Hinds Mingo, E, Guryanova, Y, Faist, P et al. (1 more author) (2019) Quantum Thermodynamics with Multiple Conserved Quantities. In: Binder, F, Correa, LA, Gogolin, C, Anders, J and Adesso, G, (eds.) Thermodynamics in the Quantum Regime: Fundamental Aspects and New Directions. Fundamental Theories of Physics, 195 . Springer , pp. 751-771. ISBN 978-3-319-99045-3
Abstract
In this chapter we address the topic of quantum thermodynamics in the presence of additional observables beyond the energy of the system. In particular we discuss the special role that the generalized Gibbs ensemble plays in this theory, and derive this state from the perspectives of a micro-canonical ensemble, dynamical typicality and a resource-theory formulation. A notable obstacle occurs when some of the observables do not commute, and so it is impossible for the observables to simultaneously take on sharp microscopic values. We show how this can be circumvented, discuss information-theoretic aspects of the setting, and explain how thermodynamic costs can be traded between the different observables. Finally, we discuss open problems and future directions for the topic.
Metadata
Item Type: | Book Section |
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Copyright, Publisher and Additional Information: | © Springer Nature Switzerland AG 2018. This version has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/978-3-319-99046-0_31 |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Theoretical Physics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 25 Feb 2019 13:55 |
Last Modified: | 28 Jan 2024 01:17 |
Published Version: | https://doi.org/10.1007/978-3-319-99046-0 |
Status: | Published |
Publisher: | Springer |
Series Name: | Fundamental Theories of Physics |
Identification Number: | 10.1007/978-3-319-99046-0_31 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:139386 |