Calculating work in weakly driven quantum master equations: Backward and forward equations.
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A technical report indicating that the two methods used for calculating characteristic functions for the work distribution in weakly driven quantum master equations are equivalent.Abstract:
I present a technical report indicating that the two methods used for calculating characteristic functions for the work distribution in weakly driven quantum master equations are equivalent. One involves applying the notion of quantum jump trajectory [Phys. Rev. E 89, 042122 (2014)PLEEE81539-375510.1103/PhysRevE.89.042122], while the other is based on two energy measurements on the combined system and reservoir [Silaev et al., Phys. Rev. E 90, 022103 (2014)PLEEE81539-375510.1103/PhysRevE.90.022103]. These represent backward and forward methods, respectively, which adopt a very similar approach to that of the Kolmogorov backward and forward equations used in classical stochastic theory. The microscopic basis for the former method is also clarified. In addition, a previously unnoticed equality related to the heat is also revealed.read more
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References
More filters
Journal ArticleDOI
Quantum extension of the Jarzynski relation: analogy with stochastic dephasing.
TL;DR: A close formal analogy is established between the present "classical trajectory" picture over populations of adiabatic states and phase fluctuations of a quantum coherence in spectral line shapes, described by the stochastic Liouville equation.
Journal ArticleDOI
Markovian master equations: a critical study
TL;DR: In this article, the authors derive Markovian master equations for single and interacting harmonic systems in different scenarios, including strong internal coupling, and compare the dynamics resulting from the corresponding master equations with numerical simulations of the global system's evolution.
Journal ArticleDOI
Comparison of far-from-equilibrium work relations
TL;DR: In this paper, the relationship between these two sets of results is elucidated, then illustrated with an undergraduate-level solvable model, and the analysis also serves to clarify the physical interpretation of different definitions of work that have been used in the context of thermodynamic systems driven away from equilibrium.
Journal ArticleDOI
Markovian Master Equations: A Critical Study
TL;DR: The results of these illustrative examples serve to clarify the general properties of other open quantum system scenarios subject to treatment within a Markovian approximation, and assess the robustness of the assumptions usually made in the process of deriving the reduced Markovians.