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.
Tufarelli, T., Kim, M.S., Ciccarello, F. (2014). Non-Markovianity of a quantum emitter in front of a mirror. PHYSICAL REVIEW A, 90, 012113-1-012113-7 [10.1103/PhysRevA.90.012113].
Non-Markovianity of a quantum emitter in front of a mirror
CICCARELLO, Francesco
2014-01-01
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.File | Dimensione | Formato | |
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