Quantum chaotic attractor in a dissipative system

Preprint

21 March 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9703012

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.

Keywords

DISSIPATIVE QUANTUM SYSTEM
ESTABLISH EXPLICITLY
FORCE IN DYNAMICS
CHAOTIC ATTRACTOR
QUANTUM CHAOTIC
QUANTUM SYSTEM
CHAOS

All Related Versions

Version 1, 1997-03-21, ArXiv
Published version: Physical Review Letters, 78 (17), 3278.

This publication has 0 references indexed in Scilit: