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On Matrix Product States for Periodic Boundary Conditions | | Klaus Krebs
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27 Oct 1999 | | Subject: | cond-mat | | Abstract: | The possibility of a matrix product representation for eigenstates with energy and momentum zero of a general m-state quantum spin Hamiltonian with nearest neighbour interaction and periodic boundary condition is considered. The quadratic algebra used for this representation is generated by 2m operators which fulfil m^2 quadratic relations and is endowed with a trace. It is shown that {em not} every eigenstate with energy and momentum zero can be written as matrix product state. An explicit counter-example is given. This is in contrast to the case of open boundary conditions where every zero energy eigenstate can be written as a matrix product state using a Fock-like representation of the same quadratic algebra. | | Source: | arXiv, cond-mat/9910452 | | Services: | Forum | Review | PDF | Favorites | |
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