<div data-page-id="doxcnlT9GP9C0qzG5HI5Wbtuynh" data-docx-has-block-data="true"> <div class="image-uploaded gallery old-record-id-doxcnsWuQisU22WgAq77te8wztb" data-type="image" data-ace-gallery-json="{&quot;items&quot;:[{&quot;uuid&quot;:&quot;bd73e915-6364-4d75-b689-cae980eabd3c&quot;,&quot;height&quot;:376,&quot;width&quot;:501,&quot;currHeight&quot;:376,&quot;currWidth&quot;:501,&quot;natrualHeight&quot;:376,&quot;natrualWidth&quot;:501,&quot;pluginName&quot;:&quot;imageUpload&quot;,&quot;scale&quot;:1,&quot;src&quot;:&quot;https%3A%2F%2Finternal-api-drive-stream.feishu.cn%2Fspace%2Fapi%2Fbox%2Fstream%2Fdownload%2Fall%2FboxcnyB2KrKFIchEFoOuTU1MMEg%2F%3Fmount_node_token%3DdoxcnsWuQisU22WgAq77te8wztb%26mount_point%3Ddocx_image&quot;,&quot;file_token&quot;:&quot;boxcnyB2KrKFIchEFoOuTU1MMEg&quot;,&quot;image_type&quot;:&quot;image/jpeg&quot;,&quot;size&quot;:173329,&quot;comments&quot;:[]}]}"><span class="h6"><img style="display: block; margin-left: auto; margin-right: auto;" 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old-record-id-doxcncik2iWYEemwiq6fZnVIxJd" style="text-align: justify;"><span class="p">&nbsp;</span></div> <div class="image-uploaded gallery old-record-id-doxcnsmY44EaGgiQkWAnPMb8wKe" data-type="image" data-ace-gallery-json="{&quot;items&quot;:[{&quot;uuid&quot;:&quot;8d6024d7-e1db-4f5d-a66c-e3a9f4709dab&quot;,&quot;height&quot;:376,&quot;width&quot;:546,&quot;currHeight&quot;:376,&quot;currWidth&quot;:546,&quot;natrualHeight&quot;:376,&quot;natrualWidth&quot;:546,&quot;pluginName&quot;:&quot;imageUpload&quot;,&quot;scale&quot;:1,&quot;src&quot;:&quot;https%3A%2F%2Finternal-api-drive-stream.feishu.cn%2Fspace%2Fapi%2Fbox%2Fstream%2Fdownload%2Fall%2FboxcnyHm4oVTggS2AJy8kHVur5g%2F%3Fmount_node_token%3DdoxcnsmY44EaGgiQkWAnPMb8wKe%26mount_point%3Ddocx_image&quot;,&quot;file_token&quot;:&quot;boxcnyHm4oVTggS2AJy8kHVur5g&quot;,&quot;image_type&quot;:&quot;image/png&quot;,&quot;size&quot;:145350,&quot;comments&quot;:[]}]}"><span class="p"><img style="display: block; margin-left: auto; margin-right: auto;" src="https://o7m7mpmybq.feishu.cn/space/api/box/stream/download/asynccode/?code=MjUyY2JjMmJhYzdjNDg0ZGI5MTJjMjFiNGI3M2FjMzVfbnZRSTVrU2VNVU5UNzNnSEoyeHlraVhXN29ZWFhGSG1fVG9rZW46Ym94Y255SG00b1ZUZ2dTMkFKeThrSFZ1cjVnXzE2NTkzNDY1Nzc6MTY1OTM1MDE3N19WNA" width="546" height="376" data-single-block="true" data-snapshot="eyJ0eXBlIjoiaW1hZ2UiLCJwYXJlbnRfaWQiOiJkb3hjbmxUOUdQOUMwcXpHNUhJNVdidHV5bmgiLCJjb21tZW50cyI6W10sImxvY2tlZCI6ZmFsc2UsImhpZGRlbiI6ZmFsc2UsImF1dGhvciI6IjcxMTExMjM4Mjc2ODk1ODY2OTIiLCJhbGlnbiI6IiIsImltYWdlIjp7InRva2VuIjoiYm94Y255SG00b1ZUZ2dTMkFKeThrSFZ1cjVnIiwibWltZVR5cGUiOiJpbWFnZS9wbmciLCJzaXplIjoxNDUzNTAsInNjYWxlIjoxLCJ3aWR0aCI6NTQ2LCJoZWlnaHQiOjM3NiwibmFtZSI6ImJveGNueUhtNG9WVGdnUzJBSnk4a0hWdXI1Zy5wbmcifX0=" 