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Quantum Simulation

A quantum Monte Carlo algorithm for Bose-Hubbard models on arbitrary graphs

arXiv
Authors: Itay Hen, Emre Akaturk

Year

2023

Paper ID

54999

Status

Preprint

Abstract Read

~2 min

Abstract Words

119

Citations

N/A

Abstract

We propose a quantum Monte Carlo algorithm capable of simulating the Bose-Hubbard model on arbitrary graphs, obviating the need for devising lattice-specific updates for different input graphs. We show that with our method, which is based on the recently introduced Permutation Matrix Representation Quantum Monte Carlo [Gupta, Albash and Hen, J. Stat. Mech. (2020) 073105], the problem of adapting the simulation to a given geometry amounts to generating a cycle basis for the graph on which the model is defined, a procedure that can be carried out efficiently and and in an automated manner. To showcase the versatility of our approach, we provide simulation results for Bose-Hubbard models defined on two-dimensional lattices as well as on a number of random graphs.

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  • We propose a quantum Monte Carlo algorithm capable of simulating the Bose-Hubbard model on arbitrary graphs, obviating the need for devising lattice-specific updates for...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2309.05166 [2] arXiv https://arxiv.org/abs/2309.05166 [3] Publisher https://arxiv.org/abs/2309.05166

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