Sukhorukov Eugene V, Jordan Andrew N
Départment de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland.
Phys Rev Lett. 2007 Mar 30;98(13):136803. doi: 10.1103/PhysRevLett.98.136803. Epub 2007 Mar 29.
We generalize the stochastic path integral formalism by considering Hamiltonian dynamics in the presence of general Markovian noise. Kramers' solution of the activation rate for escape over a barrier is generalized for non-Gaussian driving noise in both the overdamped and underdamped limit. We apply our general results to a Josephson junction detector measuring the electron counting statistics of a mesoscopic conductor. The activation rate dependence on the third current cumulant includes an additional term originating from the backaction of the measurement circuit.
我们通过考虑存在一般马尔可夫噪声时的哈密顿动力学，推广了随机路径积分形式。在过阻尼和欠阻尼极限下，针对非高斯驱动噪声，推广了克拉默斯关于越过势垒逃逸的激活率的解。我们将我们的一般结果应用于测量介观导体电子计数统计的约瑟夫森结探测器。激活率对第三电流累积量的依赖性包括一个源自测量电路反作用的附加项。
