Kryuchkyan Gagik Yu, Manvelyan Suren B
Yerevan State University, Manookyan 1, Yerevan, 375049, Armenia.
Phys Rev Lett. 2002 Mar 4;88(9):094101. doi: 10.1103/PhysRevLett.88.094101. Epub 2002 Feb 13.
A quantum manifestation of chaotic classical dynamics is found in the framework of oscillatory number statistics for the model of a nonlinear dissipative oscillator. It is shown that the probability distributions and variances of oscillatory number states are strongly transformed in the order-to-chaos transition. A nonclassical, sub-Poissonian statistics of oscillatory excitation numbers is established for chaotic dissipative dynamics in the framework of the Fano factor and Wigner functions. It is proposed to use these results in experimental studies of the quantum dissipative chaos.
在非线性耗散振子模型的振荡数统计框架内，发现了混沌经典动力学的量子表现。结果表明，在从有序到混沌的转变过程中，振荡数态的概率分布和方差发生了强烈变化。在法诺因子和维格纳函数框架下，为混沌耗散动力学建立了一种非经典的亚泊松振荡激发数统计。建议将这些结果用于量子耗散混沌的实验研究。
