Power-law behavior in the quantum-resonant evolution of the delta-kicked accelerator

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dc.creatorHalkyard, P. L.
dc.creatorSaunders, M.
dc.creatorGardiner, S. A.
dc.creatorChallis, K. J.
dc.date2008-07-16
dc.date2008-09-25
dc.date.accessioned2026-07-07T12:24:48Z
dc.date.available2026-07-07T12:24:48Z
dc.descriptionWe consider the atom-optical delta-kicked accelerator when the initial momentum distribution is symmetric. We demonstrate the existence of quantum-resonant dynamics, and derive analytic expressions for the system evolution. In particular, we consider the dynamical evolution of the momentum moments and find that all even-ordered momentum moments exhibit a power law growth. In the ultracold (zero-temperature) limit the exponent is determined by the order of the moment, whereas for a broad, thermal initial momentum distribution the exponent is reduced by one. To demonstrate the power law behavior explicitly we consider the evolutions of the second- and fourth-order momentum moments, and cumulants, for an initially Gaussian momentum distribution corresponding to the Maxwell-Boltzmann distribution of an ideal gas at thermal equilibrium.
dc.description15 pages, 4 figures (changed content)
dc.identifierhttps://arxiv.org/abs/0807.2587
dc.identifierhttp://arxiv.org/abs/0807.2587
dc.identifierPhys. Rev. A 78, 063401 (2008)
dc.identifierdoi:10.1103/PhysRevA.78.063401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214435
dc.subjectAtomic Physics
dc.subjectChaotic Dynamics
dc.titlePower-law behavior in the quantum-resonant evolution of the delta-kicked accelerator
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