2016/03/31 by Eduardo Sánchez-Burillo, E. Sánchez-Burillo, D. Zueco +5
Engineering · Physics and Astronomy · #Advanced Fiber Laser Technologies #Atomic physics #Bound state #Condensed matter physics #Excited state #Exponential decay #Impurity #Photon #Photonic and Optical Devices #Photonics #Physics #Quantum mechanics #Quantum optics and atomic interactions #Scattering #Wave packet #Waveguide #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1103/physreva.96.023831
published as Phys. Rev. A 96, 023831 (2017)
openalex publication_date 2017/08/14 · arxiv created 2017/08/21 · arxiv updated 2017/08/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the spontaneous decay of an impurity coupled to a linear array of bosonic cavities forming a single-band photonic waveguide. The average frequency of the emitted photon is different from the frequency for single-photon resonant scattering, which perfectly matches the bare frequency of the excited state of the impurity. We study how the energy of the excited state of the impurity influences the spatial profile of the emitted photon. The farther the energy is from the middle of the photonic band, the farther the wave packet is from the causal limit. In particular, if the energy lies in the middle of the band, the wave packet is localized around the causal limit. Besides, the occupation of the excited state of the impurity presents a rich dynamics: it shows an exponential decay up to intermediate times, this is followed by a power-law tail in the long-time regime, and it finally reaches an oscillatory stationary regime. Finally, we show that this phenomenology is robust under the presence of losses, both in the impurity and in the cavities.