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Quantum deformed Ri...
Quantum deformed Richardson-Gaudin model
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- Johannesson, Henrik, 1953 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för fysik (GU),Department of Physics (GU)
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- Stolin, Alexander, 1953 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics
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Kulish, Petr (författare)
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(creator_code:org_t)
- ISBN 9781934142264
- 2013
- 2013
- Engelska.
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Ingår i: Progress in Electromagnetics Research Symposium, PIERS 2013 Stockholm. - 1559-9450. - 9781934142264 ; , s. 789-793
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Nyckelord
- Eigenstates
- Nilpotent
- Pairing correlations
- Quantum groups
- Integrability
- Inverse scattering methods
- Integrals of motion
- Finite chains
- Eigenstates; Finite chains; Integrability; Integrals of motion; Inverse scattering methods; Nilpotent; Pairing correlations; Quantum groups
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- ref (ämneskategori)
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