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

Halkyard, P. L. and Saunders, M. and Gardiner, S. A. and Challis, K. J. (2008) 'Power-law behavior in the quantum-resonant evolution of the delta-kicked accelerator.', Physical review A., 78 (6). 063401 .


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.

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Publisher statement:© 2008 by The American Physical Society. All rights reserved.
Record Created:30 Jun 2010 11:05
Last Modified:08 Dec 2010 09:57

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