CAREER:Entanglement in strongly interacting quantum liquids and gases

该职业奖将支持旨在开发新的理论技术和高性能计算机软件的研究和教育，这些技术和软件能够探索和测量低温下相互作用的量子气体和原子液体的量子特性。量子力学定律从根本上限制了当前计算机的速度和效率，因为它规定了计算机逻辑组件的最小物理尺寸。然而，同样的定律可以通过利用量子纠缠作为信息处理应用的资源来带来指数级的更快的计算和安全的通信。纠缠是一个系统的纯量子特性，在我们的日常经验中没有类似的东西。它反映了量子系统各部分属性之间的联系，即使是在各部分物理分离之后。例如，对一个部件的特定属性的测量将立即决定对物理上独立的部件的相同属性的测量的结果。PI将研究使用在现代实验室中容易产生的量子系统作为纠缠源的可行性，这些纠缠源可以用于未来的量子技术。作为该项目的一部分开发的所有软件都将在公共存储库上提供给社区。在研究项目的同时，该项目将通过与不同群体的高中学生接触，重点关注低收入家庭的学生，推动佛蒙特大学高等科学课程的入学率增加。公团将参与升学预备计划，并向当地高中提供教学讲座、科学事业咨询、暑期研究实习等服务。佛蒙特州是美国唯一一个不提供物理学博士学位的州，为了解决这一事实，该奖项将允许PI设计量子计算研究生课程，并领导一个基层战略规划委员会，以推进该州研究生物理课程的发展。该职业奖支持旨在开发高性能计算机模拟工具的研究和教育，这些工具将用于确定可以从强相互作用的量子液体和气体中提取的纠缠量。通过量化量子多体系统中实验可达相的这种典型的非经典相关特性，将评估它们作为量子信息处理协议的纠缠资源的可行性和潜力。在这个项目中，PI将重点关注：i)提供了通过Mott绝缘体到光学晶格中超冷原子的超流体跃迁的纠缠熵的新生实验测量的定量比较，帮助设计未来的搜索；ii)发现超流体氦-4（桌面宏观量子相）中操作纠缠的数量；iii)探索具有远程相互作用和变形空间边界的系统中的纠缠缩放。这对发现普遍的、可能具有变革性的、新兴的物理现象具有启示意义。在CAREER项目中开发的量子蒙特卡罗算法和开源软件将允许在描述空间连续体中相互作用粒子的大量从头算哈密顿量中测量和优化量子纠缠。这些能力可能有助于加速下一代量子技术的设计和构建。作为该项目的一部分开发的所有软件都将在公共存储库上提供给社区。在研究项目的同时，该项目将通过与不同群体的高中学生接触，重点关注低收入家庭的学生，推动佛蒙特大学高等科学课程的入学率增加。公团将参与升学预备计划，并向当地高中提供教学讲座、科学事业咨询、暑期研究实习等服务。佛蒙特州是美国唯一一个不提供物理学博士学位的州，为了解决这一事实，该奖项将允许PI设计量子计算研究生课程，并领导一个基层战略规划委员会，以推进该州研究生物理课程的发展。

NONTECHNICAL SUMMARYThis CAREER award will support research and education aimed at developing new theoretical techniques and high-performance computer software that enable the exploration and measurement of quantum properties of interacting quantum gases and liquids of atoms at low temperatures. The laws of quantum mechanics are fundamentally responsible for limiting the speed and efficiency of current computers by imposing a minimum physical size for their logical components. However, the same laws can be exploited to bring about exponentially faster computation and secure communication by harnessing quantum entanglement as a resource for information processing applications. Entanglement is a purely quantum property of a system that has no analog in our everyday experience. It reflects connections between the properties of a quantum system's parts, even after the parts become physically separated. For example, a measurement of a specific property on one part will instantly determine the outcome of a measurement of the same property on a physically separate part. The PI will investigate the feasibility of using quantum systems that can be easily produced in modern laboratories as sources of entanglement that can be exploited for future quantum technologies. All software developed as part of this project will be made available to the community on public repositories.In tandem with the research projects, the PI will drive increased enrollment in post-secondary science programs at the University of Vermont by engaging with a diverse group of high-school students, with a focus on students from low-income families. The PI will participate in the Upward Bound college preparation program, and provide pedagogical lectures, science career counseling, and summer research internship opportunities to local high schools. To address the fact that Vermont is the only state in the country not offering a Ph.D. degree in physics, this award will allow the PI to design graduate courses on quantum computing, and spearhead a grassroots strategic planning committee to advance the development of graduate physics programs in the state.TECHNICAL SUMMARYThis CAREER award supports research and education aimed at developing high-performance computer simulation tools that will be used to determine the amount of entanglement that can be extracted from strongly interacting quantum liquids and gases. By quantifying this quintessentially nonclassical correlation property in experimentally accessible phases of quantum many-body systems, their feasibility and potential as an entanglement resource for quantum information processing protocols will be evaluated. In this project, the PI will focus on: i) providing quantitative comparisons with nascent experimental measurements of the entanglement entropy across the Mott insulator to superfluid transition of ultracold atoms in optical lattices, aiding in the design of future searches, ii) discovering the amount of operational entanglement in superfluid helium-4, a tabletop macroscopic quantum phase, iii) exploring entanglement scaling in systems with long-range interactions and deformed spatial boundaries, which have implications for the discovery of universal, and potentially transformative, emergent physical phenomena. The quantum Monte Carlo algorithms and open-source software developed during this CAREER project will allow for the measurement and optimization of quantum entanglement in a large class of ab initio Hamiltonians describing interacting particles in the spatial continuum. These capabilities may contribute to accelerating the design and construction of next-generation quantum technologies. All software developed as part of this project will be made available to the community on public repositories.In tandem with the research projects, the PI will drive increased enrollment in post-secondary science programs at the University of Vermont by engaging with a diverse group of high-school students, with a focus on students from low-income families. The PI will participate in the Upward Bound college preparation program, and provide pedagogical lectures, science career counseling, and summer research internship opportunities to local high schools. To address the fact that Vermont is the only state in the country not offering a Ph.D. degree in physics, this award will allow the PI to design graduate courses on quantum computing, and spearhead a grassroots strategic planning committee to advance the development of graduate physics programs in the state.