TY - JOUR
T1 - Entropic equality for worst-case work at any protocol speed
AU - Dahlsten, Oscar C.O.
AU - Choi, Mahn Soo
AU - Braun, Daniel
AU - Garner, Andrew J.P.
AU - Halpern, Nicole Yunger
AU - Vedral, Vlatko
N1 - Publisher Copyright:
© 2017 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2017/4
Y1 - 2017/4
N2 - 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.
AB - 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.
KW - Crooks fluctuation theorem
KW - electron box
KW - entropy
KW - single shot statistical mechanics
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U2 - 10.1088/1367-2630/aa62ba
DO - 10.1088/1367-2630/aa62ba
M3 - Article
AN - SCOPUS:85018345045
VL - 19
JO - New Journal of Physics
JF - New Journal of Physics
SN - 1367-2630
IS - 4
M1 - 043013
ER -