System-environment correlations and Markovian embedding of quantum non-Markovian dynamics

Francesco Ciccarello, Gioacchino Massimo Palma, Francesco Ciccarello, Steve Campbell, Bassano Vacchini, G. Massimo Palma

Risultato della ricerca: Articlepeer review

28 Citazioni (Scopus)

Abstract

We study the dynamics of a quantum system whose interaction with an environment is described by a collision model, i.e., the open dynamics is modeled through sequences of unitary interactions between the system and the individual constituents of the environment, termed "ancillas," which are subsequently traced out. In this setting, non-Markovianity is introduced by allowing for additional unitary interactions between the ancillas. For this model, we identify the relevant system-environment correlations that lead to a non-Markovian evolution. Through an equivalent picture of the open dynamics, we introduce the notion of "memory depth" where these correlations are established between the system and a suitably sized memory rendering the overall system-memory evolution Markovian. We extend our analysis to show that while most system-environment correlations are irrelevant for the dynamical characterization of the process, they generally play an important role in the thermodynamic description. Finally, we show that under an energy-preserving system-environment interaction, a nonmonotonic time behavior of the heat flux serves as an indicator of non-Markovian behavior.
Lingua originaleEnglish
Numero di pagine11
RivistaPhysical Review A
Volume98
Stato di pubblicazionePublished - 2018

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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