Exact Numerical Solution of the BCS Pairing Problem

Feng Xu; An Min Wang; Xiaodong Yang; Hao You; Xiaosan Ma

doi:10.1088/6102/44/1/171

Exact Numerical Solution of the BCS Pairing Problem

量子物理 2015-06-26 v3 超导电性

作者: Feng Xu , An Min Wang , Xiaodong Yang , Hao You , Xiaosan Ma

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摘要

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 2^{N}-dimension matrix is reduced to the polynomial problem of N-dimension matrix. It is essential to validate this method on a real quantum

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computational physics painlevé equations and orthogonal polynomials partial differential equations

引用

@article{arxiv.quant-ph/0407100,
  title  = {Exact Numerical Solution of the BCS Pairing Problem},
  author = {Feng Xu and An Min Wang and Xiaodong Yang and Hao You and Xiaosan Ma},
  journal= {arXiv preprint arXiv:quant-ph/0407100},
  year   = {2015}
}

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7 pages, 3 figures

Exact Numerical Solution of the BCS Pairing Problem

摘要

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