### Abstract

We investigate the open dynamics of a qubit due to scattering of a single photon in an infinite or semi-infinite waveguide. Through an exact solution of the time-dependent multi-photon scattering problem, we find the qubit's dynamical map. Tools of open quantum systems theory allow us then to show the general features of this map, find the corresponding non-Linbladian master equation, and assess in a rigorous way its non-Markovian nature. The qubit dynamics has distinctive features that, in particular, do not occur in emission processes. Two fundamental sources of non-Markovianity are present: the finite width of the photon wavepacket and the time delay for propagation between the qubit and the end of the semi-infinite waveguide.

Lingua originale | English |
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pagine (da-a) | 043035- |

Numero di pagine | 17 |

Rivista | New Journal of Physics |

Volume | 20 |

Stato di pubblicazione | Published - 2018 |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

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## Cita questo

Ciccarello, F., Ciccarello, F., Fang, Y-L. L., & Baranger, H. U. (2018). Non-Markovian dynamics of a qubit due to single-photon scattering in a waveguide.

*New Journal of Physics*,*20*, 043035-.