AI 中文总结
该研究针对耦合超导与铁磁引线的单量子点系统，采用含时数值重整化群技术分析其非平衡动力学，揭示了相关关联间的非平凡竞争，加深了对纳米级混合系统动力学的理解。
AI 中文摘要
我们从理论上研究耦合至铁磁与超导电极的单量子点系统的非平衡动力学。为探究其时间演化，我们采用含时数值重整化群技术，该方法以完全非微扰方式捕捉系统对参数突变的响应。我们的分析聚焦于引线耦合突变或轨道能级偏移后的动力学，尤其计算了诱导局域超导配对关联与磁化的时间演化，同时考察了相关能谱。此外，我们研究了Loschmidt回波与返回函数的行为，以阐明动力学量子相变的特征。所确定的依赖关系揭示了超导配对与铁磁接触诱导交换场等相关关联间的非平凡竞争，加深了我们对纳米级混合系统动力学行为的理解。
英文摘要
We theoretically explore the non-equilibrium dynamics of a single quantum dot system coupled to both ferromagnetic and superconducting electrodes. To investigate its time evolution, we utilize the time-dependent numerical renormalization group technique, which captures the system's response to abrupt parameter changes in a fully non-perturbative manner. Our analysis focuses on dynamics following a sudden modification in the couplings to the leads or a shift of the orbital level. In particular, we calculate the time evolution of the induced local superconducting pairing correlations and magnetization. In this context, the relevant energy spectra are examined. Moreover, we study the behavior of the Loschmidt echo and the return function to shed light on the signatures of dynamical quantum phase transitions. The determined dependencies reveal non-trivial competition between relevant correlations, involving superconducting pairing and ferromagnetic-contacted induced exchange field, and deepen our understanding of nanoscale hybrid systems' dynamical behavior.
