| Issue |
EPL
Volume 143, Number 6, September 2023
|
|
|---|---|---|
| Article Number | 68001 | |
| Number of page(s) | 6 | |
| Section | Quantum information | |
| DOI | https://doi.org/10.1209/0295-5075/acfb33 | |
| Published online | 10 October 2023 | |
Quantum work statistics of controlled evolutions
School of Physics, University College Dublin - Belfield, Dublin 4, Ireland, Centre for Quantum Engineering, Science, and Technology, University College Dublin - Belfield, Dublin 4, Ireland and Dahlem Center for Complex Quantum Systems, Freie Universität Berlin - Arnimallee 14, 14195 Berlin, Germany
(a) E-mail: steve.campbell@ucd.ie (corresponding author)
Received: 3 June 2023
Accepted: 19 September 2023
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.
© 2023 The author(s)
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