A sport and a pastime: Model design and computation in quantum many-body systems

doi:10.1088/1674-1056/aca083

中国物理B ›› 2022, Vol. 31 ›› Issue (12): 127101-127101.doi: 10.1088/1674-1056/aca083

所属专题： TOPICAL REVIEW — Celebrating 30 Years of Chinese Physics B

A sport and a pastime: Model design and computation in quantum many-body systems

Gaopei Pan(潘高培)^1,2, Weilun Jiang(姜伟伦)^1,2, and Zi Yang Meng(孟子杨)^3,†

1 Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
3 Department of Physics and HKU-UCAS Joint Institute of Theoretical and Computational Physics, The University of Hong Kong, Pokfulam Road, Hong Kong SAR, China

收稿日期:2022-06-20 修回日期:2022-10-10 接受日期:2022-11-07 出版日期:2022-11-11 发布日期:2022-11-28
通讯作者: Zi Yang Meng E-mail:zymeng@hku.hk
基金资助:
GPP, WLJ and ZYM acknowledge support from the Research Grants Council of Hong Kong SAR of China (Grant Nos. 17303019, 17301420, 17301721 and AoE/P-701/20), the K. C. Wong Education Foundation (Grant No. GJTD-2020-01), and the Seed Funding "Quantum-Inspired explainableAI" at the HKU-TCL Joint Research Centre for Artificial Intelligence. We thank the Computational Initiative at the Faculty of Science and HPC2021 system under the Information Technology Services at the University of Hong Kong, and the Tianhe platforms at the National Supercomputer Centers for their technical support and generous allocation of CPU time.

A sport and a pastime: Model design and computation in quantum many-body systems

Gaopei Pan(潘高培)^1,2, Weilun Jiang(姜伟伦)^1,2, and Zi Yang Meng(孟子杨)^3,†

1 Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
3 Department of Physics and HKU-UCAS Joint Institute of Theoretical and Computational Physics, The University of Hong Kong, Pokfulam Road, Hong Kong SAR, China

Received:2022-06-20 Revised:2022-10-10 Accepted:2022-11-07 Online:2022-11-11 Published:2022-11-28
Contact: Zi Yang Meng E-mail:zymeng@hku.hk
Supported by:
GPP, WLJ and ZYM acknowledge support from the Research Grants Council of Hong Kong SAR of China (Grant Nos. 17303019, 17301420, 17301721 and AoE/P-701/20), the K. C. Wong Education Foundation (Grant No. GJTD-2020-01), and the Seed Funding "Quantum-Inspired explainableAI" at the HKU-TCL Joint Research Centre for Artificial Intelligence. We thank the Computational Initiative at the Faculty of Science and HPC2021 system under the Information Technology Services at the University of Hong Kong, and the Tianhe platforms at the National Supercomputer Centers for their technical support and generous allocation of CPU time.

摘要/Abstract

摘要： We summarize the recent developments in the model design and computation for a few representative quantum many-body systems, encompassing quantum critical metals beyond the Hertz-Millis-Moriya framework with pseudogap and superconductivity, SYK non-Fermi-liquid with self-tuned quantum criticality and fluctuation induced superconductivity, and the flat-band quantum Moiré lattice models in continuum where the interplay of quantum geometry of flat-band wave function and the long-range Coulomb interactions gives rise to novel insulating phases at integer fillings and superconductivity away from them. Although the narrative choreography seems simple, we show how important the appropriate model design and their tailor-made algorithmic developments - in other words, the scientific imagination inspired by the corresponding fast experimental developments in the aforementioned systems - compel us to invent and discover new knowledge and insights in the sport and pastime of quantum many-body research.

关键词: quantum Monte Carlo, non-Fermi-liquid, quantum phase transition, twisted bilayer graphene

Abstract: We summarize the recent developments in the model design and computation for a few representative quantum many-body systems, encompassing quantum critical metals beyond the Hertz-Millis-Moriya framework with pseudogap and superconductivity, SYK non-Fermi-liquid with self-tuned quantum criticality and fluctuation induced superconductivity, and the flat-band quantum Moiré lattice models in continuum where the interplay of quantum geometry of flat-band wave function and the long-range Coulomb interactions gives rise to novel insulating phases at integer fillings and superconductivity away from them. Although the narrative choreography seems simple, we show how important the appropriate model design and their tailor-made algorithmic developments - in other words, the scientific imagination inspired by the corresponding fast experimental developments in the aforementioned systems - compel us to invent and discover new knowledge and insights in the sport and pastime of quantum many-body research.

Key words: quantum Monte Carlo, non-Fermi-liquid, quantum phase transition, twisted bilayer graphene

中图分类号: (Non-Fermi-liquid ground states, electron phase diagrams and phase transitions in model systems)

71.10.Hf

73.22.Pr (Electronic structure of graphene) 05.30.Rt (Quantum phase transitions) 02.70.Ss (Quantum Monte Carlo methods)

Gaopei Pan(潘高培), Weilun Jiang(姜伟伦), and Zi Yang Meng(孟子杨). A sport and a pastime: Model design and computation in quantum many-body systems[J]. 中国物理B, 2022, 31(12): 127101-127101.

Gaopei Pan(潘高培), Weilun Jiang(姜伟伦), and Zi Yang Meng(孟子杨). A sport and a pastime: Model design and computation in quantum many-body systems[J]. Chin. Phys. B, 2022, 31(12): 127101-127101.

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A sport and a pastime: Model design and computation in quantum many-body systems

A sport and a pastime: Model design and computation in quantum many-body systems

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