The XY spin chain and the topological basis realization

DOI10.1007/S10773-020-04582-2zbMath1451.82012OpenAlexW3082870534MaRDI QIDQ2208021

Yue Cao, Kang Xue, Gangcheng Wang, Feifei Wang, Chunfang Sun, Yizi Zhu

Publication date: 23 October 2020

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-020-04582-2

zbMATH Keywords

XY modeltopological basis statesTemperly-Lieb algebra

Mathematics Subject Classification ID

Topological field theories in quantum mechanics (81T45) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Cites Work

• Unnamed Item
• Wavefunctions for topological quantum registers
• Skein theory and topological quantum registers: Braiding matrices and topological entanglement entropy of non-Abelian quantum Hall states
• Quantum computation in quantum-Hall systems.
• Two soluble models of an antiferromagnetic chain
• Non-Abelian anyons and topological quantum computation
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

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