Correlation Function Bootstrapping in Quantum Chaotic Systems

Details Correlation Function Bootstrapping in Quantum Chaotic Systems Correlation Function Bootstrapping in Quantum Chaotic Systems

2005-03-25

arxiv.org/abs/nlin/0503058v1

Phys. Rev. E 71, 056212 (2005)

Nonlinear Sciences

Chaotic Dynamics

19 pages, including 10 figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.71.056212

We discuss a general and efficient approach for "bootstrapping" short-time correlation data in chaotic or complex quantum systems to obtain information about long-time dynamics and stationary properties, such as the local density of states. When the short-time data is sufficient to identify an individual quantum system, we obtain a systematic approximation for the spectrum and wave functions. Otherwise, we obtain statistical properties, including wave function intensity distributions, for an ensemble of all quantum systems sharing the given short-time correlations. The results are valid for open or closed systems, and are stable under perturbation of the short-time input data. Numerical examples include quantum maps and two-dimensional anharmonic oscillators.

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