Quantum response of weakly chaotic systems

A. Stotland, L. M. Pecora, D. Cohen

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


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 s that reflect the percentage of large elements, and their connectivity, respectively. For gs we use a resistor network calculation that has direct relation to the semilinear response characteristics of the system.

Original languageEnglish
Article number20009
Issue number2
StatePublished - 1 Oct 2010

ASJC Scopus subject areas

  • General Physics and Astronomy


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