旧锦新样 | 百年孤独和一级相变


编者按:最近某次关于分数陈绝缘体相变问题的讨论,涉及到多体系统作用量三阶项会导致一级相变的故事,勾起笔者对一段往事的追怀,想起八年前这篇游戏文字。文字背后的物理现象是在阻挫三角晶格横场 Ising model 量子临界点上,作用量三阶项消失,QCP 展现 emergent continuous symmetry;而在阻挫六角晶格横场 Ising mode 的量子临界点上,作用量三阶项不消失,QCP 为一级相变。这个故事背后的研究论文是 [Phys. Rev. B 96, 115160 (2017)]。类似的故事,笔者和合作者最近研究三角晶格量子环路模型相图的工作中,亦有所体现 [arXiv:2205.04472情愿不自由,便是自由了 | 量子多体中的呐喊与彷徨之十二]。不想如今这样的现象又在分数陈绝缘体相变问题中改头换面地出现。可见马尔克斯百年孤独的经典开头诚不我欺,“多年之后面对 ……” 这样的事情,在个人的生命历程中总是反复地出现,一如身处的环境总在重复其文化历史基因中的错误一样。值得记取的教训,除了马贡多小镇无法摆脱的悲剧宿命和多体系统作用量三阶项会导致一级相变,恐怕还是“学好蒙特卡洛,不会被忽悠”。 Continue reading

Unearth the myth in long-range interacting systems

Recent research demystifies the effects of long-range interactions on physical systems. Our quantum Monte Carlo simulations and field theoretical analysis on (2+1)-dimensional O(3) quantum critical points and two-dimensional Néel states with long-range interactions have uncovered the critical exponents of quantum critical points influenced by long-range interactions exhibit three distinct renormalization group fixed points (Phys. Rev. B 109, L081114 (2024) Editor's suggestion). At finite temperature, our unbiased investigation demonstrated the spontaneous breaking of SU(2) symmetry in Heisenberg model with 1/r^α-form long-range interactions beyond the Mermin-Wagner theorem. Critical exponents have been determined for different ranges of α, revealing new critical behaviors (npj Quantum Mater. 8, 59 (2023)). These works encourage further theoretical and experimental studies of quantum materials with long-range interactions, expanding our understanding beyond locality.

Unlock Tunable Nonlinear Hall Effect in Twisted Bilayer Graphene

A team of international researchers led by HKU (composed of PhD student Xu ZHANG and his advisor Dr Zi Yang MENG) and HKUST has made a significant discovery in the field of quantum materials, uncovering the controllable nonlinear Hall effect in twisted bilayer graphene. The findings, published as an Editors' Suggestion article in the prestigious physics journal Physical Review Letters, discovered that by adjusting the dispersion of the topological flat bands in twisted bilayer graphene, the Berry curvature dipole moments, which play a crucial role in the Hall effect, can be easily controlled and manipulated. Continue reading

Successful PhD defenses for the first-generation HKU PhD graduates

August 18, 2023, is a significant day for Mr. Jiarui Zhao and Mr. Chengkang Zhou, as on this day they have successfully defended their Ph.D. thesis with the title “Disorder Operators, Entanglement Entropies, and Dynamic Spectra in Strongly Correlated Quantum Spin Systems:A Quantum Monte Carlo Study” and “Quantum Monte Carlo simulations of dimension tunability phenomena in the quantum spin system”. They are the first-generation HKU PhD graduates from Zi Yang Meng’s group. Congratulations to Dr. Jiarui Zhao and Dr. Chengkang Zhou! Continue reading

一场游戏一次消遣——量子多体问题的模型设计与计算

本文是为中国物理学会 Chinese Physics B 30周年刊庆邀请撰写的综述文章:A sport and a pastime: Model design and computation in quantum many-body systems 所做的创作谈。从文章发表到今天,不过两个月时间,但这两个月内世界变化之快如同梦境。穿行在分裂的世界中,我们几近不能分辨现实是否只是梦境的替身,抑或是这世上太多人都因为失去了记忆而变得只是随着风向空转。趁着我们还没有失去记忆,在这里记录下综述文章中量子多体问题模型设计与计算求解的物理学内容,和在完成这篇30多页的科学论文时,我们的内心寄托。希望能够在这个没有信用的世界中,留下一些信用的记录。 Continue reading

Advanced computing system ‘Blackbody’ for solving the challenging physics problems

To pursue advances in astronomy, quantum physics, and interdisciplinary science, our research teams worked together to deploy a new supercomputing system, named ‘Blackbody’ supercomputer -- the name stems from their respective research topics of ‘Black hole’ and ‘Quantum many-body‘ physics. The system has been set up in fall 2022 and is currently in full operation. Thank you for the hard work and Congratulations for all the participants! Continue reading

         

好蛋大爷的纠缠谱猜想——路径积分虫洞效应揭示纠缠谱与能谱的迷离关系

一个好的猜想,值得一个漂亮的证明,和一些恰到好处的推广。从路径积分虫洞效应出发,我们的工作提供了理解好蛋大爷的纠缠谱猜想的一个好的思路,也孵出了额外的“好蛋”。... 某天,鄙人在听复旦理论物理报告之时,正好讲到纠缠谱和拓扑物态的关系。受限于目前的数值技术,人们只能研究一维量子系统的纠缠谱。这启发了笔者的一个想法:通过量子蒙卡结合数值解析延拓技术,求解纠缠谱。后面的故事,就这么展开了。 Continue reading

Predict the novel entangled states on programmable quantum simulators


Quantum dimer models are known to host topological quantum spin liquid phases, and it has recently become possible to simulate such models with Rydberg atoms trapped in arrays of optical tweezers. By means of large-scale quantum Monte Carlo simulations ... we find distinct odd and even Z2 spin liquids, along with several phases with no topological order: a staggered crystal, a nematic phase, and a trivial symmetric phase with no obvious broken symmetry. We also present dynamic spectra of the phases, and note implications for experiments on Rydberg atoms. Continue reading

阿龙探案蒙特卡洛符号问题

量子多体计算领域有几个传统的谜团或者说神话故事,比如量子蒙特卡洛计算一旦遇到符号问题,其重要性抽样就当场失效;比如张量网络计算总能克服万难成功找到指数大的希尔伯特空间中那个甜蜜的小角落;比如第一性原理计算得到的能带可以煞有介事地解释关联电子材料的能谱;……。既然是谜团,就是可以没有标准答案,从业人员信与不信全看当时的心情,或者想也不想,别人怎么说我也怎么说。几十年过去了,谜团或者说神话故事,就这么口口相传下来。但是总有愿意琢磨事儿的人 ...... Continue reading