We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
The quantum spin chains of Temperley-Lieb type and the topological basis states.
- Authors
Sun, Chunfang; Xue, Kang; Wang, Gangcheng; Zhou, Chengcheng; Du, Guijiao
- Abstract
In this paper, based on the usual spin basis, we present a complete orthonormal basis with the single loop $$d=\sqrt{2}$$ consisting of maximally entangled four-qubit states. Then we investigate the particular physical properties of the topological basis states in the corresponding quantum spin chains of Temperley-Lieb type. Whether the system is the anti-ferromagnetic case or the ferromagnetic case, the ground states are all doubly degenerate, and they all fall on the topological basis states. Furthermore, we introduce the Yangian $$Y(sl(2))$$ operators to investigate the transitions between the quantum states.
- Subjects
QUANTUM spin models; TOPOLOGY; ORTHONORMAL basis; LINEAR algebra; FERROMAGNETISM; QUANTUM states
- Publication
Quantum Information Processing, 2013, Vol 12, Issue 9, p3079
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-013-0542-8