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

By P. L. Halkyard, M. Saunders, S. A. Gardiner and K. J. Challis

Abstract

We 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 1. 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

Publisher: American Physical Society
Year: 2008
DOI identifier: 10.1103/PhysRevA.78.063401
OAI identifier: oai:dro.dur.ac.uk.OAI2:7056
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