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old-record-id-doxcnIGMISaooOMICSuFOX67qbf" style="text-align: justify;"><span class="p">&nbsp;</span></div> <div class="image-uploaded gallery old-record-id-doxcnCCoAqsyCuQaueuTj2lczAd" style="text-align: justify;" data-type="image" data-ace-gallery-json="{&quot;items&quot;:[{&quot;uuid&quot;:&quot;816ac880-d828-49bd-8650-b5bc27e7b42a&quot;,&quot;height&quot;:335,&quot;width&quot;:826,&quot;currHeight&quot;:335,&quot;currWidth&quot;:826,&quot;natrualHeight&quot;:335,&quot;natrualWidth&quot;:826,&quot;pluginName&quot;:&quot;imageUpload&quot;,&quot;scale&quot;:1,&quot;src&quot;:&quot;https%3A%2F%2Finternal-api-drive-stream.feishu.cn%2Fspace%2Fapi%2Fbox%2Fstream%2Fdownload%2Fall%2FboxcnXspQqlpboAQPS6hnuc02qc%2F%3Fmount_node_token%3DdoxcnCCoAqsyCuQaueuTj2lczAd%26mount_point%3Ddocx_image&quot;,&quot;file_token&quot;:&quot;boxcnXspQqlpboAQPS6hnuc02qc&quot;,&quot;image_type&quot;:&quot;image/png&quot;,&quot;size&quot;:174345,&quot;comments&quot;:[]}]}"><span class="p"><img src="https://o7m7mpmybq.feishu.cn/space/api/box/stream/download/asynccode/?code=NzQyMjA5ZWMwNDJhYTRjMWYwMzMzNDNjOWUxNjVhZTZfRG1tYXY3RG5vZnpPQTR2UHdhUXdiVGszNldXRkdwYmhfVG9rZW46Ym94Y25Yc3BRcWxwYm9BUVBTNmhudWMwMnFjXzE2NTkzNDY1Nzc6MTY1OTM1MDE3N19WNA" width="808" height="327" data-single-block="true" data-snapshot="eyJ0eXBlIjoiaW1hZ2UiLCJwYXJlbnRfaWQiOiJkb3hjbmxUOUdQOUMwcXpHNUhJNVdidHV5bmgiLCJjb21tZW50cyI6W10sImxvY2tlZCI6ZmFsc2UsImhpZGRlbiI6ZmFsc2UsImF1dGhvciI6IjcxMTExMjM4Mjc2ODk1ODY2OTIiLCJhbGlnbiI6IiIsImltYWdlIjp7InRva2VuIjoiYm94Y25Yc3BRcWxwYm9BUVBTNmhudWMwMnFjIiwibWltZVR5cGUiOiJpbWFnZS9wbmciLCJzaXplIjoxNzQzNDUsInNjYWxlIjoxLCJ3aWR0aCI6ODI2LCJoZWlnaHQiOjMzNSwibmFtZSI6ImJveGNuWHNwUXFscGJvQVFQUzZobnVjMDJxYy5wbmcifX0=" data-suite="eyJmaWxlVG9rZW4iOiJib3hjblhzcFFxbHBib0FRUFM2aG51YzAycWMiLCJvYmpUeXBlIjoiZG9jeCIsIm9ialRva2VuIjoiZG94Y25DQ29BcXN5Q3VRYXVldVRqMmxjekFkIiwib3JpZ2luU3JjIjoiaHR0cHM6Ly9pbnRlcm5hbC1hcGktZHJpdmUtc3RyZWFtLmZlaXNodS5jbi9zcGFjZS9hcGkvYm94L3N0cmVhbS9kb3dubG9hZC9hbGwvYm94Y25Yc3BRcWxwYm9BUVBTNmhudWMwMnFjLz9tb3VudF9ub2RlX3Rva2VuPWRveGNuQ0NvQXFzeUN1UWF1ZXVUajJsY3pBZCZtb3VudF9wb2ludD1kb2N4X2ltYWdlIn0=" data-src="https://internal-api-drive-stream.feishu.cn/space/api/box/stream/download/all/boxcnXspQqlpboAQPS6hnuc02qc/?mount_node_token=doxcnCCoAqsyCuQaueuTj2lczAd&amp;mount_point=docx_image" data-width="826" data-height="335" /></span></div> <div