Rise and fall of quantum and classical correlations in open-system dynamics

Michael Khasin and Ronnie Kosloff
Phys. Rev. A 76, 012304 – Published 6 July 2007

Abstract

Interacting quantum systems evolving from an uncorrelated composite initial state generically develop quantum correlations—entanglement. As a consequence, a local description of interacting quantum systems is impossible as a rule. A unitarily evolving (isolated) quantum system generically develops extensive entanglement: the magnitude of the generated entanglement will increase without bounds with the effective Hilbert space dimension of the system. It is conceivable that coupling of the interacting subsystems to local dephasing environments will restrict the generation of entanglement to such extent that the evolving composite system may be considered as approximately disentangled. This conjecture is addressed in the context of some common models of a bipartite system with linear and nonlinear interactions and local coupling to dephasing environments. Analytical and numerical results obtained imply that the conjecture is generally false. Open dynamics of the quantum correlations is compared to the corresponding evolution of the classical correlations and a qualitative difference is found.

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  • Received 15 May 2006

DOI:https://doi.org/10.1103/PhysRevA.76.012304

©2007 American Physical Society

Authors & Affiliations

Michael Khasin and Ronnie Kosloff

  • Fritz Haber Research Center for Molecular Dynamics, Hebrew University of Jerusalem, Jerusalem 91904, Israel

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Issue

Vol. 76, Iss. 1 — July 2007

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