Chaos in Dissipative Quantum Systems
We discuss two dissipative quantum systems, which are chaotic in the classical limit. The first system is a single-mode bad-cavity laser. It can be analyzed in the semi-classical limit where it reduces to the complex Lorenz model under the influence of classical external noise. The second system is an exactly solvable dissipative quantum map, which reduces to the Kaplan Yorke map in the classical limit. In both quantum systems the strange attractor of the classical system disappears, but the sensitive dependence on initial conditions remains.
Unable to display preview. Download preview PDF.
- 1.R.S. Gioggia, N.B. Abraham, Routes to Chaotic Output from a Single-Mode, dc-Excited Laser, preprint 1983Google Scholar
- 2.H. Haken, Laser Theory, Encyclopedia of Physics XXV/2c, ed. S. Fliigge, Springer, New York 1970Google Scholar
- 3.H. Risken, C. Schmid, W. Weidlich, Z. Physik 194, 337 (1966)Google Scholar
- 7.R. Graham, Phys. Rev. A, to appearGoogle Scholar
- 8.R. Graham, Quantum Noise and Strange Attractors, preprint 1983Google Scholar