AI 中文总结
研究费米子、玻色子及经典载流子相干热电输运，通过选择热机运行得出电荷电流的热力学不确定性关系，明确不同载流子下法诺因子下限及对经典马尔可夫过程不确定性关系的限制，且数值证明界限严格。
AI 中文摘要
我们表明，对于费米子相干热电输运，选择热机运行会产生电荷电流的热力学不确定性关系，该关系对相应的法诺因子施加了\(F > 1/2\)的通用下限。我们发现，经典马尔可夫过程中违反热力学不确定性关系（通常与量子优势相关）在热机中比一般热力学过程所允许的受到更多限制。对于玻色子和经典载流子，最小法诺因子增加到\(F > 1\)，且经典马尔可夫过程的热力学不确定性关系从未被违反。我们提供了数值证据，表明所有获得的界限都是严格的，并且可以通过适当设计的传输来达到饱和。
英文摘要
We show that for fermionic coherent thermoelectric transport, selecting heat-engine operation yields a thermodynamic uncertainty relation for the charge current that imposes a universal lower limit of $F > 1/2$ on the corresponding Fano factor. We find that violations of the thermodynamic uncertainty relation for classical Markov processes, typically associated with a quantum advantage, are far more restricted for heat engines than what is allowed by a generic thermodynamic process. For bosonic and classical carriers, the minimum Fano factor increases to $F > 1$, and the thermodynamic uncertainty relation for classical Markov processes is never violated. We provide numerical evidence that all the obtained bounds are tight and can be saturated by properly designed transmissions.
Comments4 + 2 pages (+ supplementary info), 4 + 4 figures. Comments are welcome!
