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Entropic equality for worst-case work at any protocol speed

Dahlsten, Oscar C. O. and Choi, Mahn-Soo and Braun, Daniel and Garner, Andrew J P and Yunger Halpern, Nicole and Vedral, Vlatko (2017) Entropic equality for worst-case work at any protocol speed. New Journal of Physics, 19 (4). Art. No. 043013. ISSN 1367-2630. http://resolver.caltech.edu/CaltechAUTHORS:20170410-124019729

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Abstract

We derive an equality for non-equilibrium statistical mechanics in finite-dimensional quantum systems. The equality concerns the worst-case work output of a time-dependent Hamiltonian protocol in the presence of a Markovian heat bath. It has the form 'worst-case work = penalty—optimum'. The equality holds for all rates of changing the Hamiltonian and can be used to derive the optimum by setting the penalty to 0. The optimum term contains the max entropy of the initial state, rather than the von Neumann entropy, thus recovering recent results from single-shot statistical mechanics. Energy coherences can arise during the protocol but are assumed not to be present initially. We apply the equality to an electron box.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1088/1367-2630/aa62baDOIArticle
http://iopscience.iop.org/article/10.1088/1367-2630/aa62ba/meta#artAbstPublisherArticle
ORCID:
AuthorORCID
Yunger Halpern, Nicole0000-0001-8670-6212
Additional Information:© 2017 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Received 14 March 2016. Accepted 24 February 2017. Accepted Manuscript online 24 February 2017. Published 10 April 2017. We are grateful to comments on a draft by Dario Egloff. We acknowledge funding from the EPSRC (UK), the Templeton Foundation, the Leverhulme Trust, the Oxford Martin School, the National Research Foundation (Singapore), the EU collaborative project TherMiQ (Grant agreement No. 618074), the Ministry of Education (Singapore), NSF grant PHY-0803371, an IQIM Fellowship, and a Virginia Gilloon Fellowship, the NRF Grant 2015-003689 (Korea), a BK21 Plus Project (Korea), and the Gordon and Betty Moore Foundation.
Group:Institute for Quantum Information and Matter, IQIM
Funders:
Funding AgencyGrant Number
Engineering and Physical Sciences Research Council (EPSRC)UNSPECIFIED
John Templeton FoundationUNSPECIFIED
Leverhulme TrustUNSPECIFIED
Oxford Martin SchoolUNSPECIFIED
National Research Foundation (Singapore)UNSPECIFIED
European Research Council (ERC)618074
Ministry of Education (Singapore)UNSPECIFIED
NSFPHY-0803371
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Caltech Virginia Gilloon FellowshipUNSPECIFIED
National Research Foundation of Korea2015-003689
BK21 Plus Project (Korea)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20170410-124019729
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170410-124019729
Official Citation:Oscar C O Dahlsten et al 2017 New J. Phys. 19 043013
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:76475
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:10 Apr 2017 21:18
Last Modified:10 Apr 2017 21:19

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