Colloquium: Quantum fluctuation relations: Foundations and applications

By Michele Campisi, P. Hänggi, P. Talkner. 2010

918 citations recorded by the source corpus.

Two fundamental ingredients play a decisive role in the foundation of fluctuation relations: the principle of microreversibility and the fact that thermal equilibrium is described by the Gibbs canonical ensemble. Building on these two pillars the reader is guided through a self-contained exposition of the theory and applications of quantum fluctuation relations. These are exact results that constitute the fulcrum of the recent development of nonequilibrium thermodynamics beyond the linear response regime. The material is organized in a way that emphasizes the historical connection between quantum fluctuation relations and (non)linear response theory. A number of fundamental issues are clarified which were not completely settled in the prior literature. The main focus is on (i) work fluctuation relations for transiently driven closed or open quantum systems, and (ii) on fluctuation relations for heat and matter exchange in quantum transport settings. Recently performed and proposed experimental applications are presented and discussed.

Subfields: Atomic and Molecular Physics, and Optics, Civil and Structural Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9db0c0c44c68d216253c97f921bfd6b3633101bd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

In Civil and Structural Engineering

In Statistical and Nonlinear Physics

Citations in the corpus

Shortcuts to adiabaticity: Concepts, methods, and applications (2019, background): “Microscopic irreversibility holds by changing the sign of the external forces in the backwards trajectories (Campisi et al., 2011).”
Quantum Fluctuation Theorems for Arbitrary Environments: Adiabatic and Nonadiabatic Entropy Production (2017, methodology): “Finally, we stress that for equilibrium canonical initial conditions both in the forward and in the backward processes, the trajectory entropy production (23) equals the stochastic dissipative work and one recovers the celebrated Crooks work theorem and the original Jarzynski equality [6, 7].”
Fundamental aspects of steady-state conversion of heat to work at the nanoscale (2016, background): “Deriving and understanding the meaning of such fluctuation theorems in quantum systems is crucial to understand the quantum thermodynamics of such systems, for a review see [344].”
Colloquium : Phononics: Manipulating heat flow with electronic analogs and beyond (2011, background): “This fluctuation theorem (Campisi et al., 2011; Saito and Dhar, 2007) can be restored only under special conditions in the presence of a vanishing Berry curvature Ren et al. (2010).”
Equivalence of Quantum Heat Machines, and Quantum-Thermodynamic Signatures (2015, methodology): “The measurement protocol used in quantum fluctuation theorems [3,4,72] eliminates the density-matrix coherences.”
Colloquium : Statistical mechanics and thermodynamics at strong coupling: Quantum and classical (2019, methodology): “…leaves open a considerable ambiguity for 30 Such situations are realized in heat and particle exchange between reservoirs (Andrieux et al., 2009; Campisi et al., 2011, 2010a; Jeon et al., 2017) and also in cyclically performing engines (Ding et al., 2018; Kosloff and Rezek, 2017; Zheng et al.,…”
Thermodynamics with Continuous Information Flow (2014, background): “[79] M.”