Classical simulation of infinite-size quantum lattice systems in one spatial dimension

TL;DR

This paper presents a method to efficiently simulate infinite one-dimensional quantum lattice systems by exploiting translational invariance, enabling accurate ground state and time evolution computations.

Contribution

It introduces a novel approach leveraging translation invariance for simulating infinite quantum systems in one dimension.

Findings

Efficient simulation of ground states in infinite 1D quantum lattices.

Accurate time evolution modeling for infinite systems.

Reduction of computational complexity through invariance exploitation.

Abstract

Invariance under translation is exploited to efficiently simulate one-dimensional quantum lattice systems in the limit of an infinite lattice. Both the computation of the ground state and the simulation of time evolution are considered.