Quantum Response of Weakly Chaotic Systems
Abstract
Chaotic systems, that have a small Lyapunov exponent, do not obey the common random matrix theory predictions within a wide "weak quantum chaos" regime. This leads to a novel prediction for the rate of heating for cold atoms in optical billiards with vibrating walls. The Hamiltonian matrix of the driven system does not look like one from a Gaussian ensemble, but rather it is very sparse. This sparsity can be characterized by parameters 's' and 'g(sub s)' that reflect the percentage of large elements, and their connectivity, respectively. For 'g(sub s)' we use a resistor network calculation that has direct relation to the semilinear response characteristics of the system.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 2010
- Accession Number
- ADA536864
Entities
People
- A. Stotland
- David J. Cohen
- L. M. Pecora
Organizations
- United States Naval Research Laboratory