dorsal/arxiv
View SchemaExact Numerical Solution of the BCS Pairing Problem
| Authors | Feng Xu, An Min Wang, Xiaodong Yang, Hao You, Xiaosan Ma |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407100 |
| URL | https://arxiv.org/abs/quant-ph/0407100 |
| DOI | 10.1088/6102/44/1/171 |
Abstract
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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"abstract": "We propose a new simulation computational method to solve the reduced BCS\nHamiltonian based on spin analogy and submatrix diagonalization. Then we\nfurther apply this method to solve superconducting energy gap and the results\nare well consistent with those obtained by Bogoliubov transformation method.\nThe exponential problem of 2^{N}-dimension matrix is reduced to the polynomial\nproblem of N-dimension matrix. It is essential to validate this method on a\nreal quantum",
"arxiv_id": "quant-ph/0407100",
"authors": [
"Feng Xu",
"An Min Wang",
"Xiaodong Yang",
"Hao You",
"Xiaosan Ma"
],
"categories": [
"quant-ph",
"cond-mat.supr-con"
],
"doi": "10.1088/6102/44/1/171",
"title": "Exact Numerical Solution of the BCS Pairing Problem",
"url": "https://arxiv.org/abs/quant-ph/0407100"
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