We reinvestigate the fidelity based on Hilbert-Schmidt inner product and give a simplified form.The geometric meaning of the fidelity is clarified.We then give the analytic expression of the fidelity susceptibility in...We reinvestigate the fidelity based on Hilbert-Schmidt inner product and give a simplified form.The geometric meaning of the fidelity is clarified.We then give the analytic expression of the fidelity susceptibility in both Hilbert and Liouville space.By using the reconstruction of symmetric logarithmic derivative in Liouville space,we present the time derivative of fidelity susceptibility with the normalized density vector representation.展开更多
基金supported by the National Fundamental Research Program of China (GrantNo. 2012CB921602)the National Natural Science Foundation of China(Grant Nos. 11025527 and 10935010)
文摘We reinvestigate the fidelity based on Hilbert-Schmidt inner product and give a simplified form.The geometric meaning of the fidelity is clarified.We then give the analytic expression of the fidelity susceptibility in both Hilbert and Liouville space.By using the reconstruction of symmetric logarithmic derivative in Liouville space,we present the time derivative of fidelity susceptibility with the normalized density vector representation.