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 JOSE将在理论上对各种系统进行研究，从而影响现代冷凝物质物理。 要研究的问题与超导体，宏观量子相干现象，超导体绝缘体跃迁和相干振荡涡流模式有关。 这些问题可以在人工制作的约瑟夫森交界阵列中以独特的Ocleano方式进行实验研究。 这些阵列中的不同类型的集体涡流排序将在经典和大部分量子制度中进行研究。 约瑟夫森连接阵列的动态响应将以langevin方程为模型，用于超导顺序参数的相位，以及由自诱导场的Maxwellos方程进行建模。 研究还将扩展到具有专门设计的几何形状的介观系统的响应，这些几何形状具有混乱的解决方案。 这些理论问题是由实验和渴望扩展我们对新型相干涡流状态存在的先前理论预测的理解的愿望的动机。 要使用的理论技术包括大规模的经典和量子蒙特卡洛模拟，翻新的组技术，经典动力学系统理论，多体技术，路径积分方法，伪谱方法以及其他认为必要的理论方法。 将为串行，向量和并行平台开发算法。 这项研究的结果可能会影响量子效应电子产品的领域。 %%％A理论和计算研究将由强烈相互作用G微电子阵列进行。 这些阵列是各种物理系统（包括高温超导体）的绝佳模型。 他们在某些制度中也表现出混乱的行为。 除具有模型行为外，这些阵列还用作实际设备，这些设备在微电子量表e上包含量子效应。 ***