Exact Numerical Solution of the BCS Pairing Problem

Details Exact Numerical Solution of the BCS Pairing Problem Exact Numerical Solution of the BCS Pairing Problem

2004-07-14

arxiv.org/abs/quant-ph/0407100v3

Physics

Quantum Physics

7 pages, 3 figures

Scientific paper

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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