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Performance of Quantum Thermodynamic Cycles

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Book cover Thermodynamics in the Quantum Regime

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

Abstract

Quantum cycles are the microscopic version of the macroscopic thermodynamic cycles, such as the Carnot cycle or the Otto cycle. The quantum Otto cycle consists of four-strokes, two adiabats and two isochores. The equations for the dynamics on the adiabats and isochores are derived from first principles and illustrated for a working medium consisting of spins. We review a frictionlike behaviour due to the noncommutability of the external and internal Hamiltonians. The performance of the engine cycle and the refrigerator cycle are illustrated using a simple model of an ensemble of spin pairs with an effective interaction.

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Acknowledgements

Tova Feldmann thanks Prof. Ronnie Kosloff the collaboration for over twenty years, during which Ronnie taught her new ways of thinking in science. Tova Feldmann also thanks Amikam Levy for many interesting conversations. José P. Palao thanks Ronnie Kosloff, Antonia Ruiz and J. Onam González for useful discussions, and acknowledges financial support by the Spanish MINECO (FIS2013-4132-P, FIS2017-82855-P).

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Authors and Affiliations

  1. Institute of Chemistry, Hebrew University of Jerusalem, 91904, Jerusalem, Israel

    Tova Feldmann

  2. Departamento de Física and IUdEA, Universidad de La Laguna, E-38204, La Laguna, Spain

    José P. Palao

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  1. Tova Feldmann
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  2. José P. Palao
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Correspondence to José P. Palao .

Editor information

Editors and Affiliations

  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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Feldmann, T., Palao, J.P. (2018). Performance of Quantum Thermodynamic Cycles. 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_3

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