Crossover from classical to quantum behavior of Duffing oscillator through "pseudo-Lyapunov exponent"

Details Crossover from classical to quantum behavior of Duffing oscillator through "pseudo-Lyapunov exponent" Crossover from classical to quantum behavior of Duffing oscillator through "pseudo-Lyapunov exponent"

2003-08-28

arxiv.org/abs/quant-ph/0308154v1

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.

Affiliated with

Also associated with

No associations

Rating

Crossover from classical to quantum behavior of Duffing oscillator through "pseudo-Lyapunov exponent" does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Crossover from classical to quantum behavior of Duffing oscillator through "pseudo-Lyapunov exponent", we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Crossover from classical to quantum behavior of Duffing oscillator through "pseudo-Lyapunov exponent" will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-341100