We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Durham Research Online
You are in:

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.

Item Type:Article
Full text:PDF - Published Version (451Kb)
Publisher Web site:
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

Social bookmarking: del.icio.usConnoteaBibSonomyCiteULikeFacebookTwitterExport: EndNote, Zotero | BibTex
Usage statisticsLook up in GoogleScholar | Find in a UK Library