Quantum chaotic attractor in a dissipative system
chao-dyn
2009-10-30 v1 Chaotic Dynamics
Quantum Physics
Abstract
A dissipative quantum system is treated here by coupling it with a heat bath of harmonic oscillators. Through quantum Langevin equations and Ehrenfest's theorem, we establish explicitly the quantum Duffing equations with a double-well potential chosen. A quantum noise term appears the only driving force in dynamics. Numerical studies show that the chaotic attractor exists in this system while chaos is certainly forbidden in the classical counterpart.
Cite
@article{arxiv.chao-dyn/9703012,
title = {Quantum chaotic attractor in a dissipative system},
author = {W. Vincent Liu and William C. Schieve},
journal= {arXiv preprint arXiv:chao-dyn/9703012},
year = {2009}
}
Comments
5 pages, revtex, all figures included, accepted by Phys. Rev. Lett