Quantum resonant activation.
Quantum resonant activation.
复制标题
DOI：
10.1103/physreve.95.042104
复制
发表时间：
2017-01
期刊：
影响因子：
--
通讯作者：
L. Magazzù;P. Hänggi;B. Spagnolo;D. Valenti
中科院分区：
文献类型：
--
作者：
L. Magazzù;P. Hänggi;B. Spagnolo;D. Valenti
通过解析和大量的数值计算，研究了强耗散下外驱动两态（自旋玻色子）系统的量子共振激活.共振激活现象出现在随机波动或确定性周期性变化的驱动场的存在下。解决的非相干制度，一个特征最小值出现在平均首次通过时间达到吸收的相邻状态时，固有的时间尺度的调制匹配的系统动力学的特征时间尺度。对于确定性的周期性驾驶的情况下，第一次通过时间概率密度函数（pdf）显示一个复杂的，多峰的行为，这在很大程度上取决于初始相位的细节，频率和强度的驱动。作为一个有趣的特征，我们发现平均首次通过时间在临界频率ν^{*}处进入共振激活区，该临界频率对驱动强度的依赖非常弱。此外，我们提供的第一次通过时间pdf和停留时间的统计之间的关系。
Quantum resonant activation is investigated for the archetype setup of an externally driven two-state (spin-boson) system subjected to strong dissipation by means of both analytical and extensive numerical calculations. The phenomenon of resonant activation emerges in the presence of either randomly fluctuating or deterministic periodically varying driving fields. Addressing the incoherent regime, a characteristic minimum emerges in the mean first passage time to reach an absorbing neighboring state whenever the intrinsic time scale of the modulation matches the characteristic time scale of the system dynamics. For the case of deterministic periodic driving, the first passage time probability density function (pdf) displays a complex, multipeaked behavior, which depends crucially on the details of initial phase, frequency, and strength of the driving. As an interesting feature we find that the mean first passage time enters the resonant activation regime at a critical frequency ν^{*} which depends very weakly on the strength of the driving. Moreover, we provide the relation between the first passage time pdf and the statistics of residence times.