偶极两分量玻色爱因斯坦凝聚体中量子相变的普适临界动力学研究

原子玻色-爱因斯坦凝聚(BEC)体所具有的稳定量子相干性和高度可控性，为量子相变的临界动力学研究提供了一个新的实验平台。近年来，BEC体中量子相变的普适临界动力学已成为理论和实验研究超冷原子物理的热点与前沿。而偶极两分量BEC体中量子相变的非绝热动力学激发如何出现以及服从何种规律等问题尚不清楚，体系的普适临界动力学机制有待研究。课题组在研究了一维光晶格中两分量BEC体系发生对称性破缺相变的临界动力学的基础上，拟采用理论分析、解析计算与数值模拟相结合的方法，来研究连续、离散以及PT对称的偶极两分量BEC体中量子相变临界点附近的动力学标度、非绝热激发服从的规律和量子绝热演化与非绝热激发发生的机制。本课题的研究结果将为量子绝热理论、量子模拟与量子绝热计算提供一定的理论依据。

Due to the robust quantum coherence and the high controllability, atomic Bose-Einstein condensates (BECs) provides a new experimental plane for exploring the critical dynamics of quantum phase transitions. In recent years, universal critical dynamics for a quantum phase transition in BECs have become a hot topic and research front in studying ultracold atomic physics theoretically and experimentally. The rule and reason for the appearance of diabatic dynamical excitation in dipole two-component BECs are unclear, and there are more to discuss about the universal critical dynamic mechanism in this system. We have researched the critical dynamic for the symmetry breaking phase transition of two-component BECs in one-dimensional optical lattice. By using theoretical analysis, analytical computation and numerical simulation, we will study the dynamical scale, adiabatic-diabatic excitation mechanism near critical point of the quantum phase transition for the continuous, discrete and PT symmetry dipole two-component BECs. The research result will provide the theoretical guidance for quantum adiabatic theory, quantum simulation and quantum adiabatic computation.