{"title":"Superdiffusive to ballistic transport in nonintegrable Rydberg simulator","authors":"Chun Chen, Yan Chen, Xiaoqun Wang","doi":"10.1038/s41534-024-00884-z","DOIUrl":null,"url":null,"abstract":"<p>A common wisdom posits that transport of conserved quantities across clean nonintegrable quantum systems at high temperatures is diffusive when probed from the emergent hydrodynamic regime. We show that this empirical paradigm may alter if the strong interaction limit is taken. Using Krylov-typicality and purification matrix-product-state methods, we establish in short-to-intermediate time scales the following observations for the nonintegrable lattice model imitating the experimental Rydberg blockade simulator. Given the strict projection owing to the infinite density-density repulsion <i>V</i>, the Rydberg chain’s energy transport in the presence of a transverse field <i>g</i> is tentatively superdiffusive at infinite temperature featured by an anomalous scaling exponent <span>\\(\\frac{3}{4}\\)</span>, indicating the potential existence of a novel dynamical universality class. Imposing, in addition, a growing longitudinal field <i>h</i> causes a putative superdiffusion-to-ballistic transport transition at <i>h</i> ≈ <i>g</i>. Interestingly, all the above results persist for large but finite interactions and temperatures, provided that the strongly interacting condition <i>g</i>, <i>h</i> <span>≪</span> <i>k</i><sub>B</sub><i>T</i> <span>≪</span> <i>V</i> is fulfilled. Our predictions are testable by current Rydberg quantum simulation facilities.</p>","PeriodicalId":19212,"journal":{"name":"npj Quantum Information","volume":"14 1","pages":""},"PeriodicalIF":6.6000,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"npj Quantum Information","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1038/s41534-024-00884-z","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
A common wisdom posits that transport of conserved quantities across clean nonintegrable quantum systems at high temperatures is diffusive when probed from the emergent hydrodynamic regime. We show that this empirical paradigm may alter if the strong interaction limit is taken. Using Krylov-typicality and purification matrix-product-state methods, we establish in short-to-intermediate time scales the following observations for the nonintegrable lattice model imitating the experimental Rydberg blockade simulator. Given the strict projection owing to the infinite density-density repulsion V, the Rydberg chain’s energy transport in the presence of a transverse field g is tentatively superdiffusive at infinite temperature featured by an anomalous scaling exponent \(\frac{3}{4}\), indicating the potential existence of a novel dynamical universality class. Imposing, in addition, a growing longitudinal field h causes a putative superdiffusion-to-ballistic transport transition at h ≈ g. Interestingly, all the above results persist for large but finite interactions and temperatures, provided that the strongly interacting condition g, h≪kBT≪V is fulfilled. Our predictions are testable by current Rydberg quantum simulation facilities.
一种普遍的观点认为,在高温条件下,当从新兴流体力学体系进行探测时,守恒量在清洁的不可整合量子系统中的传输是扩散的。我们的研究表明,如果采用强相互作用极限,这一经验范式可能会发生改变。利用克雷洛夫-典型性和纯化矩阵-积态方法,我们在中短时间尺度上建立了模仿雷德贝格实验封锁模拟器的不可解晶格模型的以下观察结果。考虑到无限密度-密度斥力 V 导致的严格投影,雷德贝格链在横向场 g 存在下的能量传输在无限温度下具有超扩散性(\frac{3}{4}),这表明可能存在一个新的动力学普遍性类别。有趣的是,在满足强相互作用条件 g, h ≪ kBT ≪ V 的前提下,所有上述结果在大但有限的相互作用和温度下都会持续存在。我们的预测可以通过目前的雷德堡量子模拟设施进行检验。
期刊介绍:
The scope of npj Quantum Information spans across all relevant disciplines, fields, approaches and levels and so considers outstanding work ranging from fundamental research to applications and technologies.