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Title: Initial correlations in open-systems dynamics: The Jaynes-Cummings model

Journal Article · · Physical Review. A
;  [1];  [2];  [3]
  1. Dipartimento di Fisica, Universita degli Studi di Milano, Via Celoria 16, I-20133 Milano (Italy)
  2. Physikalisches Institut, Universitaet Freiburg, Hermann-Herder Strasse 3, D-79104 Freiburg (Germany)
  3. Turku Centre for Quantum Physics, Department of Physics and Astronomy, University of Turku, FI-20014 Turun yliopisto (Finland)

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.

OSTI ID:
21528822
Journal Information:
Physical Review. A, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevA.82.062114; (c) 2010 American Institute of Physics; ISSN 1050-2947
Country of Publication:
United States
Language:
English