Quantum chaotic attractor in a dissipative system

Details Quantum chaotic attractor in a dissipative system Quantum chaotic attractor in a dissipative system

1997-03-21

arxiv.org/abs/chao-dyn/9703012v1

Phys. Rev. Lett. 78 (1997) 3278

Nonlinear Sciences

Chaotic Dynamics

5 pages, revtex, all figures included, accepted by Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.78.3278

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.

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