Employing the trace distance as a measure for the distinguishability of quantum states, we study the influence of initial correlations on the dynamics of open systems.We concentrate on the Jaynes-Cummings model for which the knowledge of the exact joint dynamics of system and reservoir allows the treatment of initial states with arbitrary correlations. As a measure for the correlations in the initial state we consider the trace distance between the system-environment state and the product of its marginal states. In particular, we examine the correlations contained in the thermal equilibrium state for the total system, analyze their dependence on the temperature and on the coupling strength, and demonstrate their connection to the entanglement properties of the eigenstates of the Hamiltonian. A detailed study of the time dependence of the distinguishability of the open system states evolving from the thermal equilibrium state and its corresponding uncorrelated product state shows that the open system dynamically uncovers typical features of the initial correlations.

Initial correlations in open-systems dynamics: the Jaynes-Cummings model / A. Smirne, H.P. Breuer, J. Piilo, B. Vacchini. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - 82:6(2010), pp. 062114.062114-1-062114.062114-10. [10.1103/PhysRevA.82.062114]

Initial correlations in open-systems dynamics: the Jaynes-Cummings model

A. Smirne
Primo
;
B. Vacchini
Ultimo
2010

Abstract

Employing the trace distance as a measure for the distinguishability of quantum states, we study the influence of initial correlations on the dynamics of open systems.We concentrate on the Jaynes-Cummings model for which the knowledge of the exact joint dynamics of system and reservoir allows the treatment of initial states with arbitrary correlations. As a measure for the correlations in the initial state we consider the trace distance between the system-environment state and the product of its marginal states. In particular, we examine the correlations contained in the thermal equilibrium state for the total system, analyze their dependence on the temperature and on the coupling strength, and demonstrate their connection to the entanglement properties of the eigenstates of the Hamiltonian. A detailed study of the time dependence of the distinguishability of the open system states evolving from the thermal equilibrium state and its corresponding uncorrelated product state shows that the open system dynamically uncovers typical features of the initial correlations.
Reduced dynamics; generators; need
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
Article (author)
File in questo prodotto:
File Dimensione Formato  
PhysRevA.82.062114.pdf

accesso aperto

Tipologia: Publisher's version/PDF
Dimensione 1.6 MB
Formato Adobe PDF
1.6 MB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/152487
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 104
  • ???jsp.display-item.citation.isi??? 101
social impact