The Wilczek–Zee connection(WZC)is a key concept in the study of topology of quantum systems.Here,we introduce the double Wilczek–Zee connection(DWZC)which naturally appears in the pure-state quantum geometric tensor...The Wilczek–Zee connection(WZC)is a key concept in the study of topology of quantum systems.Here,we introduce the double Wilczek–Zee connection(DWZC)which naturally appears in the pure-state quantum geometric tensor(QGT),another important concept in the field of quantum geometry.The DWZC is Hermitian with respect to the two integer indices,just like the original Hermitian WZC.Based on the symmetric logarithmic derivative operator,we propose a mixed-state quantum geometric tensor.Using the symmetric properties of the DWZC,we find that the real part of the QGT is connected to the real part of the DWZC and the square of eigenvalue differences of the density matrix,whereas the imaginary part can be given in terms of the imaginary part of the DWZC and the cube of the eigenvalue differences.For density matrices with full rank or no full rank,the QGT can be given in terms of real and imaginary parts of the DWZC.展开更多
1故障现象Siemens Artis Zee系列数字减影血管造影系统(digital subtraction angiography,DSA)在使用过程中,不能进行摄影采集,只能进行X线透视。同时,检查室内参考图像显示屏底侧区域的信息栏显示“Bypass”,控制室内实时图像显示屏右...1故障现象Siemens Artis Zee系列数字减影血管造影系统(digital subtraction angiography,DSA)在使用过程中,不能进行摄影采集,只能进行X线透视。同时,检查室内参考图像显示屏底侧区域的信息栏显示“Bypass”,控制室内实时图像显示屏右侧区域的各个曝光参数变灰,且不能被修改。展开更多
基金Project supported by Quantum Science and Technology–National Science and Technology Major Project(Grant No.2024ZD0301000)the National Natural Science Foundation of China(Grant No.12305031)+1 种基金the Hangzhou Joint Fund of the Natural Science Foundation of Zhejiang Province,China(Grant No.LHZSD24A050001)the Science Foundation of Zhejiang Sci-Tech University(Grant Nos.23062088Y and 23062153-Y)。
文摘The Wilczek–Zee connection(WZC)is a key concept in the study of topology of quantum systems.Here,we introduce the double Wilczek–Zee connection(DWZC)which naturally appears in the pure-state quantum geometric tensor(QGT),another important concept in the field of quantum geometry.The DWZC is Hermitian with respect to the two integer indices,just like the original Hermitian WZC.Based on the symmetric logarithmic derivative operator,we propose a mixed-state quantum geometric tensor.Using the symmetric properties of the DWZC,we find that the real part of the QGT is connected to the real part of the DWZC and the square of eigenvalue differences of the density matrix,whereas the imaginary part can be given in terms of the imaginary part of the DWZC and the cube of the eigenvalue differences.For density matrices with full rank or no full rank,the QGT can be given in terms of real and imaginary parts of the DWZC.
文摘1故障现象Siemens Artis Zee系列数字减影血管造影系统(digital subtraction angiography,DSA)在使用过程中,不能进行摄影采集,只能进行X线透视。同时,检查室内参考图像显示屏底侧区域的信息栏显示“Bypass”,控制室内实时图像显示屏右侧区域的各个曝光参数变灰,且不能被修改。
