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Theories for Novel States of Matter Observed and Constructed in Condensed Matter and Cold Atom Systems

在凝聚态物质和冷原子系统中观察和构建的新物质态理论

基本信息

批准号：
1920434
负责人：
Cenke Xu
金额：
$ 33万
依托单位：
University of California-Santa Barbara
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2019
资助国家：
美国
起止时间：
2019-08-01 至 2022-07-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1920434&HistoricalAwards=false
关键词：
Theories Novel States Matter Observed

项目摘要

NONTECHNICAL SUMMARYThis award supports research and education on developing theories for new states of matter that appear in materials and in systems comprised of arrangements of individual atoms at ultralow temperatures. The quantum mechanical behavior of interacting particles in these systems generates extremely rich physics and conceptual mysteries that continue to demand better and even revolutionary understanding from scientists. Recently, unexpected and exciting discoveries have been made in various condensed matter systems, such as devices made from two graphene sheets that can exhibit superconductivity when the two sheets are precisely stacked at a specific orientation with respect to one another. These systems offer unprecedented tunability and may represent the beginning of a new era of study in quantum many-body physics. Related recent progress in cold-atom experimental techniques allows the exploration of novel physics: under certain conditions, e.g. illumination by laser light of specific characteristics, these systems behave as if they exist in a higher-dimensional space than our usual three dimensions. This PI aims to develop and apply new theoretical concepts and methodologies to study the interplay of quantum mechanics and many-body physics in these platforms, and to develop theories for their manifestations in a variety of phenomena. The research could potentially lead to both new fundamental understanding of nature, and also to technological innovation from harnessing these strictly quantum phenomena. The project has potential scientific impact beyond condensed matter physics, as the research is relevant for high-energy physics. The PI expects to interact and collaborate broadly with scientists from related fields. The project will offer opportunities for training and mentoring graduate students and of postdoc researchers, providing them with essential theoretical tools that not only can be applied in physics research within academia but can also find uses in a wide range of industrial settings.TECHNICAL SUMMARYThis award supports research and education on unconventional states of matter in condensed-matter and cold-atom systems. The goal of this project is three-fold: i) to describe and understand the recently discovered superconductivity and the weakly correlated insulator phase in moire superlattices via a formalism developed by the PI's group recently, and to also engineer more exotic states of matter in related systems; ii) to construct and understand unconventional states of matter such as strongly interacting topological states and symmetry-protected topological states in high dimensions that can be realized in cold atom systems with synthetic dimensions; iii) to use the exactly soluble Sachdev-Ye-Kitaev physics as the starting point to describe and understand non-Fermi-liquid states and related phenomena that are experimentally observed in high-temperature superconductors.The project has potential scientific impact beyond condensed matter physics, as the research is relevant for high-energy physics. The PI expects to interact and collaborate broadly with scientists from related fields. The project will offer opportunities for training and mentoring graduate students and of postdoc researchers, providing them with essential theoretical tools that not only can be applied in physics research within academia but can also find uses in a wide range of industrial settings.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

非技术性总结该奖项支持研究和教育，发展新的物质状态理论，这些物质状态出现在材料和由超低温下单个原子排列组成的系统中。这些系统中相互作用粒子的量子力学行为产生了极其丰富的物理和概念奥秘，继续需要科学家更好甚至革命性的理解。最近，在各种凝聚态系统中已经取得了意想不到的和令人兴奋的发现，例如由两个石墨烯片制成的装置，当两个片相对于彼此以特定取向精确堆叠时，该装置可以表现出超导性。这些系统提供了前所未有的可调谐性，可能代表了量子多体物理学研究新时代的开始。冷原子实验技术的相关最新进展允许探索新的物理学：在某些条件下，例如特定特征的激光照射，这些系统的行为就好像它们存在于比我们通常的三维更高维的空间中。该PI旨在开发和应用新的理论概念和方法，以研究量子力学和多体物理学在这些平台上的相互作用，并为它们在各种现象中的表现发展理论。这项研究可能会导致对自然的新的基本理解，以及利用这些严格的量子现象进行技术创新。该项目具有超越凝聚态物理学的潜在科学影响，因为该研究与高能物理学有关。PI希望与相关领域的科学家进行广泛的互动和合作。该项目将为研究生和博士后研究人员提供培训和指导的机会，为他们提供必要的理论工具，不仅可以应用于学术界的物理研究，还可以在广泛的工业环境中找到用途。技术总结该奖项支持凝聚态和冷原子系统中非常规物质状态的研究和教育。该项目的目标有三个方面：i）通过PI小组最近开发的形式化理论来描述和理解最近发现的超导电性和莫尔超晶格中的弱相关绝缘体相，并在相关系统中设计更多的奇异物质状态; ii）构建和理解非常规的物质状态，如强相互作用的拓扑状态和对称性-可以在具有合成维度的冷原子系统中实现的高维受保护拓扑状态; iii）使用精确可溶解的Sachdev-Ye-Kitaev物理学作为出发点来描述和理解非费米液体状态和在高密度下实验观察到的相关现象。该项目具有超越凝聚态物理学的潜在科学影响，因为该研究与高能物理学有关。PI希望与相关领域的科学家进行广泛的互动和合作。该项目将为研究生和博士后研究人员提供培训和指导的机会，为他们提供必要的理论工具，这些工具不仅可以应用于学术界的物理研究，还可以在广泛的工业环境中找到用途。该奖项反映了NSF的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。