Dynamical Properties of the Delta Kicked Harmonic Oscillator
Quantum Physics
2009-11-10 v2
Abstract
We propose an efficient procedure for numerically evolving the 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 systems Floquet eigenstates and quasi-energies. The method is used to examine the dynamical behaviour of the system in cases where the ratio of the kicking frequency to the systems natural frequency is both rational and irrational.
Cite
@article{arxiv.quant-ph/0307213,
title = {Dynamical Properties of the Delta Kicked Harmonic Oscillator},
author = {G. A. Kells and J. Twamley and D. M. Heffernan},
journal= {arXiv preprint arXiv:quant-ph/0307213},
year = {2009}
}
Comments
RevTex, 11 eps figures 1,2,3,4(a)(b)(c)(d),5(a)(b)(c)(d). Added references. Altered introduction to include relevence to experimental models and quantum information processors