title: Correlation function bootstrapping in quantum chaotic systems.
abstract: 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 are 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.
authors.affiliation: Department of Physics, Tulane University, New Orleans, Louisiana 70118, USA.
authors.forename: L
authors.initials: L
authors.lastname: Kaplan