Nonlinear Jaynes–Cummings Model of Atom–Field Interaction

Author: S. Sivakumar¹

Source: International Journal of Theoretical Physics, Volume 43, Number 12, December 2004 , pp. 2405-2421(17)

Publisher: Springer

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Abstract:

Interaction of a two-level atom with a single mode of electromagnetic field including Kerr nonlinearity for the field and intensity-dependent atom-field coupling is discussed. The Hamiltonian for the atom-field system is written in terms of the generatorsof a closed algebra, which has SU(1,1) and Heisenberg–Weyl algebras as limitingcases. Eigenstates and eigenvalues of the Hamiltonian are constructed. With the field being in a coherent state initially, the dynamical behavior of atomic inversion, field statistics, and uncertainties in the field quadratures are studied. Appearance of nonclassical features during the evolution of the field is shown. Further, we explore the overlap of initial and time-evolved field states.

Keywords: Jaynes–Cummings model; atomic inversion; revivals; squeezing

Document Type: Research article

DOI: 10.1007/s10773-004-7707-2

Affiliations: 1: Technical Services (ROD), Indira Gandhi Centre for Atomic Research, Kalpakkam, 603 102, India, Email: siva@igcar.ernet.in

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