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Decoherence in chaotic and integrable systems: a random matrix approach

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Gorin,  T.
Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society;

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Seligman,  T. H.
Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society;

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Citation

Gorin, T., & Seligman, T. H. (2003). Decoherence in chaotic and integrable systems: a random matrix approach. Physics Letters A, 309(1-2), 61-67.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0011-8F23-3
Abstract
We study the influence of chaos and order on entanglement and decoherence. In view of applications in quantum computing and teleportation which should be able to work with arbitrarily complicated states, we pay particular attention to the behavior of random states. While studies with coherent states indicate that chaos accelerates decoherence and entanglement, we find that there is practically no difference between the chaotic and the integrable case, as far as random states are concerned. In the present studies we use unitary time evolution of the total system, and partial traces to emulate decoherence. Random matrix models are a natural choice to describe the dynamics of random states. The invariant aspects of chaos and order are then reflected in the different spectral statistics. We develop random matrix models for the evolution of entanglement for a large variety of situations, discussing the strong coupling case in full detail. (C) 2003 Elsevier Science B.V. All rights reserved.