交错时序关联函数在探测铁磁旋量凝聚体激发态量子相变中的运用

摘要：

交错时序关联函数(out-of-timeorder correlator,OTOC)在表征量子混沌、量子信息置乱和动力学量子相变等有着广泛应用,将OTOC的应用于探测外磁场中F=1旋量玻色-爱因斯坦凝聚体的激发态量子相变,利用全量子方法、平均场理论和数值模拟,研究了激发态量子相变点以及系统在其附近的动力学性质,并证明了这些特征可以被OTOC探测到.进一步研究表明,在不同的磁化条件下也同样可以对相变点进行探测.结果为使用OTOC在旋量量子气体和其他量子多体系统中的激发态量子相变的实验探测提供了理论依据.

Out-of-time-order correlator (OTOC) is widely used in investigating quantum chaos, quantum information scrambling and dynamic quantum phase transition. We apply OTOC to detect the excited-quantum phase transition of F=1 spinor Bose- Einstein condensate in external magnetic feld. By using full quantum method, mean field theory and numerical simu-lation, we investigate the quantum phase transition points of excited-state and the dynamic properties of the system around them, and prove that these characteristics can be detected by OTOC. Our further results show that the phase transition point can also be detected under different magnetization conditions, Our results provide theoretical proposals for using OTOC to deteet the excited-quantum phase transition in spinor quantum gas and other quantum many-body systems experimentally.

作者:

赵俊杰,王琪,赵兴东,朱遵略,周鲁

Zhao Junjie, Wang Qi, Zhao Xingdong, Zhu Zunlue, Zhou Lu

机构地区：

华东师范大学物理与电子科学学院；河南师范大学物理学院

引用本文：

赵俊杰，赵兴东，王琪等。交错时序关联函数在探测铁磁旋量凝聚体激发态量子相变中的运用[J].河南师范大学学报(自然科学版),2026,54(1):99-106.(Zhao Junjie, Wang Qi,Zhao Xingdong,et al.Detecting excited-state quantum phase transition in a ferromagnetic spinor condensate by out-of-time-order correlator[J]. Journal of Henan Normal University(Natural Science Edition),2026,54(1):99-106.DOI:10.16366/j.cnki.,1000-2367.2024.04.16.0002.)

基金：

国家自然科学基金；河南省教育厅科学技术研究重点项目

关键词：

激发态量子相变；交错时序关联函数；旋量玻色-爱因斯坦凝聚体；量子传感技术

excited-state quantum phase transition; out-of-time-order correlator; spinor Bose-Einstein condensate; quan-tum sensing

分类号：

O413

交错时序关联函数在探测铁磁旋量凝聚体激发态量子相变中的运用.pdf