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The second laws of quantum thermodynamics
Open accessAbstract
Significance: In ordinary thermodynamics, transitions are governed by a single quantity–the free energy. Its monotonicity is a formulation of the second law. Here, we find that the second law for microscopic or highly correlated systems takes on a very different form than it does at the macroscopic scale, imposing not just one constraint on state transformations, but many. We find a family of quantum free energies which generalize the standard free energy, and can never increase. The ordinary second law corresponds to the nonincreasing of one of these free energies, with the remainder imposing additional constraints on thermodynamic transitions. In the thermodynamic limit, these additional second laws become equivalent to the standard one. We also prove a strengthened version of the zeroth law of thermodynamics, allowing a definition of temperature.
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Cites
Elements of Information Theory
Cover, T. M., & Thomas, J. A. (2005) · doi:10.1002/047174882x · Cited by 13,791
Irreversibility and heat generation in the computing process
Landauer, R. (1961) · IBM Journal of Research and Development · doi:10.1147/rd.53.0183 · Cited by 4,980
The thermodynamics of computation—a review
Bennett, C. H. (1982) · International Journal of Theoretical Physics · doi:10.1007/bf02084158 · Cited by 2,006
Wilde, M. M., Winter, A., & Yang, D. (2014) · Communications in Mathematical Physics · doi:10.1007/s00220-014-2122-x · Cited by 516
How Small Can Thermal Machines Be? The Smallest Possible Refrigerator
Linden, N., Popescu, S., & Skrzypczyk, P. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.130401 · Cited by 453
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Reversible Framework for Quantum Resource Theories
Brandão, F. G. S. L., & Gour, G. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.070503 · Cited by 357
Self-citationGeneralized Geometric Quantum Speed Limits
Pires, D. P., Cianciaruso, M., Céleri, L. C., Adesso, G., & Soares-Pinto, D. O. (2016) · Physical Review X · doi:10.1103/physrevx.6.021031 · Cited by 265
Beyond heat baths: Generalized resource theories for small-scale thermodynamics
Yunger Halpern, N., & Renes, J. M. (2016) · Physical Review E · doi:10.1103/physreve.93.022126 · Cited by 85
Relativistic quantum information
Mann, R. B., & Ralph, T. C. (2012) · Classical and Quantum Gravity · doi:10.1088/0264-9381/29/22/220301 · Cited by 76
Metadata
- Authors
- Brandão, F., Horodecki, M., Ng, N., Oppenheim, J., & Wehner, S.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 2015-02-09
- Volume
- 112
- Issue
- 11
- Pages
- 3275-3279
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W2006991014
- Cited by
- 718
- References
- 5
- FWCI
- 51.96
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Brandão, F., Horodecki, M., Ng, N., Oppenheim, J., & Wehner, S. (2015). The second laws of quantum thermodynamics. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.1411728112
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