Budini Adrián A
Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Atómico Bariloche, Av. E. Bustillo Km. 9.5, 8400 Bariloche, Argentina.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Dec;82(6 Pt 1):061106. doi: 10.1103/PhysRevE.82.061106. Epub 2010 Dec 3.
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.
大偏差方法可用于研究开放量子系统的测量轨迹。对于光学装置，这种形式体系允许在由轨迹空间中的动力学相位及其之间的跃迁定义的（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特性[J. P. Garrahan和I. Lesanovsky，《物理评论快报》104, 160601 (2010)]。在本文中，我们研究了与复杂储能器耦合的荧光系统的热力学方法，这些储能器会在其动力学参数中引起随机涨落。在快速调制极限下，热力学对应于马尔可夫二能级系统的热力学。在缓慢调制极限下，热力学性质等同于有限系统的热力学性质，该有限系统在无限尺寸极限下具有一阶相变特征。动力学相位对应于不同的强度 regime，而系统的大小由浴涨落的跃迁速率来衡量。作为无量纲强度变量的函数，热力学势的一阶和二阶导数分别出现突变和窄峰。它们的标度性质与相关广延变量的双高斯概率分布一致。
