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Coupling quantum emitters and nanostructures, in particular cold atoms andwaveguides, has recently raised a large interest due to unprecedentedpossibilities of engineering light-matter interactions. However, theimplementation of these promising concepts has been hampered by varioustheoretical and experimental issues. In this work, we propose a new type ofperiodic dielectric waveguide that provides strong interactions between atomsand guided photons with an unusual dispersion. We design an asymmetric combwaveguide that supports a slow mode with a quartic (instead of quadratic)dispersion and an electric field that extends far into the air cladding for anoptimal interaction with atoms. We compute the optical trapping potentialformed with two guided modes at frequencies detuned from the atomic transition.We show that cold Rubidium atoms can be trapped as close as 100 nm from thestructure in a 1.3-mK-deep potential well. For atoms trapped at this position,the emission into guided photons is largely favored, with a beta factor as highas 0.88 and a radiative decay rate into the slow mode 10 times larger than thefree-space decay rate.

Asymmetric comb waveguide for strong interactions between atoms and light