Early time diffusion for the quantum kicked rotor with narrow initial momentum distributions

A. J. Daley and A. S. Parkins
Phys. Rev. E 66, 056210 – Published 26 November 2002
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Abstract

We investigate analytically and numerically early-time momentum diffusion rates for the δ-kicked rotor across the quantum to classical transition, i.e., as increased total system action produces more macroscopic dynamics. For sufficiently narrow initial momentum distributions we find a rich structure of resonances in these diffusion rates as a function of the effective Planck’s constant. Our study is set in the physical context of the atom optics kicked rotor, and numerical simulations confirm that the resonances persist with kicks of finite duration and with other typical experimental imperfections, such as spontaneous emission noise. Our results should be testable in experiments where narrow initial momentum distributions are prepared using, for example, velocity selective Raman transitions or Bose-Einstein condensates.

  • Received 27 June 2002

DOI:https://doi.org/10.1103/PhysRevE.66.056210

©2002 American Physical Society

Authors & Affiliations

A. J. Daley* and A. S. Parkins

  • Department of Physics, University of Auckland, Private Bag 92019, Auckland, New Zealand

  • *Present address: Institut für Theoretische Physik, Universität Innsbruck, A-6020 Innsbruck, Austria. Electronic address: adal025@phy.auckland.ac.nz

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Vol. 66, Iss. 5 — November 2002

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