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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.
2000
发表期刊COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN0253-6102
卷号34期号:3页码:531-540
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.
部门归属Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China; Lanzhou Univ, Dept Modern Phys, Lanzhou 730001, Peoples R China; Fujian Normal Univ, Dept Phys, Fuzhou 350007, Peoples R China; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
关键词Mechanics
学科领域Physics
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收录类别SCI
WOS记录号WOS:000165285100020
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12892
专题1978-2010年知识产出
通讯作者Xing, YZ , Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China.
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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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