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Semiquantum chaos in the double well

Journal Article · · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
 [1];  [2]
  1. Physics Department, 510A, Brookhaven National Laboratory, Upton, New York 11973-5000 (United States)
  2. Institut fuer Theoretische Physik, Universitaet Regensburg, 93053 Regensburg (Germany)

The phenomenon of semiquantum chaos is analyzed in a classically regular double-well oscillator model. Here it arises from a doubling of the number of effectively classical degrees of freedom, which are nonlinearly coupled in a Gaussian variational approximation (TDHF) to full quantum mechanics. The resulting first-order nondissipative autonomous flow system shows energy dependent transitions between regular behavior and semiquantum chaos, which we monitor by Poincar{acute e} sections and a suitable frequency correlation function related to the density matrix. We discuss the general importance of this form of deterministic chaos and point out the necessity to study open (dissipative) quantum systems, in order to observe it experimentally. {copyright} {ital 1996 The American Physical Society.}

OSTI ID:
283810
Journal Information:
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 4 Vol. 53; ISSN 1063-651X; ISSN PLEEE8
Country of Publication:
United States
Language:
English

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