Quantum deformed Richardson-Gaudin model
Paper i 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

Författare

Henrik Johannesson

Göteborgs universitet

Alexander Stolin

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Petr Kulish

Progress in Electromagnetics Research Symposium, PIERS 2013 Stockholm

1559-9450 (ISSN)

789-793

Ämneskategorier

Matematik

Fysik

ISBN

978-19-34-14226-4

Mer information

Skapat

2017-10-08