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arXiv · 2309.04419

Quantum work statistics of controlled evolutions

Steve Campbell
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Abstract

We use the quantum work statistics to characterize the controlled dynamics governed by a counterdiabatic driving field. Focusing on the Shannon entropy of the work probability distribution, $P(W)$, we demonstrate that the thermodynamics of a controlled evolution serves as an insightful tool for studying the non-equilibrium dynamics of complex quantum systems. In particular, we show that the entropy of $P(W)$ recovers the expected scaling according to the Kibble-Zurek mechanism for the Landau-Zener model. Furthermore, we propose that the entropy of the work distribution provides a useful summary statistic for characterizing the need and complexity of the control fields for many-body systems.

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Steve Campbell. 2023-09-08. Quantum work statistics of controlled evolutions. https://doi.org/10.1209/0295-5075%2Facfb33

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