Quantum Mechanical Cumulant Dynamics near Stable Periodic Orbits in Phase Space: Application to the classical-like dynamics of quantum accelerator modes

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dc.creatorBach, R.
dc.creatorBurnett, K.
dc.creatord'Arcy, M. B.
dc.creatorGardiner, S. A.
dc.date2003-10-29
dc.date2004-12-14
dc.date.accessioned2026-07-07T05:50:21Z
dc.date.available2026-07-07T05:50:21Z
dc.descriptionWe formulate a general method for the study of semiclassical-like dynamics in stable regions of a mixed phase-space, in order to theoretically study the dynamics of quantum accelerator modes. In the simplest case, this involves determining solutions, which are stable when constrained to remain pure-state Gaussian wavepackets, and then propagating them using a cumulant-based formalism. Using this methodology, we study the relative longevity, under different parameter regimes, of quantum accelerator modes. Within this attractively simple formalism, we are able to obtain good qualitative agreement with exact wavefunction dynamics.
dc.description20 pages, 4 figures. Very substantially revised and expanded version
dc.identifierhttps://arxiv.org/abs/physics/0310143
dc.identifierhttp://arxiv.org/abs/physics/0310143
dc.identifierPhys. Rev. A 71, 033417 (2005)
dc.identifierdoi:10.1103/PhysRevA.71.033417
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/85684
dc.subjectAtomic Physics
dc.subjectChaotic Dynamics
dc.subjectGeneral Physics
dc.titleQuantum Mechanical Cumulant Dynamics near Stable Periodic Orbits in Phase Space: Application to the classical-like dynamics of quantum accelerator modes
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