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The Role of Quantum Work Statistics in Many-Body Physics

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Thermodynamics in the Quantum Regime

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

Abstract

In this contribution, we aim to illustrate how quantum work statistics can be used as a tool in order to gain insight on the universal features of non-equilibrium many-body systems. Focusing on the two-point measurement approach to work, we first outline the formalism and show how the related irreversible entropy production may be defined for a unitary process. We then explore the physics of sudden quenches from the point of view of work statistics and show how the characteristic function of work can be expressed as the partition function of a corresponding classical statistical physics problem in a film geometry. Connections to the concept of fidelity susceptibility are explored along with the corresponding universal critical scaling. We also review how large deviation theory applied to quantum work statistics gives further insight to universal properties. The quantum-to-classical mapping turns out to have close connections with the historical problem of orthogonality catastrophe: we therefore discuss how this relationship may be exploited in order to experimentally extract quantum work statistics in many-body systems.

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Acknowledgements

J.G. is supported by a SFI Royal Society University Research Fellowship. This project has received funding under the European Unions’s Horizon 2020 research and innovation programme (great agreement no 758403-ODYSSEY).

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Authors and Affiliations

  1. School of Physics, Trinity College Dublin, Dublin 2, Ireland

    John Goold

  2. Dip. Fisica, Università della Calabria, Arcavacata di Rende (CS), 87036, Italy

    Francesco Plastina

  3. INFN - Gruppo collegato di Cosenza, Cosenza, Italy

    Francesco Plastina

  4. SISSA — International School for Advanced Studies, via Bonomea 265, 34136, Trieste, Italy

    Andrea Gambassi

  5. INFN, sezione di Trieste, via Bonomea 265, 34136, Trieste, Italy

    Andrea Gambassi

  6. SISSA — International School for Advanced Studies, via Bonomea 265, 34136, Trieste, Italy

    Alessandro Silva

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Correspondence to John Goold .

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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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Goold, J., Plastina, F., Gambassi, A., Silva, A. (2018). The Role of Quantum Work Statistics in Many-Body Physics. 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_13

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