Pramana | |
The crossover from classical to quantum behavior in Dufï¬ng oscillator based on quantum state diffusion | |
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 Dufï¬ng oscillator is a dissipative chaotic system, and so there is not a deï¬nite Hamiltonian. We quantize the Dufï¬ng 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 deï¬ne 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
【 预 览 】
Files | Size | Format | View |
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RO201912040496116ZK.pdf | 65KB | download |