Numerical Simulation Solution of the BCS Pairing Problem
Numerical Simulation Solution of the BCS Pairing Problem
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DOI：
10.1088/6102/44/1/171
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发表时间：
2004-07
影响因子：
3.1
通讯作者：
Feng Xu;An-Min Wang;Xiaodong Yang;H. You
中科院分区：
文献类型：
--
作者：
Feng Xu;An-Min Wang;Xiaodong Yang;H. You
提出了一种基于自旋类比和子矩阵对角化的BCS约化哈密顿量的模拟计算方法。然后将此方法应用于超导能隙的求解，得到的结果与Bogoliubov变换法的结果一致。将2N维矩阵的指数问题归结为N维矩阵的多项式问题。在真实的量子计算机上验证该方法是必要的，有助于理解多体量子理论。
We propose a new simulation computational method to solve the reduced BCS Hamiltonian based on spin analogy and submatrix diagonalization. Then we further apply this method to solve superconducting energy gap and the results are well consistent with those obtained by Bogoliubov transformation method. The exponential problem of 2N-dimensional matrix is reduced to the polynomial problem of N-dimensional matrix. It is essential to validate this method on a real quantum computer and is helpful to understanding the many-body quantum theory.