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Quantum thermodynamics with multiple conserved quantities

Hinds Mingo, Erick and Guryanova, Yelena and Faist, Philippe and Jennings, David (2019) Quantum thermodynamics with multiple conserved quantities. In: Thermodynamics in the Quantum Regime. Fundamental Theories of Physics. No.195. Springer , Cham, pp. 751-777. ISBN 978-3-319-99045-3. https://resolver.caltech.edu/CaltechAUTHORS:20190213-103051707

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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.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/978-3-319-99046-0_31DOIArticle
https://arxiv.org/abs/1806.08325arXivDiscussion Paper
ORCID:
AuthorORCID
Hinds Mingo, Erick0000-0001-7774-7688
Guryanova, Yelena0000-0001-9943-9424
Additional Information:© 2018 Springer Nature Switzerland AG. First Online: 02 April 2019. EHM is funded by the EPSRC, DJ is supported by the Royal Society. YG acknowledges funding from the FWF START grant Y879-N27. PhF acknowledges support from the Swiss National Science Foundation (SNSF) through the Early PostDoc.Mobility Fellowship No. P2EZP2_165239 hosted by the Institute for Quantum Information and Matter (IQIM) at Caltech, from the IQIM which is a National Science Foundation (NSF) Physics Frontiers Center (NSF Grant PHY-1733907), and from the Department of Energy Award DE-SC0018407.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Engineering and Physical Sciences Research Council (EPSRC)UNSPECIFIED
Royal SocietyUNSPECIFIED
FWF Der WissenschaftsfondsY879-N27
Swiss National Science Foundation (SNSF)P2EZP2_165239
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSFPHY-1733907
Department of Energy (DOE)DE-SC0018407
Series Name:Fundamental Theories of Physics
Issue or Number:195
Record Number:CaltechAUTHORS:20190213-103051707
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190213-103051707
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92879
Collection:CaltechAUTHORS
Deposited By: Bonnie Leung
Deposited On:13 Feb 2019 18:40
Last Modified:03 Oct 2019 20:49

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