Critical fluctuations and the rates of interstate switching near the excitation threshold of a quantum parametric oscillator
Critical fluctuations and the rates of interstate switching near the excitation threshold of a quantum parametric oscillator
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DOI：
10.1103/physreve.92.022105
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发表时间：
2015-08-05
影响因子：
2.4
通讯作者：
Dykman, M. I.
中科院分区：
文献类型：
--
作者：
Lin, Z. R.;Nakamura, Y.;Dykman, M. I.
研究了非线性振子在临界点附近的动力学特性，在临界点附近二阶振动随着参数驱动幅值的增加而被激发。在阈值以上，量子涨落诱导准能势垒上两周期态之间的跃迁。我们找到了这种跃迁的有效量子激活能，以及它们与驱动幅值与其临界值之差的标度。在阈值附近的临界区域，我们还发现了波动相关时间与量子噪声参数的标度关系。结果推广到具有非线性摩擦的振子。
We study the dynamics of a nonlinear oscillator near the critical point where period-two vibrations are first excited with the increasing amplitude of parametric driving. Above the threshold, quantum fluctuations induce transitions between the period-two states over the quasienergy barrier. We find the effective quantum activation energies for such transitions and their scaling with the difference of the driving amplitude from its critical value. We also find the scaling of the fluctuation correlation time with the quantum noise parameters in the critical region near the threshold. The results are extended to oscillators with nonlinear friction.