Dynamical signatures of bound states in waveguide QED

E. Sánchez-Burillo, D. Zueco, L. Martín-Moreno, J. J. García-Ripoll

Published 2016-03-30Version 1

In this work we study the spontaneous decay of an impurity coupled to a linear array of bosonic cavities forming a single band waveguide. The frequency of the emitted photon is different from the resonance single-photon scattering frequency, which perfectly matches the bare frequency of the impurity. This breaks down the correspondence between spontaneous emission and scattering. We study how the position of the impurity energy with respect to the photonic band influences the profile in position space of the emitted photon. In addition, the impurity presents a rich dynamics: it shows an exponential decay for intermediate times, followed by a power-law tail in the long time regime and finally reaches an oscillatory stationary regime.