# Parallel implementation of the time-evolving block decimation algorithm for the Bose–Hubbard model

## Description

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018) Abstract A system of ultracold atoms in an optical lattice represents a powerful experimental setup for testing the fundamentals of quantum mechanics. While its microscopic interaction mechanisms are well understood, the system behavior for a moderate number of particles is difficult to simulate due to a high dimension of its many-body space. This article presents TEBDOL, a parallel implementation of the time-evolving block decimation (TEBD) algorithm that can efficiently simulate time evolution of a ... Title of program: TEBDOL Catalogue Id: AEYN_v1_0 Nature of problem A system of neutral atoms in an optical lattice is a many-body quantum system that can be described using the Bose-Hubbard model. Hilbert space dimensions of many-body quantum models grow exponentially with the number of particles. Simulating time evolution in the Bose-Hubbard model is therefore a hard problem even in case of a moderate number of particles. Versions of this program held in the CPC repository in Mendeley Data AEYN_v1_0; TEBDOL; 10.1016/j.cpc.2015.10.016