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A class of ansatz wave functions for 1D spin systems and their relation to DMRG

Stefan Rommer·Stellan Ostlund
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Abstract

We investigate the density matrix renormalization group (DMRG) discovered by White and show that in the case where the renormalization eventually converges to a fixed point the DMRG ground state can be simply written as a ``matrix product'' form. This ground state can also be rederived through a simple variational ansatz making no reference to the DMRG construction. We also show how to construct the ``matrix product'' states and how to calculate their properties, including the excitation spectrum. This paper provides details of many results announced in an earlier letter.

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Stefan Rommer, Stellan Ostlund. 1996-06-28. A class of ansatz wave functions for 1D spin systems and their relation to DMRG. https://doi.org/10.1103/physrevb.55.2164

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