Emission Spectrum Property of Modulated Atom-Field Coupling System

Abstract

The emission spectrum of a two-level atom interacting with a single mode radiation field in the case of periodic oscillation coupling coefficient is investigated. A general expression for the emission spectrum is derived. The numerical results for the initial field in pure number stare are calculated. It is found that the effect of the coupling coefficient modulation on the spectral structure is very obvious in the case of a low modulation frequency and larger amplitude when the initial field is vacuum, which is potentially useful for exploring a modulated light source.

Cooperative emission spectra as an efficient key probe of qubits pair entanglement along with field state tomography: an effective response to nonlinearity and classical drive power

“…Indeed, for an interaction time; T, Γ-bandwidth of the detector and a probe eld with ν frequency, the emission spectrum is given by the Fourier transform of the dipoledipole correlation function weighted by the detector function Ψ 1 (τ )|σ + (0)σ − (0)|Ψ 1 (t) + Ψ 4 (τ )|σ + (0)σ − (0)|Ψ 4 (t) , where |Ψ s (t) ; s = 1, 4 are given by equation ( 16) and σ + (0) and σ − (0) are the atomic raising and lowering operator in Schrödinger picture respectively. To implement the calculations, let us start from the physical expression of transient spectrum as [12,99,100] Recalling the complex amplitudes, equations ( 32)-( 34) and performing the integrations, the spectrum in the nal expression is given by…”

“…Already, the emission spectrum of atoms in a cavity is one of the old simplest and yet most fruitful case of light-matter interaction. Attempts to predict the spectrum of the light scattered by an isolated atom illuminated by an electromagnetic eld tuned accurately to resonance with a two-level transition, was the subject of a large amount of theoretical [9][10][11][12][13][14][15][16][17], and experimental [18][19][20][21][22] work through the past two decades. However, due to the progress in controlling light-matter interaction, the resolution has to be taken to provide an unambiguous answer to this problem still needs yet hard studies.…”

“…up to this step, it is not dif cult to obtain we arrive at the full system density matrix as in equation (15) with |Ψ s (t) are given explicity with equation (16).…”