| 1. |
- Johannesson, Henrik, 1953, et al.
(author)
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Quantum deformed Richardson-Gaudin model
- 2013
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In: Progress in Electromagnetics Research Symposium, PIERS 2013 Stockholm. - 1559-9450. - 9781934142264 ; , s. 789-793
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Conference paper (peer-reviewed)abstract
- 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.
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| 2. |
- Kulish, Petr, et al.
(author)
-
Bethe ansatz for the deformed Gaudin model
- 2010
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In: Proceedings of the Estonian Academy of Sciences. - : Estonian Academy Publishers. - 1736-6046 .- 1736-7530. ; 59:4, s. 326-331
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Journal article (peer-reviewed)
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| 3. |
- Kulish, Petr, et al.
(author)
-
Deformed Richardson-Gaudin model
- 2014
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In: Journal of Physics, Conference Series. - : IOP Publishing. - 1742-6588 .- 1742-6596. ; 532
-
Journal article (peer-reviewed)abstract
- 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.
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| 4. |
- Kulish, Petr P., et al.
(author)
-
Deformed Yangians and integrable models
- 1997
-
In: Czechoslovak Journal of Physics. - 0011-4626. ; 47:12, s. 1207-1212
-
Journal article (peer-reviewed)abstract
- Twisted Hopf algebra slξ(2) gives rise to a deformation of the Yangian y(sl(2)). The corresponding deformations of the integrable XXX-spin chain and the Gaudin model are discussed.
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| 5. |
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