Translation invariant tensor product states in a finite lattice system

TL;DR

This paper presents a method to construct translation invariant tensor product states in finite lattice systems using local tensors derived from infinite systems, enabling efficient analysis of such states.

Contribution

It introduces two methods to determine size-independent local tensors from infinite lattice systems for finite translation invariant tensor product states.

Findings

Accurate construction of finite lattice tensor states from infinite systems.

Two novel methods for determining size-independent local tensors.

Abstract

We show that the matrix (or more generally tensor) product states in a finite translation invariant system can be accurately constructed from the same set of local matrices (or tensors) that are determined from an infinite lattice system in one or higher dimensions. This provides an efficient approach for studying translation invariant tensor product states in finite lattice systems. Two methods are introduced to determine these size-independent local tensors.