Quantum heat engine based on a three-spin-½ XX model with DM interaction and magnetic field
摘要
This paper investigates the thermodynamic performance of a quantum heat engine (QHE) based on a three-spin-½ XX model in the presence of Dzyaloshinskii–Moriya (DM) interaction and an external magnetic field. By analyzing the system under varying DM coupling parameters and magnetic field strengths, we calculate the heat absorbed from the hot reservoir, heat released to the cold reservoir, net work output, and cycle efficiency. The results show that optimal engine performance, characterized by high positive work and efficiency, occurs when there is a significant asymmetry between the DM interaction strengths in the hot and cold stages of the cycle. In the absence of a magnetic field, a large D₁ and small D₂ enhance work extraction and efficiency. Introducing an external magnetic field modifies the energy spectrum through Zeeman splitting, leading to nontrivial behaviors such as isolated regions of positive work and reduced maximum efficiency. At strong field strengths, the interplay between DM interaction and the magnetic field becomes the dominant factor determining work output and efficiency. These findings highlight the sensitivity of spin-based quantum heat engines to interaction parameters and external control fields, offering insights into the design of efficient nanoscale thermal machines.