Matrix-product-based projected wave functions ansatz for quantum many-body ground states

Chung Pin Chou, Frank Pollmann, Ting Kuo Lee

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We introduce a projected wave function approach based on projection operators in the form of matrix-product operators (MPOs). Our approach allows us to variationally improve the short-range entanglement of a given trial wave function by optimizing the matrix elements of the MPOs while the long-range entanglement is contained in the initial guess of the wave function. The optimization is performed using standard variational Monte Carlo techniques. We demonstrate the efficiency of our approach by considering a one-dimensional model of interacting spinless fermions. In addition, we indicate how to generalize this approach to higher dimensions using projection operators which are based on tensor products.

Original languageEnglish
Article number041105
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume86
Issue number4
DOIs
StatePublished - 19 Jul 2012
Externally publishedYes

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