Entanglement Generation in Coupled Bipartite Systems

量子系统中的纠缠对量子态的复杂性起着重要的作用，可以用来检测多体系统中的不同相位。在这个项目中，我们想要详细地了解在有和没有经典极限的少粒子系统中纠缠的产生。我们的中心方法是从具有已知性质的两个系统开始，使它们相互作用，然后建立耦合系统的普遍性质。特别是，我们想要研究耦合的二体针链依赖于耦合的强度和类型，并使用适当的随机矩阵模型解析地描述二体和多体纠缠的普遍方面。对于具有经典极限的量子系统，例如Bose-Hubbard模型，一个基本的问题是纠缠的产生如何依赖于相应的经典极限。特别是在规则运动和混沌运动共存的混合相空间的情况下，纠缠的产生将受到很大的影响，这在实验上也应该是可以观察到的。

Entanglement in quantum systems plays an important role for quantifying the complexity of states and allows for detecting different phases in many-body systems. In this project we want to obtain a detailed understanding of entanglement generation in systems with few particles with and without a classical limit. Our central approach is to start from two systems with known properties, bring them into interaction and then establish universal properties of the coupled system. In particular we want to investigate coupled bipartitespin-chains in dependence on both the strength and the type of the coupling and describe universal aspects of both bipartite and multipartite entanglement analytically using appropriate random matrix models.For quantum systems with classical limit, such as the Bose-Hubbard model, a fundamental question is how the entanglement generation depends on the corresponding classical limit. Especially the case of a mixed phase space, where regular and chaotic motion coexist, is expected to significantly impact the entanglement generation, which should also be observable in experiments.