aubry - andr - harper动力学的相空间量子畸变稳定性模式

IF 2.7 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2025-05-06 DOI:10.1016/j.physd.2025.134700

A.E. Bernardini , O. Bertolami

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引用次数: 0

摘要

研究了由aubry - andr - harper （AAH）哈密顿算子驱动的高斯系综的Weyl-Wigner （WW）量子相空间描述所产生的拓扑量子域的不稳定性特征。然后根据相关的（非线性）AAH哈密顿参数对双曲平衡和稳定模式进行识别和分类。除了提供量化AAH系统信息内容的工具外，本文讨论的Wigner流模式还提出了一种识别量子涨落在平衡和稳定性中的作用的系统程序，该框架可以直接扩展到描述类似/修改的AAH系统的演化。

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Phase-space quantum distorted stability pattern for Aubry–André–Harper dynamics

Instability features associated to topological quantum domains which emerge from the Weyl–Wigner (WW) quantum phase-space description of Gaussian ensembles driven by Aubry–André–Harper (AAH) Hamiltonians are investigated. Hyperbolic equilibrium and stability patterns are then identified and classified according to the associated (nonlinear) AAH Hamiltonian parameters. Besides providing the tools for quantifying the information content of AAH systems, the Wigner flow patterns here discussed suggest a systematic procedure for identifying the role of quantum fluctuations over equilibrium and stability, in a framework which can be straightforwardly extended to describe the evolution of similar/modified AAH systems.

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来源期刊

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.