On Time-Dependent Projectors and a Generalization of the Thermodynamical Approach in the Theory of Open Quantum Systems

IF 0.4 4区数学 Q4 MATHEMATICS

Proceedings of the Steklov Institute of Mathematics Pub Date : 2024-07-11 DOI:10.1134/s0081543824010140

Kh. Sh. Meretukov, A. E. Teretenkov

引用次数: 0

Abstract

We develop a consistent perturbative technique for obtaining a time-local linear master equation based on projection methods in the case where the projection operator depends on time. Then we introduce a generalization of the Kawasaki–Gunton projection operator, which allows us to use this technique to derive, generally speaking, nonlinear master equations in the case of arbitrary ansatzes consistent with some set of observables. Most of the results obtained are of a very general nature, but when discussing them, we put emphasis on the application of these results to the theory of open quantum systems.

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论开放量子系统理论中的时变投影器和热力学方法的一般化

摘要在投影算子依赖于时间的情况下，我们开发了一种基于投影方法的一致扰动技术，用于获得时局域线性主方程。然后，我们介绍了川崎-贡顿投影算子的广义化，这使我们能够利用这种技术推导出一般来说与某些观测值集一致的任意安萨特的非线性主方程。所获得的大部分结果都具有非常普遍的性质，但在讨论这些结果时，我们将重点放在这些结果在开放量子系统理论中的应用上。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Proceedings of the Steklov Institute of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Proceedings of the Steklov Institute of Mathematics is a cover-to-cover translation of the Trudy Matematicheskogo Instituta imeni V.A. Steklova of the Russian Academy of Sciences. Each issue ordinarily contains either one book-length article or a collection of articles pertaining to the same topic.