تقرير
Algorithm for branching and population control in correlated sampling
| العنوان: | Algorithm for branching and population control in correlated sampling |
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| المؤلفون: | Chen, Siyuan, Yang, Yiqi, Morales, Miguel, Zhang, Shiwei |
| المصدر: | Physical Review RESEARCH 5, 043169 (2023) |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter Physics (Other) |
| مصطلحات موضوعية: | Physics - Computational Physics, Condensed Matter - Materials Science, Condensed Matter - Statistical Mechanics, Condensed Matter - Strongly Correlated Electrons |
| الوصف: | Correlated sampling has wide-ranging applications in Monte Carlo calculations. When branching random walks are involved, as commonly found in many algorithms in quantum physics and electronic structure, population control is typically not applied with correlated sampling due to technical difficulties. This hinders the stability and efficiency of correlated sampling. In this work, we study schemes for allowing birth/death in correlated sampling and propose an algorithm for population control. The algorithm can be realized in several variants depending on the application. One variant is a static method that creates a reference run and allows other correlated calculations to be added a posteriori. Another optimizes the population control for a set of correlated, concurrent runs dynamically. These approaches are tested in different applications in quantum systems, including both the Hubbard model and electronic structure calculations in real materials. Comment: 10 pages, 8 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevResearch.5.043169 |
| URL الوصول: | http://arxiv.org/abs/2307.15203 |
| رقم الأكسشن: | edsarx.2307.15203 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevResearch.5.043169 |
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