Dynamical Properties of the Delta Kicked Harmonic Oscillator

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.

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

References in corpus (4)

• Quantum chaos in an ion trap: the delta-kicked harmonic oscillator
• Quantum Computing of Quantum Chaos in the Kicked Rotator Model
• Engineering Functional Quantum Algorithms
• Quantum Kicked Dynamics and Classical Diffusion

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• Boltzmann-Loschmidt dispute reloaded quantum 150 years later