发表机构
The University of Tokyo（东京大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过构造反例，反驳了第二大特征值定义的相干数下界约束稳态熵产生的推测，表明其不必然刻画相干振荡程度。
AI 中文摘要
我们考察了Oberreiter等人[Phys. Rev. E 106, 014106 (2022)]推测的谱耗散-相干权衡不等式，该不等式声称由第二大特征值定义的相干数提供了单位振荡的稳态熵产生的下界。我们通过明确构造一个反例来反驳这一推测，该反例伴随有限的相干数和消失的稳态熵产生。此模型还排除了利用转移率矩阵第二大特征值的实部和虚部的一类广泛的热力学界。我们的结果表明，第二大特征值并不必然刻画相干振荡的程度。
英文摘要
We examine the spectral dissipation-coherence trade-off inequality conjectured by Oberreiter {\it et al}. [Phys. Rev. E 106, 014106 (2022)], stating that the coherent number, defined from the second largest eigenvalue, provides a lower bound on the stationary entropy production per unit oscillation. We disprove this conjecture by explicitly constructing a counterexample, which accompanies finite coherent number with vanishing stationary entropy production. This model also excludes a wide class of thermodynamic bound with the real and imaginary parts of the second largest eigenvalue of the transition rate matrix. Our result implies that the second largest eigenvalue does not necessarily characterize the degree of coherent oscillation.
Comments6 pages, 1 figure
