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Phys. Rev. A 76, 010102(R) (2007) [4 pages]

Quantum interference in the classically forbidden region: A parametric oscillator

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M. Marthaler1,2 and M. I. Dykman1
1Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
2Institut für Theoretische Festkörperphysik and DFG-Center for Functional Nanostructures (CFN), Universität Karlsruhe, D-76128 Karlsruhe, Germany

Received 20 March 2007; published 20 July 2007

We study tunneling between period-2 states of a parametrically modulated oscillator. The tunneling matrix element is shown to oscillate with the varying frequency of the modulating field. The effect is due to spatial oscillations of the wave function and the related interference in the classically forbidden region. The oscillations emerge already in the ground state of the oscillator Hamiltonian in the rotating frame.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.76.010102
DOI:
10.1103/PhysRevA.76.010102
PACS:
03.65.Xp, 74.50.+r, 05.45.−a, 05.60.Gg