Circumventing the odd particle-number sign problem in the shell model Monte Carlo
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866909449163112448 |
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| author | Alhassid, Y. Fanto, P. Özen, C. |
| author_facet | Alhassid, Y. Fanto, P. Özen, C. |
| contents | The shell model Monte Carlo (SMMC) method is a powerful method for calculating exactly (up to statistical errors) thermal observables and statistical properties of atomic nuclei. However, its application has been limited by a sign problem at low temperatures that arises from the projection onto odd particle number even for good-sign interactions. Here, we develop a technique - the partition function extrapolation method (PFEM) - to extract the ground-state energy of an odd-mass nucleus from the excitation partition function calculated at temperatures at which this sign problem is moderate. We validate the PFEM in heavy even-mass nuclei and systematically calculate ground-state energies for isotopic chains of heavy odd-mass nuclei. The PFEM can be extended to other finite-size quantum many-body systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2308_14698 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Circumventing the odd particle-number sign problem in the shell model Monte Carlo Alhassid, Y. Fanto, P. Özen, C. Nuclear Theory The shell model Monte Carlo (SMMC) method is a powerful method for calculating exactly (up to statistical errors) thermal observables and statistical properties of atomic nuclei. However, its application has been limited by a sign problem at low temperatures that arises from the projection onto odd particle number even for good-sign interactions. Here, we develop a technique - the partition function extrapolation method (PFEM) - to extract the ground-state energy of an odd-mass nucleus from the excitation partition function calculated at temperatures at which this sign problem is moderate. We validate the PFEM in heavy even-mass nuclei and systematically calculate ground-state energies for isotopic chains of heavy odd-mass nuclei. The PFEM can be extended to other finite-size quantum many-body systems. |
| title | Circumventing the odd particle-number sign problem in the shell model Monte Carlo |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2308.14698 |