Deformed Richardson-Gaudin model
Artikel i vetenskaplig tidskrift, 2014

The Richardson-Gaudin model describes strong pairing correlations of fermions confined to a finite chain. The integrability of the Hamiltonian allows the algebraic construction of its eigenstates. In this work we show that the quantum group theory provides a possibility to deform the Hamiltonian preserving integrability. More precisely, we use the so-called Jordanian r-matrix to deform the Hamiltonian of the Richardson-Gaudin model. In order to preserve its integrability, we need to insert a special nilpotent term into the auxiliary L-operator which generates integrals of motion of the system. Moreover, the quantum inverse scattering method enables us to construct the exact eigenstates of the deformed Hamiltonian. These states have a highly complex entanglement structure which require further investigation.

Författare

Petr Kulish

Alexander Stolin

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Henrik Johannesson

Göteborgs universitet

Journal of Physics: Conference Series

1742-6588 (ISSN)

Vol. 532 012012-

Ämneskategorier

Fysik

DOI

10.1088/1742-6596/532/1/012012