论文标题
扩展Dicke模型中的量子混乱
Quantum Chaos in the Extended Dicke Model
论文作者
论文摘要
我们系统地研究了一个量子多体系统中的混沌特征，该系统由相互作用的两级原子组成，并耦合到单模骨磁场，即所谓的扩展Dicke模型。原子原子相互作用的存在也使我们探索原子相互作用如何影响模型的混乱特征。通过分析能谱统计和本征态的结构，我们揭示了模型中混乱的量子特征，并讨论了原子相互作用的效果。我们还研究了从基于特征值和基于本征态的指标对原子相互作用中提取的混乱的边界的依赖性。我们表明，原子相互作用对光谱统计的影响要比本征态结构强。在定性上，当dicke模型中发现的集成性到chaos转变会在扩展的dicke模型中打开时会放大。
We systematically study the chaotic signatures in a quantum many-body system consisting of an ensemble of interacting two-level atoms coupled to a single-mode bosonic field, the so-called extended Dicke model. The presence of the atom-atom interaction also leads us to explore how the atomic interaction affects the chaotic characters of the model. By analyzing the energy spectral statistics and the structure of eigenstates, we reveal the quantum signatures of chaos in the model and discuss the effect of the atomic interaction. We also investigate the dependence of the boundary of chaos extracted from both eigenvalue-based and eigenstate-based indicators on the atomic interaction. We show that the impact of the atomic interaction on the spectral statistics is stronger than on the structure of eigenstates. Qualitatively, the integrablity-to-chaos transition found in the Dicke model is amplified when the interatomic interaction in the extended Dicke model is switched on.
