Exact mesoscopic correlation functions of the pairing model

Abstract

We study the static correlation functions of the Richardson pairing model (also known as the reduced or discrete-state BCS model) in the canonical ensemble. Making use of the Algebraic Bethe Ansatz formalism, we obtain exact expressions which are easily evaluated numerically for any value of the pairing strength up to large numbers of particles. We provide explicit results at half-filling and extensively discuss their finite-size scaling behavior.

15 Pages, 12 figures

References in corpus (6)

• Dynamical density-density correlations in the one-dimensional Bose gas
• Exact Solution of the Isovector Proton Neutron Pairing Hamiltonian
• Thermodynamics of pairing in mesoscopic systems
• Solving the Richardson equations close to the critical points
• Exact solution of the spin-isospin proton-neutron pairing Hamiltonian
• Analysis of the Strong Coupling Limit of the Richardson Hamiltonian using the Dyson Mapping

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