A quantum Monte Carlo algorithm for Bose-Hubbard models on arbitrary graphs
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866913331103662080 |
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| author | Hen, Itay Akaturk, Emre |
| author_facet | Hen, Itay Akaturk, Emre |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_05166 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A quantum Monte Carlo algorithm for Bose-Hubbard models on arbitrary graphs Hen, Itay Akaturk, Emre Statistical Mechanics Quantum Physics 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. |
| title | A quantum Monte Carlo algorithm for Bose-Hubbard models on arbitrary graphs |
| topic | Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2309.05166 |