Quantum Dissipative Chaos
Abstract
Using the decoherence formalism of Gell-Mann and Hartle, a quantum system is found which is the equivalent of the classical chaotic Duffing oscillator. The similarities and the differences from the classical oscillator are examined; in particular, a new concept of quantum maps is introduced, and alterations in the classical strange attractor due to the presence of scale- dependent quantum effects are studied. Classical quantities such as the Lyapunov exponents and fractal dimension are examined, and quantum analogs are suggested. These results are generalized into a framework for quantum dissipative chaos, and there is a brief discussion of other work in this area.
Cite
@article{arxiv.chao-dyn/9307018,
title = {Quantum Dissipative Chaos},
author = {Todd A. Brun},
journal= {arXiv preprint arXiv:chao-dyn/9307018},
year = {2008}
}
Comments
36 pages (RevTex 2.0 macros) + 13 figures (postscript, compressed and uuencoded)