تقرير
Quantum Quasi-Monte Carlo Technique for Many-Body Perturbative Expansions
| العنوان: | Quantum Quasi-Monte Carlo Technique for Many-Body Perturbative Expansions |
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| المؤلفون: | Maček, Marjan, Dumitrescu, Philipp T., Bertrand, Corentin, Triggs, Bill, Parcollet, Olivier, Waintal, Xavier |
| المصدر: | Phys. Rev. Lett. 125, 047702 (2020) |
| سنة النشر: | 2020 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Mesoscale and Nanoscale Physics |
| الوصف: | High order perturbation theory has seen an unexpected recent revival for controlled calculations of quantum many-body systems, even at strong coupling. We adapt integration methods using low-discrepancy sequences to this problem. They greatly outperform state-of-the-art diagrammatic Monte Carlo. In practical applications, we show speed-ups of several orders of magnitude with scaling as fast as $1/N$ in sample number $N$; parametrically faster than $1/\sqrt{N}$ in Monte Carlo. We illustrate our technique with a solution of the Kondo ridge in quantum dots, where it allows large parameter sweeps. Comment: 16 pages; 12 figures; v2. updates title and text to reflect published version; expands discussion, adds additional appendices, corrects typos |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevLett.125.047702 |
| URL الوصول: | http://arxiv.org/abs/2002.12372 |
| رقم الأكسشن: | edsarx.2002.12372 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevLett.125.047702 |
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