Sampling electronic fock states using determinant quantum Monte Carlo
Abstract Analog quantum simulation based on ultracold atoms in optical lattices has catalyzed significant breakthroughs in the study of quantum many-body systems. These simulations rely on the statistical sampling of electronic Fock states, which are not easily accessible in classical algorithms. In...
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Nature Portfolio
2025-01-01
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| Series: | Communications Physics |
| Online Access: | https://doi.org/10.1038/s42005-025-01963-z |
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| _version_ | 1832571609393659904 |
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| author | Shuhan Ding Shaozhi Li Yao Wang |
| author_facet | Shuhan Ding Shaozhi Li Yao Wang |
| author_sort | Shuhan Ding |
| collection | DOAJ |
| description | Abstract Analog quantum simulation based on ultracold atoms in optical lattices has catalyzed significant breakthroughs in the study of quantum many-body systems. These simulations rely on the statistical sampling of electronic Fock states, which are not easily accessible in classical algorithms. In this work, we modify the determinant quantum Monte Carlo by integrating a Fock-state update mechanism alongside the auxiliary field. This method enables efficient sampling of Fock-state configurations. The Fock-state restrictive sampling scheme further enables the pre-selection of multiple ensembles at no additional computational cost, thereby broadening the scope of simulation to more general systems and models. Employing this method, we analyze static correlations of the Hubbard model up to the fourth order and achieve quantitative agreement with cold-atom experiments. The simulations of dynamical spectroscopies of the Hubbard and Kondo-lattice models further demonstrate the reliability and advantage of this method. |
| format | Article |
| id | doaj-art-b377133fad3f4c40af7c820a5ad465cb |
| institution | Kabale University |
| issn | 2399-3650 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Communications Physics |
| spelling | doaj-art-b377133fad3f4c40af7c820a5ad465cb2025-02-02T12:28:05ZengNature PortfolioCommunications Physics2399-36502025-01-01811910.1038/s42005-025-01963-zSampling electronic fock states using determinant quantum Monte CarloShuhan Ding0Shaozhi Li1Yao Wang2Department of Physics and Astronomy, Clemson UniversityDepartment of Physics and Astronomy, Clemson UniversityDepartment of Physics and Astronomy, Clemson UniversityAbstract Analog quantum simulation based on ultracold atoms in optical lattices has catalyzed significant breakthroughs in the study of quantum many-body systems. These simulations rely on the statistical sampling of electronic Fock states, which are not easily accessible in classical algorithms. In this work, we modify the determinant quantum Monte Carlo by integrating a Fock-state update mechanism alongside the auxiliary field. This method enables efficient sampling of Fock-state configurations. The Fock-state restrictive sampling scheme further enables the pre-selection of multiple ensembles at no additional computational cost, thereby broadening the scope of simulation to more general systems and models. Employing this method, we analyze static correlations of the Hubbard model up to the fourth order and achieve quantitative agreement with cold-atom experiments. The simulations of dynamical spectroscopies of the Hubbard and Kondo-lattice models further demonstrate the reliability and advantage of this method.https://doi.org/10.1038/s42005-025-01963-z |
| spellingShingle | Shuhan Ding Shaozhi Li Yao Wang Sampling electronic fock states using determinant quantum Monte Carlo Communications Physics |
| title | Sampling electronic fock states using determinant quantum Monte Carlo |
| title_full | Sampling electronic fock states using determinant quantum Monte Carlo |
| title_fullStr | Sampling electronic fock states using determinant quantum Monte Carlo |
| title_full_unstemmed | Sampling electronic fock states using determinant quantum Monte Carlo |
| title_short | Sampling electronic fock states using determinant quantum Monte Carlo |
| title_sort | sampling electronic fock states using determinant quantum monte carlo |
| url | https://doi.org/10.1038/s42005-025-01963-z |
| work_keys_str_mv | AT shuhanding samplingelectronicfockstatesusingdeterminantquantummontecarlo AT shaozhili samplingelectronicfockstatesusingdeterminantquantummontecarlo AT yaowang samplingelectronicfockstatesusingdeterminantquantummontecarlo |