本项目旨在通过全息原理研究量子多体系统中混沌的性质，以期推动对黑洞视界及信息丢失等问题的理解，以及为理解强耦合量子多体系统提供新的视角和方法。我们首先研究经典弦、D粒子及D膜的近视界混沌动力学行为，以期提供量子混沌、黑洞视界及量子场论更深刻的联系。进一步，利用全息对偶理论，研究非相干奇异金属的输运性质和量子混沌关系，提供更严格的关于输运性质及量子混沌之间关系的确界。研究非混沌量子多体系统非时序关联函数，理解全息对偶共形场论中量子混沌的衍生问题。建议用非时序关联函数密度对量子混沌进行分类，并发展其全息计算方法。

This project aims to study the chaotic behavior in quantum many body systems by holographic principle, so that some deep understanding on the black hole horizon as well as the information loss of black hole can be achieved, and new insights and methods for understanding strongly coupled quantum many body systems are developed. First we study the chaotic dynamics of classical string, D-particles and D-branes near black hole horizon, which are expected to provide deeper relations among quantum chaos, black hole horizon and the dual boundary field theory. Furthermore, we study the relation between the transports of the incoherent strange metal and quantum chaos, which is expected to provide more rigorous bound on this relation. Also, we study the out-of-time-correlation function of non-chaotic quantum many body system to understand the emergence of quantum chaos in holographic dual conformal field theory. Finally, we propose that the quantum chaos can be classified in terms of the out-of-time-correlation function density and develop the holographic computational methods for the out-of-time-correlation function density.