GKLS主方程五十年：基础与早期发展
Fifty Years of the GKLS Master Equation: Foundations and Early Developments
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中文总结 AI 辅助
本文回顾GKLS主方程五十年的概念与历史起源，展示多个数学物理思想如何汇聚于该结构定理，并强调其作为开放量子动力学基础与活跃框架的持久重要性。
中文摘要 AI 辅助
2026年将迎来两篇开创性论文的五十周年纪念，Gorini、Kossakowski和Sudarshan以及独立工作的Lindblad在论文中刻画了完全正量子动力学半群的生成元。我们重新审视了通往Gorini-Kossakowski-Lindblad-Sudarshan（GKLS）主方程的概念与历史路径，并考察了其若干早期发展及影响。我们的目标是展示多个最初相互独立的数学和物理思想如何汇聚于GKLS结构定理，该定理立即为耗散量子现象的描述开辟了众多应用途径，并说明该定理在五十年后依然是开放量子动力学的基础性成果和活跃框架。
英文摘要
The year 2026 marks the fiftieth anniversary of the two seminal papers in which Gorini, Kossakowski, and Sudarshan, and independently Lindblad, characterized the generators of completely positive quantum dynamical semigroups. We revisit the conceptual and historical route leading to the Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) master equation and examine several of its early developments and consequences. Our aim is to show how several initially separate mathematical and physical ideas converged in the GKLS structure theorem, imme- diately opening the way to manifold consequences for the description of dissipative quantum phenomena and how that theorem, fifty years later, remains both a foundational result and an active framework for open quantum dynamics.
发表机构
- University of Trieste（的里雅斯特大学）
- Istituto Nazionale di Fisica Nucleare, Sezione di Trieste（意大利国家核物理研究所的里雅斯特分部）
- Institute of Physics, Nicolaus Copernicus University（尼古拉·哥白尼大学物理研究所）
- Department of Physics, University of Bari（巴里大学物理系）
- Istituto Nazionale di Fisica Nucleare, Sezione di Bari（意大利国家核物理研究所巴里分部）
机构由 AI 辅助整理，请以论文原文为准。
