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| Format: | Preprint |
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2026
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| Online-Zugang: | https://arxiv.org/abs/2603.28000 |
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| _version_ | 1866912987927805952 |
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| author | Xiong, Yunuo Morresi, Tommaso Xiong, Hongwei |
| author_facet | Xiong, Yunuo Morresi, Tommaso Xiong, Hongwei |
| contents | For strongly quantum-degenerate systems at finite temperatures, the fermion sign problem remains the major obstacle to first-principles simulations. In this work, we apply the recently proposed pseudo-fermion method - designed to overcome the sign problem - to strongly quantum-degenerate uniform electron gases. We find that the pseudo-fermion method can efficiently and highly accurately infer the energy of the uniform electron gas while being free from the fermion sign problem. For example, in the strongly quantum-degenerate regime where RPIMC fails (33 spin-polarized electrons at the density parameter $r_s = 0.5$), the relative deviation between the pseudo-fermion method and the exact CPIMC result is only 0.6%. In particular, the pseudo-fermion method bridges the gap where neither CPIMC nor RPIMC can accurately simulate the regime $1 \le r_s \le 2$ at the reduced temperature $θ= 0.0625$. This work demonstrates that the pseudo-fermion method opens a new pathway for studying strongly quantum-degenerate systems in a sign-problem-free manner. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28000 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Simulation of strongly quantum-degenerate uniform electron gas using the pseudo-fermion method Xiong, Yunuo Morresi, Tommaso Xiong, Hongwei Computational Physics Strongly Correlated Electrons For strongly quantum-degenerate systems at finite temperatures, the fermion sign problem remains the major obstacle to first-principles simulations. In this work, we apply the recently proposed pseudo-fermion method - designed to overcome the sign problem - to strongly quantum-degenerate uniform electron gases. We find that the pseudo-fermion method can efficiently and highly accurately infer the energy of the uniform electron gas while being free from the fermion sign problem. For example, in the strongly quantum-degenerate regime where RPIMC fails (33 spin-polarized electrons at the density parameter $r_s = 0.5$), the relative deviation between the pseudo-fermion method and the exact CPIMC result is only 0.6%. In particular, the pseudo-fermion method bridges the gap where neither CPIMC nor RPIMC can accurately simulate the regime $1 \le r_s \le 2$ at the reduced temperature $θ= 0.0625$. This work demonstrates that the pseudo-fermion method opens a new pathway for studying strongly quantum-degenerate systems in a sign-problem-free manner. |
| title | Simulation of strongly quantum-degenerate uniform electron gas using the pseudo-fermion method |
| topic | Computational Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2603.28000 |