Nonclassical properties of the integrability condition of the time-dependent SU(2) quantum system

M. Sebawe Abdalla, Eied Khalil

Research output: Contribution to journalJournal articlepeer-review

2 Scopus citations

Abstract

In this paper, we treat the problem of the multi-photon Tavis-Cummings classically, where the effect of time-dependence takes place. Under certain integrability conditions the time-dependent wave function in the Schrödinger picture is obtained. Some statistical properties of the system are discussed based on the solution for the equations of motion in the Heisenberg picture. Using the atomic coherent state as a basis, the phenomenon of squeezing is observed in the quadrature variances Fx and F y; however, it was pronounced in the quadrature Fy. The phenomenon of squeezing is also reported for the usual atomic state case where squeezing is only observed in the first quadrature Fx. An examination of the correlation function using the atomic state showed us that the system is sensitive to variation in the integrability parameter β. The nonclassical effect is also found to be pronounced for small values of the parameter β.

Original languageEnglish
Article number045010
JournalPhysica Scripta
Volume84
Issue number4
DOIs
StatePublished - Oct 2011
Externally publishedYes

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