Spatio-temporal evolution of initial coherent state under the action of quantum integrable and nonintegrable systems | |
Xing, YZ; Xu, GO; Yang, YT; Xing, YZ , Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China. | |
刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
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2000 | |
卷号 | 34期号:3页码:531-540 |
关键词 | Mechanics |
ISSN号 | 0253-6102 |
英文摘要 | According to the exactly formulated concepts of quantum integrability and nonintegrability, an initial coherent state \Phi (0)(gamma)] evolving under the action of an integrable Hamiltonian having the same dynamical symmetry is expressed as an analytical function of gamma and t. The expectation values of various dynamical variables should be expressed as correlated analytical functions of gamma and t. Thus, the general characters of initial coherent state would be maintained during the spatio-temporal evolution under the action of such a system even if the wavepacket is slightly distorted. In contrast, when the integrability condition is destroyed, these features will be lost during the evolution. This theoretical prediction is illustrated with numerical results computed for the two-level Lipkin model with a double-well potential and dynamical explanations are given. And the Eherenfest time is verified with this model. |
学科主题 | Physics |
URL标识 | 查看原文 |
WOS记录号 | WOS:000165285100020 |
公开日期 | 2012-08-29 |
内容类型 | 期刊论文 |
源URL | [http://ir.itp.ac.cn/handle/311006/12892] ![]() |
专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
通讯作者 | Xing, YZ , Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China. |
推荐引用方式 GB/T 7714 | Xing, YZ,Xu, GO,Yang, YT,et al. Spatio-temporal evolution of initial coherent state under the action of quantum integrable and nonintegrable systems[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2000,34(3):531-540. |
APA | Xing, YZ,Xu, GO,Yang, YT,&Xing, YZ , Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China..(2000).Spatio-temporal evolution of initial coherent state under the action of quantum integrable and nonintegrable systems.COMMUNICATIONS IN THEORETICAL PHYSICS,34(3),531-540. |
MLA | Xing, YZ,et al."Spatio-temporal evolution of initial coherent state under the action of quantum integrable and nonintegrable systems".COMMUNICATIONS IN THEORETICAL PHYSICS 34.3(2000):531-540. |
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