量子耗散系统稳定性分析的简单试验台

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Annales Henri Poincaré Pub Date : 2024-06-24 DOI:10.1007/s00023-024-01458-7

Thierry Goudon, Simona Rota Nodari

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引用次数: 0

摘要

我们研究了一个具有非线性的双态量子系统，其目的是描述通过非局部耦合项产生的与复杂环境的相互作用。我们研究了特定解的稳定性，这些解是作为系统能量函数的约束极值获得的。模型的简洁性使我们能够进行完整的稳定性分析。我们借此机会详细回顾了研究稳定性问题的技术。我们还指出了基于较简单渐近模型的微扰方法的局限性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

A Simple Testbed for Stability Analysis of Quantum Dissipative Systems

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A Simple Testbed for Stability Analysis of Quantum Dissipative Systems

We study a two-state quantum system with a nonlinearity intended to describe interactions with a complex environment, arising through a nonlocal coupling term. We study the stability of particular solutions, obtained as constrained extrema of the energy functional of the system. The simplicity of the model allows us to justify a complete stability analysis. This is the opportunity to review in detail the techniques to investigate the stability issue. We also bring out the limitations of perturbative approaches based on simpler asymptotic models.

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来源期刊

Annales Henri Poincaré 物理-物理：粒子与场物理

CiteScore

3.00

自引率

6.70%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The two journals Annales de l''Institut Henri Poincaré, physique théorique and Helvetica Physical Acta merged into a single new journal under the name Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics edited jointly by the Institut Henri Poincaré and by the Swiss Physical Society. The goal of the journal is to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers meeting the highest professional standards in the field. The emphasis will be on analytical theoretical and mathematical physics in a broad sense.