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Xing, YZ; Xu, GO; Yang, YT; Xing, YZ , Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China.
Spatio-temporal evolution of initial coherent state under the action of quantum integrable and nonintegrable systems
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
KeywordMechanics
AbstractAccording 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.
2000
ISSN0253-6102
Volume34Issue:3Pages:531-540
Subject AreaPhysics
Indexed BySCI
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/12892
Collection理论物理所科研产出_SCI论文
Corresponding AuthorXing, YZ , Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China.
Recommended Citation
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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