Modeling matter-wave emission into a structured vacuum

The implementation of matter-wave based open quantum systems [1] provides access to novel emission behaviors beyond the usual Markovian treatment. In this talk we theoretically analyze the effects of introducing an emission vacuum with a band structure mirroring that of a photonic crystal. We calculate the exotic decay dynamics arising from the analytic structure of the system’s self energy. We find the existence of two poles outside the band corresponding to bound states above and below the band, and investigate their dynamical signatures in the time evolution of the emitted matter-wave population. \newline \newline [1] L. Krinner, M. Stewart, A. Pazmiño, J. Kwon, D. Schneble, Nature \textbf{559}, 589 (2018)