Entropic equality for worst-case work at any protocol speed

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 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.

4 page + 14 page appendix; 8 figures; AAM

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Cited by in corpus (11)

• Fully quantum fluctuation theorems
• Initial-State Dependence of Thermodynamic Dissipation for any Quantum Process
• Non-Gaussian work statistics at finite-time driving
• Fluctuations of work cost in optimal generation of correlations
• Fluctuations in Single-Shot $\epsilon$-Deterministic Work Extraction
• Information Fluctuation Theorem for an Open Quantum Bipartite System
• Entropy of the quantum work distribution
• Maximum one-shot dissipated work from Renyi divergences
• Dissipation in the Generalized Gibbs Ensemble
• One-shot information-theoretical approaches to fluctuation theorems
• Informational work storage in quantum thermodynamics