Thermodynamics of quantum jump trajectories in systems driven by classical fluctuations.
Thermodynamics of quantum jump trajectories in systems driven by classical fluctuations.
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经典涨落驱动系统中量子跃迁轨迹的热力学。
DOI：
10.1103/physreve.82.061106
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
A. A. Budini
中科院分区：
文献类型：
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作者：
A. A. Budini
大偏差方法可以用来研究开放量子系统的测量轨迹。对于光学排列，这种形式允许在(平衡)热力学方法的背景下描述(非平衡)光子计数统计的长时间性质[J.P.Garrahan和I.Lesanovsky，Phys.J.P.Garrahan和I.Lesanovsky，Phys.莱特牧师。104、160601(2010年)]。在这篇文章中，我们研究了耦合到复杂储存库的荧光系统的热力学方法，这些储存库的动力学参数会产生随机波动。在快调制极限下，热力学相当于马尔可夫二能级系统的热力学。在慢调制极限下，热力学性质等价于在无限大的极限下表现为一阶相变的有限系统的热力学性质。动力学相对应于不同的强度区域，而系统的大小由熔池涨落的跃迁速率来衡量。作为无量纲密集变量的函数，热力学势的一阶和二阶导数分别出现突变和窄峰。它们的标度性质符合相关扩展变量的双高斯概率分布。
The large-deviation method can be used to study the measurement trajectories of open quantum systems. For optical arrangements this formalism allows to describe the long time properties of the (nonequilibrium) photon counting statistics in the context of a (equilibrium) thermodynamic approach defined in terms of dynamical phases and transitions between them in the trajectory space [J. P. Garrahan and I. Lesanovsky, Phys. Rev. Lett. 104, 160601 (2010)]. In this paper, we study the thermodynamic approach for fluorescent systems coupled to complex reservoirs that induce stochastic fluctuations in their dynamical parameters. In a fast modulation limit the thermodynamics corresponds to that of a Markovian two-level system. In a slow modulation limit, the thermodynamic properties are equivalent to those of a finite system that in an infinite-size limit is characterized by a first-order transition. The dynamical phases correspond to different intensity regimes, while the size of the system is measured by the transition rate of the bath fluctuations. As a function of a dimensionless intensive variable, the first and second derivatives of the thermodynamic potential develop an abrupt change and a narrow peak, respectively. Their scaling properties are consistent with a double-Gaussian probability distribution of the associated extensive variable.