Tuesday, April 23, 2013

1304.5818 (Jon Links et al.)

BCS model with asymmetric pair scattering: a non-Hermitian, exactly
solvable Hamiltonian exhibiting generalised exclusion statistics

Jon Links, Amir Moghaddam, Yao-Zhong Zhang
We demonstrate the occurrence of free quasi-particle excitations obeying generalised exclusion statistics in a BCS model with asymmetric pair scattering. The results are derived from an exact solution of the Hamiltonian, which was obtained via the algebraic Bethe ansatz utilising the representation theory of an underlying Yangian algebra. The free quasi-particle excitations are associated to highest-weight states of the Yangian algebra, corresponding to a class of analytic solutions of the Bethe ansatz equations.
View original: http://arxiv.org/abs/1304.5818

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