We investigate the conditions under which the trace distance between two different states of a given open system increases in time due to the interaction with an environment, therefore signaling non-Markovianity. We find that the finite-time difference in trace distance is bounded by two sharply defined quantities that are strictly linked to the occurrence of system-environment correlations created throughout their interaction and affecting the subsequent evolution of the system. This allows us to shed light on the origin of non-Markovian behaviors in quantum dynamics. We best illustrate our findings by tackling two physically relevant examples: a non-Markovian dephasing mechanism that has been the focus of a recent experimental endeavor and the open-system dynamics experienced by a spin connected to a finite-size quantum spin chain.
Interaction-induced correlations and non-Markovianity of quantum dynamics / A. Smirne, L. Mazzola, M. Paternostro, B. Vacchini. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - 87:5(2013 May 22), pp. 052129.1-052129.8. [10.1103/PhysRevA.87.052129]
Interaction-induced correlations and non-Markovianity of quantum dynamics
A. SmirnePrimo
;B. VacchiniUltimo
2013
Abstract
We investigate the conditions under which the trace distance between two different states of a given open system increases in time due to the interaction with an environment, therefore signaling non-Markovianity. We find that the finite-time difference in trace distance is bounded by two sharply defined quantities that are strictly linked to the occurrence of system-environment correlations created throughout their interaction and affecting the subsequent evolution of the system. This allows us to shed light on the origin of non-Markovian behaviors in quantum dynamics. We best illustrate our findings by tackling two physically relevant examples: a non-Markovian dephasing mechanism that has been the focus of a recent experimental endeavor and the open-system dynamics experienced by a spin connected to a finite-size quantum spin chain.File | Dimensione | Formato | |
---|---|---|---|
PhysRevA.87.052129.pdf
accesso aperto
Descrizione: Articolo
Tipologia:
Publisher's version/PDF
Dimensione
1.23 MB
Formato
Adobe PDF
|
1.23 MB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.