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
Citations
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Quantum Fluctuation Theorems.
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Characteristic functions based on a quantum jump trajectory.
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Quantum jump model for a system with a finite-size environment.
TL;DR: A quantum jump model suitable for systems coupled to a finite-size environment is developed and used to study the common fluctuation relations and prove that they are satisfied.
Book ChapterDOI
Quantum Fluctuation Theorems
TL;DR: In this paper, the authors review the recent progress in quantum fluctuation theorems, including the studies of Maxwell's demon which plays a pivotal role in connecting thermodynamics with information.
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Joint statistics of work and entropy production along quantum trajectories.
Harry J. D. Miller,M. Hamed Mohammady,Martí Perarnau-Llobet,Giacomo Guarnieri,Giacomo Guarnieri +4 more
TL;DR: This work derives a general formula for computing the joint statistics of work and entropy production in Markovian driven quantum systems, whose instantaneous steady states are of Gibbs form, and derives a modified fluctuation-dissipation relation for the entropy production alone.
References
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