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Colloquium: Quantum fluctuation relations: Foundations and applications
Open accessAbstract
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.
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Citations
Cites
Thermal Agitation of Electricity in Conductors
Johnson, J. B. (1928) · Physical Review · doi:10.1103/physrev.32.97 · Cited by 1,811
Nonequilibrium work distribution of a quantum harmonic oscillator
Deffner, S., & Lutz, E. (2008) · Physical Review E · doi:10.1103/physreve.77.021128 · Cited by 167 · cited 5×
“(48) The work pdf has been calculated explicitly for a forced harmonic oscillator (Talkner et al., 2008a, 2009a) and for a parametric oscillator with varying frequency (Deffner et al., 2010; Deffner and Lutz, 2008).”
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Cited by
Stochastic thermodynamics, fluctuation theorems and molecular machines
Seifert, U. (2012) · Reports on Progress in Physics · doi:10.1088/0034-4885/75/12/126001 · Cited by 3,300
Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control
Deffner, S., & Campbell, S. (2017) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8121/aa86c6 · Cited by 585
Equivalence of Quantum Heat Machines, and Quantum-Thermodynamic Signatures
Uzdin, R., Levy, A., & Kosloff, R. (2015) · Physical Review X · doi:10.1103/physrevx.5.031044 · Cited by 412
More bang for your buck: super-adiabatic quantum engines
Campo, A. D., Goold, J., & Paternostro, M. (2014) · Scientific Reports · doi:10.1038/srep06208 · Cited by 306
Trade-Off Between Speed and Cost in Shortcuts to Adiabaticity
Campbell, S., & Deffner, S. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.100601 · Cited by 235
Metadata
- Authors
- Campisi, M., Hänggi, P., & Talkner, P.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 2011-07-06
- Volume
- 83
- Issue
- 3
- Pages
- 771-791
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- OpenAlex
- W2001903741
- Cited by
- 1,275
- References
- 2
- FWCI
- 47.55
- Type
- journal article
- Language
- en
- Open access
- green
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- Campisi, M., Hänggi, P., & Talkner, P. (2011). Colloquium: Quantum fluctuation relations: Foundations and applications. Reviews of Modern Physics. https://doi.org/10.1103/revmodphys.83.771
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