class="ace-line ace-line old-record-id-doxcn4meY0mUQmmIy4mb3yd4c3D" style="text-align: justify;"><span class="p">&nbsp;</span></div> <div class="ace-line ace-line old-record-id-doxcnEueeiSioMqEiiyZyb3iBp8" style="text-align: center;"><span class="h6">圖3：可果美量子自旋模型的晶格類型及拓?fù)潇氐南鄳?yīng)結(jié)果。</span></div> <div class="ace-line ace-line old-record-id-doxcnOgAs8Cq4AyeAqUXRv0bUZe" style="text-align: justify;"><span class="p">&nbsp;</span></div> <div class="ace-line ace-line old-record-id-doxcnoqgSeIIqayyssfgEsF24xf" style="text-align: justify;"><span class="p">來自香港大學(xué)（HKU）物理系的一個(gè)研究小組從超級(jí)計(jì)算機(jī)上的大規(guī)模模擬中發(fā)現(xiàn)了表征高度糾纏的量子物質(zhì)的明確證據(jù) - 量子自旋液體（QSL）（即使在非常低的溫度下仍然無序的物質(zhì)相）。 這項(xiàng)關(guān)鍵的研究工作最近發(fā)表在量子材料的主要期刊之一<em>npj量子材料</em>上。</span></div> <div class="ace-line ace-line old-record-id-doxcnMc6Ogy0KoiwccBJp8ifFfg" style="text-align: justify;"><span class="p">&nbsp;</span></div> <div class="ace-line ace-line old-record-id-doxcnyaEM2OQiUIUGyGalZ1UyMc" style="text-align: justify;"><span class="p">QSL是由1977年諾貝爾物理學(xué)獎(jiǎng)獲得者P.W.安德森（P. W. Anderson）于1973年提出的，它有可能用于拓?fù)淞孔佑?jì)算，將計(jì)算機(jī)的計(jì)算能力提升到一個(gè)新的階段，并幫助理解高溫超導(dǎo)體的機(jī)制，從而大大降低電力傳輸過程中的能源成本。 由于超導(dǎo)體中沒有電阻。</span></div> <div class="ace-line ace-line old-record-id-doxcnw8qwsq4QEWIuYr4z4ptV6d" style="text-align: justify;"><span class="p">&nbsp;</span></div> <div class="ace-line ace-line old-record-id-doxcnsqkWA66WG0YGeUYMv2H11f" style="text-align: justify;"><span class="p">QSL被稱為液體，因?yàn)樗谶@件事上缺乏常規(guī)順序。QSL具有起源于長(zhǎng)距離和強(qiáng)量子糾纏的拓?fù)漤樞颍捎谌狈δ軌蛲昝缹?shí)現(xiàn)科學(xué)家提出的許多模型系統(tǒng)的材料，以找到QSL的拓?fù)漤樞虿⒆C明其存在，因此檢測(cè)該拓?fù)漤樞蚴且豁?xiàng)非常艱巨的任務(wù)。因此，尚未被明確接受的具體證據(jù)表明QSL在自然界中存在。</span></div> <div class="ace-line ace-line old-record-id-doxcnQOYcAEayOIamGasLiuoAgh" style="text-align: justify;"><span class="p">&nbsp;</span></div> <div class="ace-line ace-line old-record-id-doxcngkUoswCKUKmwCAit2XXyNh" style="text-align: justify;"><span class="p">在此背景下，來自香港大學(xué)物理系的趙佳瑞先生、陳斌斌博士、鄭岱博士和孟子洋博士在可果美晶格量子自旋模型的一個(gè)階段成功探測(cè)了這一拓?fù)潆A次，該模型是一種具有內(nèi)在量子糾纏的二維晶格模型，由具有Z的科學(xué)家提出。(2)（2階的循環(huán)群）拓?fù)漤樞?，通過在超級(jí)計(jì)算機(jī)上精心設(shè)計(jì)的數(shù)值實(shí)驗(yàn)。拓?fù)浼m纏熵的明確結(jié)果強(qiáng)烈表明，從數(shù)值角度來看，QSL存在于高度糾纏量子模型中。