Abstract
The rate and extent of the exploration of the available phase space of a bound quantum mechanical system are shown to depend on the repulsion of energy eigenstates. Central to the argument is the Fourier transform relating the survival probability (in time) of an initially prepared nonstationary state and the (frequency) autocorrelation function of the excitation spectrum. Strong repulsion of states, as in the Wigner surmise, leads to a rapid dephasing of the initially coherently prepared state. The rate and extent of sampling of phase space depend not only on the spacing distribution but also on the intensity fluctuations. The rate of dephasing is equal to that inferred from the width of the spectral autocorrelation function.
Full text
PDF
Selected References
These references are in PubMed. This may not be the complete list of references from this article.
- Bauer M., Mello P. A. On the lifetime-width relation for a decaying state and the uncertainty principle. Proc Natl Acad Sci U S A. 1976 Feb;73(2):283–285. doi: 10.1073/pnas.73.2.283. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Heller EJ. Quantum localization and the rate of exploration of phase space. Phys Rev A Gen Phys. 1987 Feb 1;35(3):1360–1370. doi: 10.1103/physreva.35.1360. [DOI] [PubMed] [Google Scholar]
- Leviandier L, Lombardi M, Jost R, Pique JP. Fourier transform: A tool to measure statistical level properties in very complex spectra. Phys Rev Lett. 1986 Jun 9;56(23):2449–2452. doi: 10.1103/PhysRevLett.56.2449. [DOI] [PubMed] [Google Scholar]
- Pique JP, Chen Y, Field RW, Kinsey JL. Chaos and dynamics on 0.5-300 ps time scales in vibrationally excited acetylene: Fourier transform of stimulated-emission pumping spectrum. Phys Rev Lett. 1987 Feb 2;58(5):475–478. doi: 10.1103/PhysRevLett.58.475. [DOI] [PubMed] [Google Scholar]