Applying matrix product operators to model systems with long-range interactions

Details Applying matrix product operators to model systems with long-range interactions Applying matrix product operators to model systems with long-range interactions

2008-04-16

arxiv.org/abs/0804.2504v2

Phys. Rev. B 78, 035116 (2008)

Physics

Condensed Matter

Other Condensed Matter

7 pages, 3 figures; manuscript has been expanded and restructured in order to improve presentation of the algorithm

Scientific paper

10.1103/PhysRevB.78.035116

An algorithm is presented which computes a translationally invariant matrix product state approximation of the ground state of an infinite 1D system; it does this by embedding sites into an approximation of the infinite ``environment'' of the chain, allowing the sites to relax, and then merging them with the environment in order to refine the approximation. By making use of matrix product operators, our approach is able to directly model any long-range interaction that can be systematically approximated by a series of decaying exponentials. We apply our techniques to compute the ground state of the Haldane-Shastry model and present results.

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