Exact Numerical Solution of the BCS Pairing Problem

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

7 pages, 3 figures

References in corpus (6)

• Information and Computation: Classical and Quantum Aspects
• Spectroscopy of discrete energy levels in ultrasmall metallic grains
• Polynomial-Time Simulation of Pairing Models on a Quantum Computer
• NMR Simulation of an Eight-State Quantum System
• Comment on ``Polynomial-Time Simulation of Pairing Models on a Quantum Computer''
• Reply to: ``Comment on `Polynomial-Time Simulation of Pairing Models on a Quantum Computer'''

Cited by in corpus (3)

• Proposal of Quantum Simulation of Pairing Model on an NMR Quantum Computer
• Direct diagonalization of Fock space for an exact solution of pairing model
• The energy spectrum symmetry of Heisenberg model in Fock space