On the dynamics of a linear and a nonlinear quantum oscillator with randomly changing harmonic frequency

✍ Scribed by Pranab Sarkar; S. P. Bhattacharyya

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 238 KB
• Volume: 62
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/(sici)1097-461x(1997)62:3<265::aid-qua4>3.0.co;2-u

✦ Synopsis

Ž 4 . Numerical experiments with a nonlinear x oscillator which has its harmonic frequency changing randomly with time reveal certain interesting features of its dynamics of quantum evolution. When s 0, the level populations are seen to oscillate. But, as the Ž . nonlinear coupling is switched on ) 0 , a threshold is reached at s when the c evolution is seen to be characterized by an abrupt transition dominantly to the highest Ž . available state of the unperturbed initial oscillator. It is shown that this transition probability is maximized at a particular value of . The time threshold for this transition decreases with increasing nonlinear coupling strength. The numerically obtained structures of the underlying quantum-phase spaces of the linear and nonlinear random oscillators are examined. Possible use of these results in a problem of chemical origin is explored.