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Beyond heat baths II: framework for generalized thermodynamic resource theories

Yunger Halpern, Nicole (2018) Beyond heat baths II: framework for generalized thermodynamic resource theories. Journal of Physics A: Mathematical and Theoretical, 51 (9). Art. No. 094001. ISSN 1751-8113. doi:10.1088/1751-8121/aaa62f.

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Thermodynamics, which describes vast systems, has been reconciled with small scales, relevant to single-molecule experiments, in resource theories. Resource theories have been used to model exchanges of energy and information. Recently, particle exchanges were modeled; and an umbrella family of thermodynamic resource theories was proposed to model diverse baths, interactions, and free energies. This paper motivates and details the family's structure and prospective applications. How to model electrochemical, gravitational, magnetic, and other thermodynamic systems is explained. Szilárd's engine and Landauer's Principle are generalized, as resourcefulness is shown to be convertible not only between information and gravitational energy, but also among diverse degrees of freedom. Extensive variables are associated with quantum operators that might fail to commute, introducing extra nonclassicality into thermodynamic resource theories. An early version of this paper partially motivated the later development of noncommutative thermalization. This generalization expands the theories' potential for modeling realistic systems with which small-scale statistical mechanics might be tested experimentally.

Item Type:Article
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URLURL TypeDescription Paper
Yunger Halpern, Nicole0000-0001-8670-6212
Additional Information:© 2018 Institute of Physics. Received 17 November 2017. Accepted 9 January 2018. Accepted Manuscript online 9 January 2018. Published 1 February 2018. The author is grateful for conversations with Ian Durham, Tobias Fritz, David Jennings, Matteo Lostaglio, Iman Marvian, Evgeny Mozgunov, Markus P Müller, Joseph M Renes, Brian Space, and Rob Spekkens. This research was supported by a Virginia Gilloon Fellowship, an IQIM Fellowship, NSF grant PHY-0803371, and the Perimeter Institute for Theoretical Physics. The Institute for Quantum Information and Matter (IQIM) is an NSF Physics Frontiers Center supported by the Gordon and Betty Moore Foundation. Research at the Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Virginia Gilloon FellowshipUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Perimeter Institute for Theoretical PhysicsUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Industry CanadaUNSPECIFIED
Ontario Ministry of Research and InnovationUNSPECIFIED
Subject Keywords:thermodynamics, information theory. statistical mechanics. resource theory, one-shot information theory
Issue or Number:9
Record Number:CaltechAUTHORS:20180202-075245400
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Official Citation:Nicole Yunger Halpern 2018 J. Phys. A: Math. Theor. 51 094001
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:84641
Deposited By: Ruth Sustaita
Deposited On:02 Feb 2018 17:36
Last Modified:12 Jul 2022 19:45

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