Deformed Richardson-Gaudin model
Paper in 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, Mathematical Sciences, Mathematics

University of Gothenburg

Henrik Johannesson

University of Gothenburg

Journal of Physics: Conference Series

17426588 (ISSN) 17426596 (eISSN)

Vol. 532 1 012012

6th ECM Satellite QQQ Conference 3Quantum: Algebra Geometry Information, QQQ Conference 2012
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Physical Sciences



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