Deformed Richardson-Gaudin model
Paper i proceeding, 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.


Petr Kulish

Russian Academy of Sciences

Alexander Stolin

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Henrik Johannesson

Göteborgs universitet

Journal of Physics: Conference Series

17426588 (ISSN) 17426596 (eISSN)

Vol. 532 1 012012

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