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Phys. Rev. Lett. 77, 59–62 (1996)

Exponential Divergence and Long Time Relaxation in Chaotic Quantum Dynamics

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Arjendu K. Pattanayak and Paul Brumer
Chemical Physics Theory Group, University of Toronto, Toronto, Canada M5S 3H6

Received 5 January 1996; published in the issue dated 1 July 1996

Phase-space representations of the dynamics of the quantal and classical cat map are used to explore quantum-classical correspondence in a K system: As ħ→0, the classical chaotic behavior is shown to emerge smoothly and exactly. The quantum dynamics near the classical limit displays both exponential separation of adjacent distributions and long time relaxation, two characteristic features of classical chaotic motion.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.59
DOI:
10.1103/PhysRevLett.77.59
PACS:
05.45.+b, 03.65.Sq, 05.40.+j