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 -