Phys. Rev. A 63, 024101 (2001) [3 pages]Lyapunov exponents for the differences between quantum and classical dynamicsReceived 4 May 2000; published 3 January 2001 The moments and correlations of the (classical or quantum) position and momentum variables satisfy a hierarchy of coupled equations, which have been studied and solved numerically for the Hénon-Heiles model. It is found, for chaotic states of the model, that the second moments of the classical and quantum variables grow exponentially at a rate governed by the classical Lyapunov exponent. The differences between quantum and classical variables also grow exponentially, but with a larger exponent. The behavior of this quantum-classical difference exponent is studied in this paper. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.63.024101
DOI:
10.1103/PhysRevA.63.024101
PACS:
03.65.Sq, 05.45.Mt, 05.45.-a
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