Quantum non-Markovianity induced by Anderson localization

Gioacchino Massimo Palma, Francesco Ciccarello, Federico Lombardo, Salvatore Lorenzo, Francesco Ciccarello, Salvatore Lorenzo, G. Massimo Palma

Risultato della ricerca: Articlepeer review

15 Citazioni (Scopus)

Abstract

As discovered by P. W. Anderson, excitations do not propagate freely in a disordered lattice, but, due to destructive interference, they localise. As a consequence, when an atom interacts with a disordered lattice, one indeed observes a non-trivial excitation exchange between atom and lattice. Such non-trivial atomic dynamics will in general be characterised also by a non-trivial quantum information backflow, a clear signature of non-Markovian dynamics. To investigate the above scenario, we consider a quantum emitter, or atom, weakly coupled to a uniform coupled-cavity array (CCA). If initially excited, in the absence of disorder, the emitter undergoes a Markovian spontaneous emission by releasing all its excitation into the CCA (initially in its vacuum state). By introducing static disorder in the CCA the field normal modes become Anderson-localized, giving rise to a non-Markovian atomic dynamics. We show the existence of a functional relationship between a rigorous measure of quantum non-Markovianity and the CCA localization. We furthermore show that the average non-Markovianity of the atomic dynamics is well-described by a phenomenological model in which the atom is coupled, at the same time, to a single mode and to a standard - Markovian - dissipative bath.
Lingua originaleEnglish
pagine (da-a)42729-
Numero di pagine10
RivistaScientific Reports
Volume7
Stato di pubblicazionePublished - 2017

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