多模量玻色系统中的量子例外、绝热及混合点：I. 继承与真实体现
量子物理
2025-12-16 v3
摘要
分析了由最多五个模式组成的简单玻色系统（含耗散和/或放大）的量子例外、绝热及混合（即绝热退化例外）奇点的存在性与退化。通过 Heisenberg-Langevin 方程跟随其动力学。其动力学矩阵通常具有特定结构，允许将其维数缩减一半，从而实现解析处理并基于特征二阶绝热退化进行有效的谱分析。揭示了继承量子混合点的条件，这些点可直接在场算子动力学中观察到，具有最高三阶例外和二阶绝热退化。令人惊讶的是，即使考虑了最多五个模式的系统，仅发现二、三阶的例外退化。也分析了在场算子矩的二阶动力学中观察到的例外与绝热真实体现及其退化。每个分析的玻色系统都呈现出独特且复杂的动力学行为。
引用
@article{arxiv.2405.01666,
title = {Multiple quantum exceptional, diabolical, and hybrid points in multimode bosonic systems: I. Inherited and genuine singularities},
author = {Kishore Thapliyal and Jan Peřina and Grzegorz Chimczak and Anna Kowalewska-Kudłaszyk and Adam Miranowicz},
journal= {arXiv preprint arXiv:2405.01666},
year = {2025}
}
备注
Inherited EPs up to third-order singularities are observed in the bosonic systems with the usual (bidirectional) coupling. In the following paper "Quantum 9, 1933 (2025)", the investigation are further extended to other bosonic systems. Version published in Quantum