Exact solution at integrable coupling of a model for the Josephson effect between small metallic grains

Abstract

A model is introduced for two reduced BCS systems which are coupled through the transfer of Cooper pairs between the systems. The model may thus be used in the analysis of the Josephson effect arising from pair tunneling between two strongly coupled small metallic grains. At a particular coupling strength the model is integrable and explicit results are derived for the energy spectrum, conserved operators, integrals of motion, and wave function scalar products. It is also shown that form factors can be obtained for the calculation of correlation functions. Further, a connection with perturbed conformal field theory is made.

12 pages, latex, no figures

References in corpus (5)

• Spectroscopy of discrete energy levels in ultrasmall metallic grains
• A Class of Exactly Solvable Pairing Models
• Integrable model for interacting electrons in metallic grains
• Exact correlation functions of the BCS model in the canonical ensemble
• Correlation functions of the higher spin XXX chains

Cited by in corpus (3)

• Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose-Einstein condensates and metallic nanograins
• Exact mesoscopic correlation functions of the pairing model
• Relative Phase and Josephson Dynamics between Weakly Coupled Richardson Models