Physics – Quantum Physics
Scientific paper
2003-08-28
Phys. Rev. E 71, 015201 (2005)
Physics
Quantum Physics
18 pages, 20 figures
Scientific paper
10.1103/PhysRevE.71.015201
We discuss the quantum--classical correspondence in a specific dissipative chaotic system, Duffing oscillator. We quantize it on the basis of quantum state diffusion (QSD) which is a certain formulation for open quantum systems and an effective tool for analyzing complex problems numerically. We consider a sensitivity to initial conditions, `` pseudo-Lyapunov exponent '', and investigate it in detail, varying Planck constant effectively. We show that in a dissipative system there exists a certain critical stage in which the crossover from classical to quantum behavior occurs. Furthermore, we show that an effect of dissipation suppresses the occurrence of chaos in the quantum region, while it, combined with the periodic external force, plays a crucial role in the chaotic behaviors of classical system.
Ohba Ichiro
Ota Yukihiro
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