A Finite-Time Quantum Otto Engine subject to Control Noise and Enhancement Techniques

TL;DR

This paper investigates how control noise affects the performance of a quantum Otto engine and explores enhancement techniques like counterdiabatic driving and quantum lubrication, revealing their limited effectiveness under certain conditions.

Contribution

It provides a detailed analysis of control noise impact on quantum Otto cycles and evaluates the effectiveness of specific quantum enhancement methods in noisy environments.

Findings

Control noise reduces engine performance.

Enhancement techniques improve performance only in specific regimes.

Performance fluctuations increase with power and efficiency, consistent with thermodynamic bounds.

Abstract

With the development of any quantum technology comes a need for precise control of quantum systems. Here, we evaluate the impact of control noise on a quantum Otto cycle. Whilst it is postulated that noiseless quantum engines can approach maximal Otto efficiency in finite times, the existence of white noise on the controls is shown to negatively affect average engine performance. Two methods of quantum enhancement, counterdiabatic driving and quantum lubrication, are implemented and found to improve the performance of the noisy cycle only in specified parameter regimes. To gain insight into performance fluctuations, projective energy measurements are used to construct a noise-averaged probability distribution without assuming full thermalisation or adiabaticity. From this, the variances in thermodynamic currents are observed to increase as average power and efficiency improve, and are also shown to be consistent with known bounds from thermodynamic uncertainty relations. Lastly, by comparing the average functioning of the unmonitored engine to a projectively-measured engine cycle, the role of coherence in work extraction for this quantum engine model is investigated.