Unexpected systematic degeneracy in a system of two coupled Gaudin models with homogeneous couplings

Erbe, B. and Schliemann, J. (2010) Unexpected systematic degeneracy in a system of two coupled Gaudin models with homogeneous couplings. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 43 (49): 492002. ISSN 1751-8113,

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Abstract

We report an unexpected systematic degeneracy between different multiplets in an inversion symmetric system of two coupled Gaudin models with homogeneous couplings, as occurring for example in the context of solid state quantum information processing. We construct the full degenerate subspace (being of macroscopic dimension), which turns out to lie in the kernel of the commutator between the two Gaudin models and the coupling term. Finally we investigate to what extent the degeneracy is related to the inversion symmetry of the system and find that indeed there is a large class of systems showing the same type of degeneracy.

Item Type: Article
Uncontrolled Keywords: QUANTUM DOTS; COHERENT DYNAMICS; ELECTRON-SPIN; SPECTRUM;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group John Schliemann
Depositing User: Dr. Gernot Deinzer
Date Deposited: 06 Jul 2020 06:05
Last Modified: 06 Jul 2020 06:05
URI: https://pred.uni-regensburg.de/id/eprint/23741

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