论文标题
精确绑定和最佳控制在定期调制的连续量子热机器中
Precision bound and optimal control in periodically modulated continuous quantum thermal machines
论文作者
论文摘要
我们使用Floquet形式主义来研究定期调制的连续量子热机的波动。我们提供了此类机器的通用理论，其次是正弦，最佳和圆形调制的特定示例。对于所有考虑的调制，热力学不确定性关系（TUR）持有。有趣的是，在正弦调制的情况下，TUR比在热发动机与冰箱过渡点处的最小值，而切碎的随机基础（CRAB）优化方案使我们能够保持比率较小的调制频率。此外，我们的数值分析表明，对于更通用的调制方案，TUR可以显示热发动机对冰箱过渡的特征。我们还研究了此类机器效率波动的界限；我们的结果表明，对于冰箱，效率的波动是从上方和发动机下方的。总体而言，这项研究强调了不同调制方案在设计实用量子热机中所起的关键作用。
We use Floquet formalism to study fluctuations in periodically modulated continuous quantum thermal machines. We present a generic theory for such machines, followed by specific examples of sinusoidal, optimal, and circular modulations respectively. The thermodynamic uncertainty relations (TUR) hold for all modulations considered. Interestingly, in the case of sinusoidal modulation, the TUR ratio assumes a minimum at the heat engine to refrigerator transition point, while the Chopped Random Basis (CRAB) optimization protocol allows us to keep the ratio small for a wide range of modulation frequencies. Furthermore, our numerical analysis suggests that TUR can show signatures of heat engine to refrigerator transition, for more generic modulation schemes. We also study bounds in fluctuations in the efficiencies of such machines; our results indicate that fluctuations in efficiencies are bounded from above for a refrigerator, and from below for an engine. Overall, this study emphasizes the crucial role played by different modulation schemes in designing practical quantum thermal machines.
