String order and hidden topological symmetry in the SO(2n+1) symmetric matrix product states

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dc.creatorTu, Hong-Hao
dc.creatorZhang, Guang-Ming
dc.creatorXiang, Tao
dc.date2008-04-10
dc.date2008-09-17
dc.date.accessioned2026-07-07T10:03:08Z
dc.date.available2026-07-07T10:03:08Z
dc.descriptionWe have introduced a class of exactly soluble Hamiltonian with either SO(2n+1) or SU(2) symmetry, whose ground states are the SO(2n+1) symmetric matrix product states. The hidden topological order in these states can be fully identified and characterized by a set of nonlocal string order parameters. The Hamiltonian possesses a hidden $(Z_{2}\times Z_{2})^{n} $ topological symmetry. The breaking of this hidden symmetry leads to $4^{n}$ degenerate ground states with disentangled edge states in an open chain system. Such matrix product states can be regarded as cluster states, applicable to measurement-based quantum computation.
dc.description5 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0804.1685
dc.identifierhttp://arxiv.org/abs/0804.1685
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 415201
dc.identifierdoi:10.1088/1751-8113/41/41/415201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169174
dc.subjectStrongly Correlated Electrons
dc.titleString order and hidden topological symmetry in the SO(2n+1) symmetric matrix product states
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