Collaborative Research: Unitary Qubit Lattice Algorithms for Quantum Turbulence with Non-Abelian Vortices

该项目将通过扩展晶格玻尔兹曼和晶格气体算法中使用的思想，追求单一量子比特晶格算法（QULA）的发展，以解决非线性物理中的问题。标量二维和三维玻色-爱因斯坦凝聚体（BEC）的QULA已经为连续统哈密顿量的意外行为提供了新的信息。这个项目的主要推力将是检查自旋- bec量子湍流中的能量谱级联，其中流动涉及阿贝尔和非阿贝尔涡旋。这样的旋量量子湍流还没有得到任何真实细节的模拟，特别是在3D中，而这里开发的新算法可以被视为非线性物理的介观模型。这项研究也有望对等离子体和空间物理应用产生深远的影响，因为QULA将允许研究磁流体动力学湍流和磁重联。QULA算法显然是单一的，可以很容易地编码到未来的量子计算机上。该项目的广泛影响包括培养未来的劳动力，使研究生和本科生有机会在一个重要的科学探究领域学习和工作。学生将获得使用高性能计算平台的实践经验，因为QULA可以在现代超级计算机上进行理想的扩展，并且可以扩展到数十万个核心。

This project will pursue the development of unitary qubit lattice algorithms (QULA) to solve problems in nonlinear physics by extending ideas used in lattice Boltzmann and lattice gas algorithms. QULA for scalar 2D and 3D Bose-Einstein condensates (BEC) have already provided new information on the unexpected behavior of continuum Hamiltonians. The major thrust of this project will be to examine energy spectral cascades in spinor-BEC quantum turbulence where the flow involves both Abelian and non-Abelian vortices. Such spinor quantum turbulence has yet to be simulated in any real detail, particularly in 3D, and the novel algorithms developed here can be viewed as a mesoscopic model for nonlinear physics. This research is also expected to have a profound impact on plasma and space physics applications, as QULA will allow for the study of magneto-hydrodynamics turbulence and magnetic reconnection. The QULA algorithms are manifestly unitary and can be readily encoded onto future quantum computers.The broad impacts of this project include the training of the workforce of the future, with graduate and undergraduate students having the opportunity to learn and work in an important field of scientific inquiry. Students will acquire hands-on experience on the use of high-performance computational platforms, as QULA scale ideally on modern supercomputers and the scaling was tested up to several hundreds of thousands of cores.