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arXiv 2609.16327math.AP

具有波致记忆的有限级量子系统中的有效耗散与渐近稳定性

Effective Dissipation and Asymptotic Stability in a Finite-Level Quantum System with Wave-Induced Memory

  • Université Côte d’Azur(蔚蓝海岸大学)

机构由 AI 辅助整理,请以论文原文为准。

Thierry Goudon

AI总结:

本文研究有限能级量子系统与波动方程耦合下的有效耗散,揭示阻尼量子相干性的关键机制,并区分纯态与混合态情形。

AI中文摘要:

我们研究由Liouville-Von Neumann方程建模的量子系统,该系统具有有限数量的能级。该系统与一个波动方程耦合,旨在再现环境对量子系统的影响。整个动力学是能量守恒的,但预期阻尼效应体现在与环境的能量交换中。我们分析了这些效应如何有效阻尼量子相干性。我们展示了此类阻尼产生的关键机制和结构性质,并清晰区分了纯态与混合态情形。

英文摘要:

We study quantum systems modeled by Liouville-Von Neumann equations, with a finite number of energy levels. The system is coupled to a wave equation, intended to reproduce environmental effects on the quantum system. The whole dynamic is energy conservative, but damping effects are expected to be embodied into the energy exchanges with the environment. We analyse how these effects can effectively damp quantum coherences. We exhibit key mechanisms and structural properties for such a damping to arise, with a neat distinction between pure and mixed cases

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