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arXiv · cond-mat/9712209

Efficient Diagonalization of Kicked Quantum Systems

R. Ketzmerick·K. Kruse·T. Geisel
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Abstract

We show that the time evolution operator of kicked quantum systems, although a full matrix of size NxN, can be diagonalized with the help of a new method based on a suitable combination of fast Fourier transform and Lanczos algorithm in just N^2 ln(N) operations. It allows the diagonalization of matrizes of sizes up to N\approx 10^6 going far beyond the possibilities of standard diagonalization techniques which need O(N^3) operations. We have applied this method to the kicked Harper model revealing its intricate spectral properties.

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R. Ketzmerick, K. Kruse, T. Geisel. 1998-05-29. Efficient Diagonalization of Kicked Quantum Systems. https://doi.org/10.1016/s0167-2789(98)00230-9

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