Exact solvability, non-integrability, and genuine multipartite entanglement dynamics of the Dicke model. (16th April 2015)

• Record Type: Journal Article
• Authors: He, Shu; Duan, Liwei; Chen, Qing-Hu
• Is Part Of: New journal of physics. Volume 17:Number 4(2015:Apr.)
• Publication Date: 2015-04-16
• Subjects: Dicke model -- exact solvability -- multipartite entanglement dynamics; 03.65.Fd -- 42.50.Ct -- 64.70.Tg; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1367-2630/17/4/043033
• Languages: English
• ISSNs: 1367-2630

Abstract

Abstract: In this paper, the finite-size Dicke model of arbitrary number of qubits is solved analytically in a unified way within extended coherent states. For the or Dicke models ( k is an integer), the G -function, which is only an energy dependent determinant, is derived in a transparent manner. The regular spectrum is completely and uniquely given by stable zeros of the G -function. The closed-form exceptional eigenvalues are also derived. The level distribution controlled by the pole structure of the G -functions suggests non-integrability for model at any finite coupling in the sense of recent criteria found in the literature. A preliminary application to the exact dynamics of genuine multipartite entanglement in the finite- N Dicke model is presented using the obtained exact solutions.