关于纠缠的十四行诗

十四行诗,英文叫Sonnet,老一辈翻译家还曾根据音译翻成商籁体,很好听。其实是欧洲的格律诗,最初是小诗、小歌谣,也不一定十四行,随着历史的演进十四行诗句的格式逐渐被定型下来,而且押韵结构也有了严格的限制。在文艺复兴时的意大利,有了彼特拉克体(Petrarchan Sonnet),音韵优美,以歌颂爱情为主。一般分为两部分,前一部分由两段四行诗组成,韵脚为a-b-b-a,a-b-b-a;后一部分由两段三行诗组成,韵脚为c-d-e,c-d-e。 Continue reading "关于纠缠的十四行诗"

库伦作用无尽期,动量蒙卡寄相思

白石道人姜夔,南宋词人,一生布衣游食四方,存词只有80余首,不算高产(虽然他21岁写下的《扬州慢·淮左名都》入选中学语文课本,诸君可以想想自己21岁时在做什么)。但在他43岁那年的正月里,情感不知为何受到了大的扰动,爆发似的一口气写下一组五首《鹧鸪天》(准确地说是从正月初一到正月十六,从第一首《鹧鸪天.丁巳元日》到第五首 《鹧鸪天·十六夜出》),曲折地追怀自己生命中一段年轻的爱情,五首皆为精品。 Continue reading "库伦作用无尽期,动量蒙卡寄相思"

转角石墨烯的三昧

三昧是佛教里的话,是说修行的人能够止息杂念,心神平静,进入禅定,一窥事物的真谛。我们这些俗人,又生活在俗世,每天都在吃喝拉撒中辗转,应付尚且不足,禅定更不可及,离三昧境盖益远矣。大先生有篇著名的文章,叫《世故三昧》,很短,很有趣,把在人世间难得三昧的窘境和苦境写得通透,感兴趣的读者可以找来看看,一定强过阅读下面带着公式和图表的物理八股。 Continue reading "转角石墨烯的三昧"

我爱纠缠如秋裤

科学研究当然也是揭示规律性的活动,从事这个行业的,也颇有一些愿意思考的人。有趣的是,在笔者熟悉的量子多体系统的研究中,竟也存在一个和秋裤颇为相像的事物,揭示出量子多体系统中无处不在的量子纠缠这样深刻的道理,让科研从业者中愿意思考的人安心,忘却身边的种种不顺遂,进入“此中有真意”的境界而更加起劲地探索其中的奥妙。他们发现通过秋裤的视角可以揭示量子多体系统从朗道—金兹堡对称性自发破缺,到量子相变,再到拓扑序长程纠缠和范畴对称性等等奇异的现象,秋裤之功善莫大焉。 Continue reading "我爱纠缠如秋裤"

Correlation-Induced Insulating Topological Phases at Charge Neutrality in Twisted Bilayer Graphene

Twisted bilayer graphene (TBG) consists of two stacked layers of graphene rotated relative to one another. With a twist angle of about 1.10° the so-called “magic” angle, many unconventional electronic behaviors emerge, including superconductivity and correlated insulators, a type of insulating phase that arises from interactions between electrons. Elucidating the mechanism responsible for these electronic states in magic-angle TBG is a problem at the frontier of quantum materials research. To help solve this problem, we employ an unbiased quantum many-body numerical method (quantum Monte Carlo simulations) to investigate the possible insulating phases of TBG. Continue reading "Correlation-Induced Insulating Topological Phases at Charge Neutrality in Twisted Bilayer Graphene"

The search of non-Fermi liquid

Three passions, simple but overwhelmingly strong, have governed my life: the longing for love, the search of knowledge, and unbearable pity for the suffering of mankind.

—Bertrand Russell

As Russell nicely put it, scientists are often driven by strong passions for the search of knowledge, such search not only benefits the human society, but often times brings the ecstasy to themselves -- the ecstasy for instance of understanding the hearts of men, knowing why the stars shine, and apprehending the Pythagorean power by which number holds sway above the flux -- that is so great that scientists would often have endured the long hours of working and sleepless nights for the pursuit of such joy. Continue reading "The search of non-Fermi liquid"

DQMC Note (行列式蒙卡之我见)

这些笔记是潘高培君学习行列式量子蒙特卡洛方法(Determinantal Quantum Monte Carlo, DQMC)中总结出的心得。基本描述了 DQMC 实现过程。内容主要参考了 Fakher Assaad 等人的综述文章和组里几位学生的笔记,按照笔者自己喜欢的逻辑顺序进行讲述,顺便补充了少数被略过的推导。希望可以作为一个行列式蒙卡学习中的参考资料。欢迎大家批评指正。 Continue reading "DQMC Note (行列式蒙卡之我见)"

神州帽子何其多

在一段悠然慵懒的岁月里,作者一边进行量子蒙特卡洛计算,一边读着二十四史。在量子多体中的呐喊与彷徨中看到了一丝曙光,也在历史的回味与反思中看到当今科研体制下的无奈与坚忍。“学者的贡献在于发扬真理,脱心志于俗谛之桎梏,在于铸造后起的头脑,不在于自己头上有多少帽子。” Continue reading "神州帽子何其多"

Quantum Material research connecting physicists in Hong Kong, Beijing and Shanghai

A joint research team from The University of Hong Kong (HKU), Institute of Physics at Chinese Academy of Science, Songshan Lake Materials Laboratory, Beihang University in Beijing and Fudan University in Shanghai, provide a successful example of modern era quantum material research. Continue reading "Quantum Material research connecting physicists in Hong Kong, Beijing and Shanghai"