基于涨落定理的非厄米熵产生
Non-Hermitian entropy production from fluctuation theorems
浏览论文内容
中文总结 AI 辅助
该研究为非厄米动力学构建热力学框架，基于涨落定理确定非厄米演化中保持正值的熵产生量，关联其与非厄米熵概念并推导定律，还与信息论量建立联系推导界，分解熵产生并揭示例外点附近相干项特征。
中文摘要 AI 辅助
我们基于涨落定理的后选择版本，为非厄米动力学开发了一个第一性原理热力学框架。这使我们能够确定一个在整个非厄米演化过程中保持正值的量，可解释为后选择动力学的熵产生。我们将此量与先前提出的非厄米熵概念相关联并推导相关第二定律。此外，我们与信息论量建立联系，特别是佩茨 - 雷尼散度，并利用此联系推导上下界。最后，我们将熵产生分解为非相干和相干贡献，确定了例外点附近相干项的独特特征。我们使用基于两能级系统的非厄米演化的典型模型来说明我们的结果。
英文摘要
We develop a first-principles thermodynamic framework for non-Hermitian dynamics based on a post-selected version of the fluctuation theorem. This allows us to identify a quantity that remains positive throughout the non-Hermitian evolution and can be interpreted as the entropy production of the post-selected dynamics. We relate this quantity to previously proposed notions of non-Hermitian entropy and derive an associated second law. Furthermore, we establish a connection with information-theoretic quantities, in particular the Petz-Rényi divergences, and leverage this connection to derive upper and lower bounds. Finally, we decompose the entropy production into incoherent and coherent contributions, identifying distinctive features of the coherent term in the vicinity of exceptional points. We illustrate our results using a paradigmatic model of non-Hermitian evolution based on a two-level system.
