High Accuracy, Broadband Simulation of Complex Structures with Quantum Effects, Parallel Fast Algorithm, and Integral Equation Domain Decomposition

具有量子效应的复杂结构的高精度、宽带模拟、并行快速算法和积分方程域分解

• 批准号: 1609195
• 负责人: Weng Chew
• 金额: $ 36万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-06-01 至 2018-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1609195&HistoricalAwards=false
• 关键词: Accuracy; Broadband; Simulation; Complex; Structures

Even though classical electromagnetic theory has been around for over 150 years, its enduring legacy has not diminished. In fact, it finds its way into so many modern day technologies that it is indispensable in the modern world such as in wireless communications, computer technologies, bio-medical engineering, and big data transfer. Two concepts in electromagnetics have emerged in recent past. First is the use of computers and mathematical methods that have appeared in the 20th century to solve highly complex electromagnetics, giving rise to the field of computational electromagnetics (CEM). Second is the study of quantum effects and quantum theory (that also appeared in the 20th century) in electromagnetic systems giving rise to fields like quantum optics that can potentially impact information, communications, and computation technologies such as quantum information, communication, encryption, and computation. This project will combine the use of computational electromagnetics knowledge to understand quantum systems that interact with electromagnetic fields. This will engender the development of future quantum technologies that open new gateways to previously untapped possibilities.This project will develop computational tools to meet the demands of emerging technologies in nano chip, nano optics, and quantum optics. The modeling of electromagnetic and quantum effects in nanostructures has become increasingly important due to the miniaturization of transistors, optical structures, and quantum information systems. But the exorbitant complexity and computational cost of modeling such problems have precluded their precise solution so far. The objective of this proposal is to develop fast computational algorithms that can capture circuit physics, wave physics and quantum effects in order to effectively simulate circuit-quantum electrodynamics (C-QED) systems. This will entail the development of multi-scale, multi-physics solvers while incorporating quantum effects through the use of the dyadic Green?s function. The resulting codes will be validated against experimental results. If successful, this research will open up a new frontier on how C-QED systems can be analyzed using fast, stable and accurate computational algorithms. This in turn would enable new discoveries in C-QED that could impact quantum computing and quantum information processing. Extensive educational outreach activities are planned including the involvement of K-12 and undergraduate students, and the development of visualization tools and video lectures to disseminate results to the public.

尽管经典电磁理论已经存在了150多年，但其持久的遗产并未减少。 实际上，它进入了如此多的现代技术，以至于在现代世界中是必不可少的，例如在无线通信，计算机技术，生物医学工程和大数据传输中。 最近，电磁学方面出现了两个概念。 首先是使用20世纪出现的计算机和数学方法来解决高度复杂的电磁学，从而产生了计算电磁学领域（CEM）。 其次是对电磁系统中量子效应和量子理论（也出现在20世纪）的研究，从而引起了诸如量子光学诸如量子光学诸如量子，通信和计算技术（例如量子信息，通信，加密，计算和计算）等领域。 该项目将结合使用计算电磁知识来了解与电磁场相互作用的量子系统。 这将使未来的量子技术开发，从而为以前未开发的可能性开放新的门户。该项目将开发计算工具，以满足纳米芯片，纳米光学和量子光学的新兴技术的需求。 由于晶体管，光学结构和量子信息系统的微型化，纳米结构中电磁和量子效应的建模变得越来越重要。但是，建模此类问题的高昂复杂性和计算成本已经排除了到目前为止的精确解决方案。 该提案的目的是开发快速计算算法，以捕获电路物理，波浪物理和量子效应，以有效地模拟电路量子电动力学（C-QQED）系统。 这将需要开发多尺度的多物理求解器，同时通过使用二元绿色的功能结合量子效应。 结果代码将根据实验结果进行验证。 如果成功的话，这项研究将为如何使用快速，稳定和准确的计算算法开辟一个新的边界。 反过来，这将使C-AQED中的新发现可能影响量子计算和量子信息处理。 计划进行广泛的教育外展活动，包括K-12和本科生的参与，以及开发可视化工具和视频讲座，以向公众传播结果。