Exact Ground States of One-Dimensional Quantum Systems: Matrix Product Approach

TL;DR

This paper employs the matrix-product ground state approach to exactly solve several one-dimensional quantum systems, providing explicit correlation functions and insights into their ground state properties.

Contribution

It introduces an exact solution method for multiple 1D quantum models using matrix-product states, expanding analytical understanding of their ground states.

Findings

Exact solutions for several 1D quantum models

Explicit calculation of ground state correlation functions

Discussion of relevant physical results

Abstract

By using the so-called matrix-product ground state approach, a few one-dimensional quantum systems, including a frustrated spin-1/2 Heisenberg ladder, the ferromagnetic t-J-V model at half-filling, the antiferromagnetic $J_z-V$ at 2/3 filling and the antiferromagnetic $t-J_z-V$ model at half-filling, are solved exactly. The correlation functions in the ground states are calculated respectively. Some relevant results are also discussed.