Deformed Richardson-Gaudin model

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.

Stolin, Alexander,1953Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg(Swepub:cth)astolin (author)
Johannesson, Henrik,1953Gothenburg University,Göteborgs universitet,Institutionen för fysik (GU),Department of Physics (GU),University of Gothenburg(Swepub:gu)xjohen (author)
Russian Academy of SciencesInstitutionen för matematiska vetenskaper, matematik (creator_code:org_t)

By the author/editor: Kulish, Petr; Stolin, Alexande ...; Johannesson, Hen ...

About the subject

By the university: University of Gothenburg; Chalmers University of Technology

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