Relationship between the atomic inversion and Wigner function for multimode multiphoton Jaynes–Cummings model

2004/05/25 by Faisal A. A. El-Orany, Faisal Aly Aly El-Orany
Computer Science · Physics and Astronomy · #Laser-Matter Interactions and Applications #Quantum Information and Cryptography #Quantum optics and atomic interactions #quant-ph

paper · pdf · doi:10.1088/0305-4470/37/23/013

published as J. Phys. A: Math. Gen. 37 (2004) 6157-6171 · 19 pages, 4 figures

openalex publication_date 2004/05/25 · arxiv created 2007/08/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

In this paper we consider the multimode multiphoton Jaynes–Cummings model, which consists of a two-level atom, initially prepared in an excited atomic state, interacting with N modes of electromagnetic field prepared in general pure quantum states. For this system we show that under certain conditions the evolution of the Wigner function at the phase-space origin provides direct information on the corresponding atomic inversion. This relation is also valid even if the system includes Kerr-like nonlinearity, Stark shift effect, different types of initial atomic states as well as moving atoms. Furthermore, based on this fact we discuss for the single-mode case the possibility of detecting the atomic inversion by means of techniques similar to those used for the Wigner function.

Citations

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