First-Principle Construction of U(1) Symmetric Matrix Product States
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The algorithm to calculate the sets of symmetry sectors for virtual indices of U(1) symmetric matrix product states (MPS) is described. The principal differences between open (OBC) and periodic (PBC) boundary conditions are stressed, and the extension of PBC MPS algorithm to projected entangled pair states is outlined.
KeywordsMatrix product states U(1) symmetry Open boundary conditions
Useful discussions with Ian P. McCulloch are highly appreciated. The author also thanks Physikalisch-Technische Bundesanstalt (Braunschweig, Germany) for provision of Mathematica software during guest visits.