2003/07/31 by Graham Kells, G. A. Kells, Jason Twamley +3
Computer Science · Physics and Astronomy · #Neural Networks and Reservoir Computing #Quantum Information and Cryptography #Quantum chaos and dynamical systems #quant-ph
paper · pdf · doi:10.1103/physreve.70.015203
published as Phys. Rev. E, 70, 015203(R) (2004) · 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
arxiv created 2003/11/05 · openalex publication_date 2004/07/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.