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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、美国和印度有成员调查员。在犹他州大学，日本成员与Sutherland教授讨论了具有长程相互作用的量子系统，这种相互作用的衰减与距离的平方成反比，即1/r D12 D1。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，并与吴教授讨论了分数排除统计。1999年12月，仓本和川上前往印度，并在钦奈数学科学研究所逗留。他们与Murthy教授和Shankar教授讨论了具有长程相互作用的量子自旋链。在班加罗尔，仓本和川上与Shastry教授就可积量子模型和量子自旋模型进行了广泛的讨论，但遇到了挫折。1999年10月，Sutherland教授来到日本，在仙台和关西地区停留了两周。在此期间，他与仓本和川上进行了详细的讨论。在仙台、大坂、京都等地为非专业人士作了讲座。通过两年的工作，我们在量子自旋链、自旋梯和关联电子系统的系统研究方面取得了实质性进展。我们将继续我们的联合研究，包括实现20年前Shastry和Sutherland的开创性想法的实际二维自旋系统。