Exact dynamics of low-dimensional quantum system - regular and disordered cases -

低维量子系统的精确动力学-规则和无序情况-

基本信息

批准号：
10044053
负责人：
KURAMOTO Yoshio
金额：
$ 1.92万
依托单位：
TOHOKU UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (B).
财政年份：
1998
资助国家：
日本
起止时间：
1998 至 1999
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10044053/
关键词：
1 rィイD12ィエD1 interaction conformal field theory exact solution fractional statistics quantum Hall effect random matrix Bethe ansatz solvable model

项目摘要

This project has member investigators in Japan, United States and India. In University of Utah, Japanese members discussed with Prof. Sutherland on quantum system with a long-range interaction which decays as inverse square of the distance, i.e. 1/rィイD12ィエD1. In addition to Prof. Sutherland, Japanese members discussed with Prof. Efros and Prof. Raikh on correlation effects in low-dimensional systems, and with Prof. Wu on fractional exclusion statistics.In December 1999, Kuramoto and Kawakami went to India and stayed in Institute of Mathematical Science in Chennai. They discussed with Prof. Murthy and Prof. Shankar on quantum spin chain with long-range interactions. In Bangalore, Kuramoto and Kawakami made extensive discussion with Prof. Shastry on integrable quantum models and quantum spin models with frustration.In October 1999, Prof. Sutherland came to Japan and stayed for two weeks at Sendai and in Kansai area. During this stay he made detailed discussion with Kuramoto and Kawakami. He gave lectures in Sendai, Osaka and Kyoto for audience including nonspecialists.By this project for two years, we made substantial progress in systematic study on quantum spin chains, spin ladders and correlated electron systems. We shall continue on our joint research including the actual two-dimensional spin systems which realize the pioneering idea of Shastry and Sutherland 20 years ago.

该项目在日本，美国和印度有调查人员。在犹他大学，日本成员与萨瑟兰教授在量子系统上讨论了远距离互动，该互动的距离为距离反向平方，即1/RII D12。除Sutherland教授外，日本成员还与EFROS教授和Raikh教授讨论了低维系统中的相关效应，以及Wu教授对分数排除统计的统计。在1999年12月，Kuramoto和Kawakami在钦奈的数学科学研究所中留在印度，并留在印度。他们与Murthy教授和Shankar教授在量子自旋链上与远程相互作用进行了讨论。在班加罗尔，库拉莫托和川木与Shastry教授进行了广泛的讨论，讨论了令人沮丧的整合量子模型和量子旋转模型。在1999年10月，萨瑟兰教授来日本，在仙台和在关西地区呆了两个星期。在此期间，他与Kuramoto和Kawakami进行了详细的讨论。他在仙台，大阪和京都为包括非专业人士的观众提供了讲座。通过这个项目两年来，我们在系统的量子旋转链，旋转梯子和相关电子系统的系统研究中取得了重大进展。我们将继续进行联合研究，包括实际的二维旋转系统，这些系统实现了20年前的Shastry和Sutherland的开创性思想。