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

9521845何塞将从理论上研究影响现代凝聚态物理的各种系统。需要研究的问题涉及超导体中的玻璃化行为、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一种独特的Olean O方式进行实验研究。这些阵列中不同类型的集体涡旋有序将在经典和主要是在量子区域中被研究。约瑟夫森结阵列的动态响应可用超导序参数的朗之万方程和自感应场的Maxwell-OS方程来模拟。还将扩展对介观系统的响应的研究，这些系统具有特殊设计的几何结构，其混沌解在类极限内。这些理论问题的动机是实验和扩大我们对以前关于存在新的相干涡旋态的理论预测的理解的愿望。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、经典动力系统理论、多体技术、路径积分方法、伪谱方法以及其他被认为是必要的理论方法。将为串行、矢量和并行平台开发算法。这项研究的结果可能会对量子效应电子学领域产生影响。将对强相互作用的微电子阵列进行理论和计算研究。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。在某些政权中，他们也表现出混乱的行为。除了具有模型行为外，这些阵列还可用作在微电子尺度上结合量子效应的实际设备。

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. ***