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Quantum Fluctuation Theorems

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Thermodynamics in the Quantum Regime

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 195))

Abstract

Recent advances in experimental techniques allow one to measure and control systems at the level of single molecules and atoms. Here gaining information about fluctuating thermodynamic quantities is crucial for understanding nonequilibrium thermodynamic behavior of small systems. To achieve this aim, stochastic thermodynamics offers a theoretical framework, and nonequilibrium equalities such as the Jarzynski equality and fluctuation theorems provide key information about the fluctuating thermodynamic quantities. We 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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Acknowledgements

The authors thank Y. Masuyama for providing a cartoon of Maxwell’s demon in Fig. 10.3. K. F. acknowledges supports from the National Science Foundation of China under Grants No. 11375012 and 11534002, and The Recruitment Program of Global Youth Experts of China. M. U. acknowledges support by a Grant-in-Aid for Scientific Research on Innovative Areas Topological Materials Science (KAKENHI Grant No. JP15H05855). T. S. acknowledges supports from JSPS KAKENHI Grant No. JP16H02211 and No. JP25103003. Part of the research reviewed in this chapter was made possible by the COST MP1209 network “Thermodynamics in the quantum regime”.

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  1. Ken Funo

    Present address: RIKEN Cluster for Pioneering Reserach, 2-1 Hirosawa, Wako, Saitama, 351-0198, Japan

Authors and Affiliations

  1. School of Physics, Peking University, Beijing, 100871, China

    Ken Funo

  2. Department of Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan

    Masahito Ueda

  3. RIKEN Center for Emergent Matter Science (CEMS), 2-1 Hirosawa, Wako, Saitama, 351-0198, Japan

    Masahito Ueda

  4. Department of Applied Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656, Japan

    Takahiro Sagawa

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  1. Ken Funo
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  3. Takahiro Sagawa
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Correspondence to Takahiro Sagawa .

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  1. School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore

    Felix Binder

  2. School of Mathematical Sciences, University of Nottingham, Nottingham, UK

    Luis A. Correa

  3. ICFO: Institut de Ciencies Fotoniques, Barcelona Institute of Science and Technology, Castelldefels, Spain

    Christian Gogolin

  4. CEMPS, Physics and Astronomy, University of Exeter, Exeter, UK

    Janet Anders

  5. School of Mathematical Sciences, University of Nottingham, Nottingham, UK

    Gerardo Adesso

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Funo, K., Ueda, M., Sagawa, T. (2018). Quantum Fluctuation Theorems. In: Binder, F., Correa, L., Gogolin, C., Anders, J., Adesso, G. (eds) Thermodynamics in the Quantum Regime. Fundamental Theories of Physics, vol 195. Springer, Cham. https://doi.org/10.1007/978-3-319-99046-0_10

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