The invariant-based shortcut to adiabaticity for qubit heat engine operates under quantum Otto cycle

TL;DR

This paper investigates how invariant-based shortcuts to adiabaticity can enhance the performance of a qubit heat engine in a quantum Otto cycle, balancing efficiency gains against the cost of implementing such shortcuts.

Contribution

It introduces a cost analysis for invariant-based shortcuts in a qubit heat engine, demonstrating how to improve efficiency and approach quasi-static performance within finite time.

Findings

Shortcut methods can recover efficiency lost due to non-adiabaticity.

Higher costs enable quasi-static performance at finite times.

Efficiency can be optimized by balancing cost and cycle duration.

Abstract

In this paper, we study the role and relevance of the cost for an invariant-based shortcut to adiabaticity enabled qubit heat engine operates in a quantum Otto cycle. We consider a qubit heat engine with Landau-Zener Hamiltonian and improve its performance using the Lewis-Riesenfeld invariant-based shortcut to adiabaticity method. Addressing the importance of cost for better performance, the paper explores its relationship with the work and efficiency of the heat engine. We analyze the cost variation with the time duration of non-adiabatic unitary processes involved in the heat engine cycle. The cost required to attain the quasi-static performance of the qubit heat engine is also discussed. We found the efficiency lost due to non-adiabaticity of the engine can be revived using the shortcut method and it is even possible to attain quasi-static performance under finite time with higher cost.