Inhibition of mixing in chaotic quantum dynamics
We study the quantum chaotic dynamics of an initially well-localized wave packet in a cosine potential perturbed by an external time-dependent force. For our choice of initial condition and with [h bar] small but finite, we find that the wvae packet behaves classically (meaning that the quantum beha...
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| Veröffentlicht in: | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Statistical physics, plasmas, fluids, and related interdisciplinary topics, 1995-03, Vol.51 (3), p.1849-1857 |
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| container_title | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics |
| container_volume | 51 |
| creator | Helmkamp, BS Browne, DA |
| description | We study the quantum chaotic dynamics of an initially well-localized wave packet in a cosine potential perturbed by an external time-dependent force. For our choice of initial condition and with [h bar] small but finite, we find that the wvae packet behaves classically (meaning that the quantum behavior is indistinguishable from that of the analogous classical system) as long as the motion is confined to the interior of the remnant separatrix of the cosine potential. Once the classical motion becomes unbounded, however, we find that quantum interference effects dominate. This interference leads to a long-lived accumulation of quantum ampliutde on top of the cosine barrier. This pinning of the amplitude on the barrier is a dynamic mechanism for the quantum inhibition of classical mixing. |
| doi_str_mv | 10.1103/PhysRevE.51.1849 |
| format | Article |
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| ispartof | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 1995-03, Vol.51 (3), p.1849-1857 |
| issn | 1063-651X 1095-3787 |
| language | eng |
| recordid | cdi_osti_scitechconnect_6590027 |
| source | American Physical Society Journals |
| subjects | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS INTERFERENCE MATHEMATICAL SPACE MECHANICS MIXING PHASE SPACE QUANTUM MECHANICS SEMICLASSICAL APPROXIMATION SPACE 661100 -- Classical & Quantum Mechanics-- (1992-) WAVE PACKETS |
| title | Inhibition of mixing in chaotic quantum dynamics |
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