Quantum deformed Richardson-Gaudin model
Paper in proceeding, 2013

The Richardson-Gaudin model describes strong pairing correlations of fermions confined to a finite chain. The integrability of the Hamiltonian allows for its eigenstates to be constructed algebraically. In this work, we show that 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.

Eigenstates

Nilpotent

Pairing correlations

Quantum groups

Integrability

Inverse scattering methods

Integrals of motion

Finite chains

Author

Henrik Johannesson

University of Gothenburg

Alexander Stolin

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Petr Kulish

Progress in Electromagnetics Research Symposium, PIERS 2013 Stockholm

1559-9450 (ISSN)

789-793
978-19-34-14226-4 (ISBN)

Subject Categories

Mathematics

Physical Sciences

ISBN

978-19-34-14226-4

More information

Created

10/8/2017