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We discuss how to analytically obtain an -- essentially infinite -- Matrix Product State (MPS) representation of the ground state of the XY model.
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To be precise, for periodic boundary conditions one has to separately consider subspaces with even and odd parity (see [ 16 ] for details). This however does not affect any of our conclusions. We also note that in the context of the classical 2D Ising model [ 16 , 22 ] it is more convenient to work with a transfer matrix of the form V 2 1 / 2 V 1 V 2 1 / 2 V_{2}^{1/2}V_{1}V_{2}^{1/2} , while in our case Eq. ( 2
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For clarity we neglect the – in this case irrelevant – normalization factors throughout the article and reintroduce them only when necessary
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J. Haegeman, C. Lubich, I. Oseledets, B. Vandereycken, and F. Verstraete, arXiv:1408.5056 (2014)
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