### Abstract

We consider a quantum emitter (“atom”) radiating in a one-dimensional photonic waveguide in the presence of a single mirror, resulting in a delay differential equation for the atomic amplitude. We carry out a systematic analysis of the non-Markovian (NM) character of the atomic dynamics in terms of refined, recently developed notions of quantum non-Markovianity such as indivisibility and information backflow. NM effects are quantified as a function of the round-trip time and phase shift associated with the atom-mirror optical path. We find, in particular, that unless an atom-photon bound state is formed a finite time delay is always required in order for NM effects to be exhibited. This identifies a finite threshold in the parameter space, which separates the Markovian and non-Markovian regimes.

Lingua originale | English |
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pagine (da-a) | 012113-1-012113-7 |

Numero di pagine | 7 |

Rivista | PHYSICAL REVIEW A |

Volume | 90 |

Stato di pubblicazione | Published - 2014 |

### All Science Journal Classification (ASJC) codes

- Atomic and Molecular Physics, and Optics

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## Cita questo

Ciccarello, F., Tufarelli, T., & Kim (2014). Non-Markovianity of a quantum emitter in front of a mirror.

*PHYSICAL REVIEW A*,*90*, 012113-1-012113-7.