A classification of spin 1/2 matrix product states with two dimensional auxiliary matrices

Details A classification of spin 1/2 matrix product states with two dimensional auxiliary matrices A classification of spin 1/2 matrix product states with two dimensional auxiliary matrices

2010-07-30

arxiv.org/abs/1007.5390v1

Physica A; 389, 8, (2010),1555-1564

Physics

Quantum Physics

17 pages, 3 figures

Scientific paper

e classify the matrix product states having only spin-flip and parity symmetries, which can be constructed from two dimensional auxiliary matrices. We show that there are three distinct classes of such states and in each case, we determine the parent Hamiltonian and the points of possible quantum phase transitions. For two of the models, the interactions are three-body and for one the interaction is two-body

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