Open AccessRelations of classical-quantum correspondencein Dicke model
Author(s) -
Wang Yu-Bo,
Lijun Song,
Dong Yan,
Gai Yong-Jie
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.020302
Subject(s) - quantum entanglement , phase space , quantum chaos , physics , quantum , chaotic , statistical physics , basis (linear algebra) , bipartite graph , quantum mechanics , classical mechanics , quantum dynamics , mathematics , computer science , graph , geometry , discrete mathematics , artificial intelligence
Dicke model displays quantum chaotic dynamic properties in the non-rotating wave approximation. On the basis of properties of the classical phase space of Dicke model, we employ the one-to-many notion, namely, evolution from one point on the classical phase space to two initial coherent states. Then we obtain a good quantum phase space, which corresponds to the classical one, by using the method of averaging the statistical entangled values of two initial states in the evolution. The numerical computation shows that classical chaos can promote the origination of bipartite entanglement, and simultaneously, the average entanglement can be regarded as the signature of quantum chaos. A good classica-quantum correspondence can be obtained by using the average entanglement.