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Phys. Rev. E 70, 015203(R) (2004) [4 pages]

Dynamical properties of the delta-kicked harmonic oscillator

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G. A. Kells*, J. Twamley, and D. M. Heffernan
Department of Mathematical Physics, National University of Ireland, Maynooth, Ireland

Received 31 July 2003; published 27 July 2004

We propose an efficient procedure for numerically evolving the quantum dynamics of delta-kicked harmonic oscillator. The method allows for longer and more accurate simulations of the system as well as a simple procedure for calculating the system’s Floquet eigenstates and quasienergies. The method is used to examine the dynamical behavior of the system in cases where the ratio of the kicking frequency to the system’s natural frequency is both rational and irrational.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.70.015203
DOI:
10.1103/PhysRevE.70.015203
PACS:
05.45.Pq, 03.65.−w, 05.45.Mt

*Electronic address: gkells@thphys.may.ie