超导量子比特与谐振腔的耦合强度在实验上不仅超越超强耦合区，而且最近已经进入全新的深度强耦合区，将推进理论和实验物理，量子信息应用多学科交互发展。本项目致力于发展没有近似的理论方法，在数值上乃至解析上精确求解非平庸的多个量子比特和谐振腔耦合系统的所有本征态和本征能量。在这些精确结果的基础上，着重开展真实多体纠缠演化和淬火动力学的研究，力争解释已有的实验，探索提高多体纠缠作为一种新的量子信息资源的优势的可能途径，论证这类缺乏空间自由度的量子多体系统是否具有Kibble-Zurek机制预言的动力学普适标度行为， 并预计新的物理现象。本项目的研究内容既是当前量子信息和凝聚态物理的重要基础问题，又与量子计算和量子信息的应用紧密相关，因而有助于构建基础物理和技术应用的交互作用的密切联系。

The coupling strength of the superconducting qubits and resonators has not only exceeded the ultra-strong coupling regime, but also entered the totally new deep-strong coupling regime most recently in experiments. These advances on the experimental side must inspire interdisciplinary interplay developments in theoretical and experimental physics, and quantum information applications. In this project, we will develop some theoretical methods which are free from approximations, and give all exact eigenstates and eigenvalues to the nontrivial multi-qubit and resonators coupling system numerically and even analytically. Based on these exact results, we focus on the study of the genuine multipartite entanglement (GME) evolution and the quench dynamics. Then we hope to explain the existing experimental results, explore the possible paths to increase the advantage of GME serving as a new quantum information resource, demonstrate whether the universal dynamic scaling predicted by Kibble-Zurek mechanism holds for such quantum many-body systems without the spatial degrees of freedom, and predict some new experimental phenomena. The proposal in the present research project is very fundamental in both quantum information and condensed matter physics, and is also closely related to the applications of quantum computation and quantum information, therefore is helpful to form the connecting link in the interplay of fundamental physics and technological applications.