多体系统量子态的动力学探测制备研究

Quantum many-body state is the complete description of quantum matter and its rich features have potential applications in quantum engineering. Dynamical detection and preparation of many-body quantum state aim to extract features of matter at zero-temperature and prepare the target states by time evolution procedures. The theoretical investigation and experimental realization of this task is the fundamental issue for the design quantum device and quantum computation. It is also a fertile ground in searching new quantum phenomenon and developing quantum theory. The dynamical process in this project involves adiabatic process and quench method. We focus on the global property and long-range correlation of quantum states, such as topological invariants and long-range entanglement. The target states are many-body entangled state and the desired device is unidirectional transmission network. Our project will not only deepen our understanding of many-body system, but also connect the research to the basic concepts of quantum physics, non-Hermitian quantum mechanics, and condensed matter physics, which include the topology of matter, quantum phase transition, topological gapless state, and related dynamics.

多体系统量子态一方面承载着量子物质的性质同时其丰富的特性在量子工程方面具有潜在的应用前景。本项目拟通过动力学过程将隐含的静态量子态的特性体现出来，把可利用的资源量子态制备出来。该领域的理论研究和实验实现是当前量子器件实用化和量子计算物理实现的关键问题，同时也是发展量子力学、凝聚态物理和发现各种新奇量子效应的平台。本项目拟采用的动力学过程包括准绝热演化和淬火自然演化过程，所关注的量子态的特性主要涉及整体和长程关联性质，如拓扑性和长程纠缠。量子态的制备主要着重于多体纠缠态和单向性量子态的量子器件。本项目的研究工作即可以加深和澄清人们对于多体量子态的认识和理解，还有可能通过具体的模型和动力学过程，把对多体量子态的认识与量子计算、非厄米量子力学和凝聚态物理中的研究热点结合起来，这些热点包括量子态的拓扑性、量子相变、拓扑无能隙态及其相关动力学过程等。

本项目是关于多体系统量子态的动力学研究。我们的目标是在深入理解量子相变(QPT)和非厄米量子力学的基础上，提出量子态的制备、基态相图和拓扑指数的动力学探测方案。具体来讲，针对具体的模型我们揭示了基态和激发态之间的密切联系，从而发现了QPT动力学体现。我们还设计了各种体系来制备一些非平庸的目标量子态，如拓扑绝缘态、eta对态和自旋螺旋态。我们还研究了Zak相位和Chern数的动态检测。现在这个项目已经圆满完成了。执行期间在PRL, PRB, PRA等刊物共发表学术论文55篇(基金标注)，其中属于SCI收录论文55篇。

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