تقرير
Quantum metrology, criticality, and classical brachistochrone problem
| العنوان: | Quantum metrology, criticality, and classical brachistochrone problem |
|---|---|
| المؤلفون: | Zhang, Rui, Zhang, Zhucheng, Shao, Lei, Zhang, Yuyu, Wang, Xiaoguang |
| سنة النشر: | 2023 |
| المجموعة: | Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics |
| الوصف: | There has always been an ambiguous connection between quantum metrology and criticality. We clarify this relationship in a unitary parametrization process with a Hamiltonian governed by su(1,1) Lie algebra. Based on this type of Hamiltonian, we investigate the quantum Cram\'{e}r-Rao bound of the coupling strength in the quantum Rabi model close to the phase transition point. We show that the generator $\mathcal{H}$ in the unitary parametrization process can be treated as an extended brachistochrone problem on the $x-y$ plane and a linear function of time in the $z$ direction. In addition, we find that the value of quantum Fisher information is proportional to the sixth power of the evolution time when the system is close to the phase transition point. Comment: 5 pages, 3 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2303.10655 |
| رقم الأكسشن: | edsarx.2303.10655 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |