies.
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