Matrix diagonalization and exact solution of the k-photon Jaynes-Cummings model

被引：4

作者：

Choreno, Enrique ^{[1
]}

Ojeda-Guillen, Didier ^{[2
]}

David Granados, Victor ^{[1
]}

机构：

[1] Inst Politecn Nacl, Escuela Super Fis & Math, Unidad Profes Adolfo Lopez Mateos, Ed 9, Mexico City 07738, DF, Mexico

[2] Inst Politecn Nacl, Escuela Super Computo, Av Juan Dios Batiz Esq,Av Migual Othon Mendizabal, Mexico City 07738, DF, Mexico

来源：

EUROPEAN PHYSICAL JOURNAL D | 2018年 / 72卷 / 08期

关键词：

COHERENT STATES; QUANTUM; PHASE; COLLAPSE;

D O I：

10.1140/epjd/e2018-90106-y

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We study and exactly solve the two-photon and k-photon Jaynes-Cummings models by using a novelty algebraic method. This algebraic method is based on the Pauli matrices realization and the tilting transformation of the SU(2) group and let us diagonalize the Hamiltonian of these models by properly choosing the coherent state parameters of the transformation. Finally, we explicitly obtain the energy spectrum and eigenfunctions for each model.

引用

页数：7

共 43 条

[1]

[Anonymous], 2003, THEORY NONCLASSICAL, DOI [10.1201/9781482288223, DOI 10.1201/9781482288223]

[2] ATOMIC COHERENT STATES IN QUANTUM OPTICS [J].