Work as an external quantum observable and an operational quantum work fluctuation theorem

Abstract

We propose a definition of externally measurable quantum work in driven systems. Work is given as a quantum observable on a control device which is forcing the system and can be determined without knowledge of the system Hamiltonian $H_{\mathcal{S}}$. We argue that quantum work fluctuation theorems which rely on the knowledge of $H_{\mathcal{S}}$ are of little practical relevance, contrary to their classical counterparts. Using our framework, we derive a fluctuation theorem which is operationally accessible and could in principle be implemented in experiments to determine bounds on free energy differences of unknown systems.

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• Trade-offs between precision and fluctuations in charging finite-dimensional quantum batteries
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• Dynamics of a strongly coupled quantum heat engine -- computing bath observables from the hierarchy of pure states
• Jarzynski equality for conditional stochastic work
• Inferring work by quantum superposing forward and time-reversal evolutions
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