</span></div> <div class="ace-line ace-line old-record-id-doxcn8IOieMgEcc8C2pYwU6zcJc" style="text-align: justify;"><span class="p">&nbsp;</span></div> <div class="ace-line ace-line old-record-id-doxcnSOMoKU8cU4eSofL8M2hb1b" style="text-align: justify;"><span class="p">&ldquo;我們的工作利用了現(xiàn)代超級(jí)計(jì)算機(jī)的卓越計(jì)算能力，我們用它們來模擬一個(gè)非常復(fù)雜的模型，該模型被認(rèn)為具有拓?fù)漤樞颉８鶕?jù)我們的發(fā)現(xiàn)，物理學(xué)家更有信心QSL應(yīng)該存在于自然界中，&ldquo;該期刊論文的第一作者，物理系博士生趙佳瑞先生說。</span></div> <div class="ace-line ace-line old-record-id-doxcnGSEw0eKGkCUImGHOWJG1Eh" style="text-align: justify;"><span class="p">&nbsp;</span></div> <div class="ace-line ace-line old-record-id-doxcnw2icUASkOY2McnuLYaewye" style="text-align: justify;"><span class="p">&ldquo;數(shù)值模擬一直是量子材料科學(xué)研究的重要趨勢(shì)。我們的算法和計(jì)算可以找到更有趣和新穎的量子物質(zhì)，這些努力肯定會(huì)有助于實(shí)用量子技術(shù)和基礎(chǔ)研究新范式的發(fā)展。物理系副教授子陽萌博士說。 研究團(tuán)隊(duì)設(shè)計(jì)了一個(gè)關(guān)于可果美自旋模型的數(shù)值實(shí)驗(yàn)（可果美是一種二維晶格結(jié)構(gòu)，顯示出與日本傳統(tǒng)竹子編織圖案相似的圖案，形狀為六角形格子。），實(shí)驗(yàn)示意圖如圖2所示。系統(tǒng)的糾纏熵（S）可以通過測(cè)量模型的自由能在精心設(shè)計(jì)的非平衡過程中的變化來獲得。表征長(zhǎng)程拓?fù)潆A的拓?fù)潇兀?amp;gamma;）可以通過將不同糾纏邊界長(zhǎng)度的糾纏熵?cái)?shù)據(jù)擬合到一條直線（S=al-&gamma;）來減去與總糾纏熵（S）中糾纏邊界（l）的長(zhǎng)度成正比的短程貢獻(xiàn)來提取。</span></div> <div class="ace-line ace-line old-record-id-doxcnSoMqEMYioeWo6XGMSm5C0e" style="text-align: justify;"><span class="p">如圖3所示，研究小組對(duì)兩種長(zhǎng)度和寬度不同比例的晶格進(jìn)行了實(shí)驗(yàn)，以確保結(jié)果的可靠性。我們使用一條直線來擬合糾纏熵與糾纏邊界長(zhǎng)度之間的關(guān)系，以便拓?fù)潇貞?yīng)等于直線的截距。我們的結(jié)果給出的拓?fù)潇刂禐?.4（2），這與Z2量子自旋液體的拓?fù)潇仡A(yù)測(cè)值一致，即2ln（2）。我們的研究結(jié)果從數(shù)值角度證實(shí)了QSL的存在。</span></div> <div class="ace-line ace-line old-record-id-doxcnWIU0EQSMmAswLPGxzruRzO" style="text-align: justify;"><span class="p">&nbsp;</span></div> <div class="ace-line ace-line old-record-id-doxcnOGsQmqKgUGsCqLuDKXbfqb" style="text-align: justify;"><span class="p"><strong>關(guān)于研究團(tuán)隊(duì)</strong></span></div> <div class="ace-line ace-line old-record-id-doxcnCCYaouIomowqGQhINqnDjc" style="text-align: justify;"><span class="p">這項(xiàng)研究是三位作者之間的合作成果 - 來自香港大學(xué)物理系的趙佳瑞先生，陳斌斌博士和鄭燕博士，在來自同一隸屬關(guān)系的Zi Yang Meng博士的監(jiān)督下。</span></div> <div class="ace-line ace-line old-record-id-doxcnm0iuG6oewQKQ2nfIPGLjog" style="text-align: justify;"><span class="p">&nbsp;</span></div> <div class="ace-line ace-line old-record-id-doxcnQq8uEusOqsYyeyjbQMTBYe" style="text-align: justify;"><span class="p">這項(xiàng)工作得到了香港特別行政區(qū)研究資助局卓越領(lǐng)域&ldquo;二維材料研究：新興技術(shù)的基礎(chǔ)&rdquo;的支持，以及香港大學(xué)-TCL人工智能聯(lián)合研究中心的種子資助量子啟發(fā)可解釋性人工智能。我們感謝香港大學(xué)信息技術(shù)服務(wù)部和HPC2021超級(jí)計(jì)算機(jī)，以及廣州國(guó)家超級(jí)計(jì)算機(jī)中心（天河二號(hào)超級(jí)計(jì)算機(jī)）的技術(shù)支持和慷慨的HPC資源，為本文報(bào)告的研究成果做出了貢獻(xiàn)。</span></div> </div>