Institute for Mathematical Physics Analysis of Quantum Semigroups with Gks–lindblad Generators Ii. General Analysis of Quantum Semigroups with Gks–lindblad Generators Ii. General
Institute for Mathematical Physics Analysis of Quantum Semigroups with Gks–lindblad Generators Ii. General Analysis of Quantum Semigroups with Gks–lindblad Generators Ii. General
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通讯作者：
B. Baumgartner;H. Narnhofer
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作者：
B. Baumgartner;H. Narnhofer
描述有限维空间中开放量子系统时间演化的半群具有一种特殊形式的生成元，称为林德布拉德生成元。对这些生成元以及相应的时间演化过程进行了分析，并将其特征描述为衰减、耗散和退相。针对这些过程，系统的希尔伯特空间具备一种特殊结构，即分解为相互正交子空间的和。详细给出了所有定态的完备集以及演化的渐近行为。研究了关于不变算符和对称性的一些不寻常的特殊事实，并给出了示例。讨论了结构和定态的微扰理论，并在案例研究中进行了应用。
Semigroups describing the time evolution of open quantum systems in finite-dimensional spaces have generators of a special form, known as Lindblad generators. These generators and the corresponding processes of time evolution are analyzed, characterized as Decay, Dissipation and Dephasing. In relation to these processes the Hilbert space of the system is equipped with a special structure, a decomposition into a sum of mutually orthogonal subspaces. The complete set of all the stationary states and the asymptotic behavior of the evolutions are presented in detail. Some unusual special facts about invariant operators and symmetries are studied, examples are demonstrated. Perturbation theory for the structure and for the stationary states is discussed and performed in case studies.