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在定期调制的连续量子热机器中,精度有限和最佳控制
Arpan Das1, Shishira Mahunta2, Bijay Kumar Agarwalla3
1Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziądzka 5/7, 87-100 Toruń, Poland.
Physical review. E
|August 16, 2023
概括
我们使用Floquet理论探索了量子热机器中的波动. 不同的调制方案会影响热力学不确定性关系和效率波动,这对于设计实际量子设备至关重要.
科学领域:
- 量子热力学就是量子热力学.
- 统计力学就是统计力学.
- 凝聚物质物理学 凝聚物质物理学
背景情况:
- 定期调节的量子热机可以对热力学过程提供可调节的控制.
- 了解波动是优化这些机器性能和可靠性的关键.
研究的目的:
- 为周期调制的连续量子热机器中波动开发一种通用理论.
- 研究各种调制方案下的热力学不确定性关系 (TUR) 的有效性和行为.
- 分析量子热发动机和冰箱效率波动的边界.
主要方法:
- 应用Floquet形式主义来分析量子热机器.
- 对调制机器的通用理论框架的开发.
- 对侧面模拟,最佳模拟和循环模拟协议的具体分析.
- 数字分析来探索TUR签名和效率极限.
主要成果:
- 热力学不确定性关系 (TUR) 已被证明对所有考虑的调制具有普遍性.
- 对于侧面调制,在发动机-冰箱过渡点上,TUR比率被最小化.
- 一个切割的随机基础优化协议在广泛的频率范围内保持低的TUR比率.
- 数字结果表明,TUR可以在通用方案中向热发动机信号冷藏机过渡.
- 对于冰箱,效率波动的边界是上方的,对于发动机则是下方的.
结论:
- 调制方案在确定量子热机的波动性质方面发挥着至关重要的作用.
- 这些发现提供了通过控制调制策略来优化量子热器件的见解.
- 这项工作突出了量子热机的理论框架和实际设计考虑之间的相互作用.
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