The crossover from classical to quantum behavior in Duffing oscillator based on quantum state diffusion

Pramana

Y Ota¹  I Ohba1 2¹ 

[1] Department of Physics, Waseda University, Tokyo 169-8555, Japan$$

关键词: Chaos;    quantum state diffusion;    crossover;    Lyapunov exponent.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The classical Duffing oscillator is a dissipative chaotic system, and so there is not a definite Hamiltonian. We quantize the Duffing oscillator on the basis of quantum state diffusion (QSD) which is a formulation for open quantum systems and a useful tool for analyzing nonlinear problems and classical limits. We can define a ‘Lyapunov exponent’, which corresponds to the classical one in the proper limit, and investigate the behavior of the system by varying the Planck constant effectively. We show that there exists a critical stage, where the behavior of the system crosses over from classical to quantum one.

【 授权许可】

Unknown