Theoretical Studies of Classical and Quantum Coherent Vortex States in Arrays of Mesoscopic Superconductors

介观超导体阵列中经典和量子相干涡旋态的理论研究

• 批准号: 9521845
• 负责人: Jorge Jose
• 金额: --
• 依托单位: Northeastern University
• 依托单位国家: 美国
• 项目类别: Continuing grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-07-01 至 1999-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9521845&HistoricalAwards=false
• 关键词: Theoretical; Studies; Classical; Quantum; Coherent

9521845 Jose A variety of systems will be investigated theoretically which impact modern condensed matter physics. Problems to be studied relate to glassy behavior in superconductors, macroscopic quantum coherent phenomena, superconductor- insulator transitions, and coherent oscillatory vortex patterns. These problems can be studied experimentally in a unique OcleanO way in artificially fabricated Josephson junction arrays. Different types of collective vortex ordering in these arrays will be investigated both in the classical and, mostly, in the quantum regime. The dynamic response of Josephson junction arrays will be modeled by a Langevin equation for the phases of the superconducting order parameter and by MaxwellOs equations for the self- induced fields. Research will also be extended on the response of mesoscopic systems with specially designed geometries that have chaotic solutions in the classsical limit. These theoretical problems are motivated by experiments and by the desire to expand our understanding of previous theoretical predictions for the existence of novel coherent vortex states. The theoretical techniques to be used include large scale classical and quantum Monte Carlo simulations, renormalization group techniques, classical dynamical systems theory, many-body techniques, path integral methods, pseudo-spectral methods, and other theoretical approaches deemed necessary. Algorithms will be developed for serial, vector and parallel platforms. The results of this study are likely to impact the field of quantum effect electronics. %%% A theoretical and computational study will be made of strongly interactiong microelectronic arrays. These arrays are excellent models for a variety of physical systems including high temperature superconductors. They also exhibit chaotic behavior in certain regimes. Besides possessing model behavior, these arrays also serve as actual devices which incorporate quantum effects at the microelectronic scal e. ***

9521845何塞各种系统将从理论上研究影响现代凝聚态物理学。 待研究的问题涉及超导体的玻璃态行为、宏观量子相干现象、超导体-绝缘体转变和相干振荡涡旋模式。 这些问题可以在人工制作的约瑟夫森结阵列中以独特的OcleanO方式进行实验研究。 这些阵列中不同类型的集体涡旋排序将在经典和大多数情况下，在量子制度进行研究。 约瑟夫森结阵列的动态响应将由超导序参量相位的朗之万方程和自感场的麦克斯韦方程来模拟。 研究还将扩展到具有特殊设计的几何形状的介观系统的响应，这些几何形状在经典极限中具有混沌解。 这些理论问题的动机是实验和愿望，以扩大我们的理解以前的理论预测存在的新的相干涡旋状态。 将使用的理论技术包括大规模经典和量子蒙特卡罗模拟，重整化群技术，经典动力学系统理论，多体技术，路径积分方法，伪谱方法，和其他认为必要的理论方法。 算法将开发串行，矢量和并行平台。 这项研究的结果可能会影响量子效应电子学领域。 对强相互作用的微电子阵列进行了理论和计算研究。 这些阵列是包括高温超导体在内的各种物理系统的优秀模型。 它们在某些状态下也表现出混沌行为。 除了具有模型行为外，这些阵列还可以作为在微电子尺度上结合量子效应的实际器件。 ***