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Thermodynamics of quantum jump trajectories in systems driven by classical fluctuations

Authors :
Budini, Adrian A.
Source :
Phys. Rev. E 82, 061106 (2010)
Publication Year :
2010

Abstract

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 (non-equilibrium) 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 derivative 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.<br />Comment: 12 pages, 3 figures

Subjects

Subjects :
Quantum Physics

Details

Database :
arXiv
Journal :
Phys. Rev. E 82, 061106 (2010)
Publication Type :
Report
Accession number :
edsarx.1012.0776
Document Type :
Working Paper
Full Text :
https://doi.org/10.1103/PhysRevE.82.061106