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Journal of Hebei North University

Effect of Driving Field on Squeezing Spectrum in Resonance Fluorescence

Shu-Guang Qi

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

The squeezed light has been applied widely in our life.We can get the quartered squeezing spectra from the resonance fluorescence of a two-level atom driven by a monochromatic field.It shows that the squeezing spectra will change markedly with the varieties of the intensity and the frequency of the driving field.The appearance of the squeezing on in-phase or on out-phase,and the degree of the squeezing,and the number of the squeezing modes are all controlled via changing the intensity and the frequency of the monochromatic driving field.

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The squeezed light has been applied widely in our life.We can get the quartered squeezing spectra from the resonance fluorescence of a two-level atom driven by a monochromatic field.It shows that the squeezing spectra will change markedly with the varieties of the intensity and the frequency of the driving field.The appearance of the squeezing on in-phase or on out-phase,and the degree of the squeezing,and the number of the squeezing modes are all controlled via changing the intensity and the frequency of the monochromatic driving field.
The quadrature squeezing spectra produced in the resonance fluorescence of a two-level atom driven by a strong coherent field and a weak amplitude-fluctuating field are investigated. For far-off-resonance and strong excitation, the resonance fluorescence exhibits two-mode squeezing around the Rabi sideband frequencies. Thus we have a source of two mode squeezing that is very easily frequency tuned simply by adjusting the generalized Rabi frequency. The presence of the strength of the stochastic process reduces the degree of squeezing obtainable. The quadrature squeezing spectra are also effected by the relative phase of the two fields.
Resonance fluorescence from a single two-level atom driven by a beam of squeezed light is studied in the weak field limit. We consider the situation where the atom is coupled to the ordinary vacuum and only a few field modes corresponding to the driving field are squeezed. The field produced by the degenerate optical parametric oscillator is used as the driving field. This driving field can be described in terms of two real independent Gaussian processes. Heisenberg equations of motion are solved in the steady-state, and analytic expressions for the fluorescent light intensity and the spectrum of fluorescent light are derived. We also consider photon statistics of fluorescent light. In particular, squeezing, antibunching, and sub-Poissonian statistics of fluorescent photons are discussed and analytic expressions for the quadrature variance and the two-time intensity correlation function are presented. Contrary to the case of coherent excitation the second-order intensity correlation function does not factorize.
The polarization-dependent resonance-fluorescence spectra of a bichromatically driven four-level atom are studied. It is shown that very narrow spectral lines can occur in the incoherent part of the spectra for polarization directions that are different from that of the driving field. Squeezing properties of the fluorescent light are also investigated. The degree of squeezing depends on the polarization direction and reaches a maximum of remarkably 5656%.56
The quadrature squeezing spectra produced in the resonance fluorescence of a two-level atom are investigated, including the effects of a finite laser bandwidth due to phase diffusion. For resonant excitation at low intensities, the fluorescence field exhibits narrow bandwidth squeezing in the out-of-phase quadrature, centered at the laser frequency. Otherwise, squeezing occurs only in the in-phase quadrature. Specifically, for slightly off-resonance and weak excitation, the squeezing still centers at the laser frequency, with a finite bandwidth of the order of $\ensuremath{\gamma}.$ More importantly, for far-off-resonance and strong excitation, the resonance fluorescence exhibits two-mode squeezing around the Rabi sideband frequencies. Thus we have a source of two-mode squeezing that is very easily frequency tuned simply by adjusting the generalized Rabi frequency. The presence of a laser linewidth substantially reduces the degree of squeezing obtainable. The fluorescence shows no squeezing at all when the laser linewidth is greater than the atomic spontaneous emission linewidth.
Resonance fluorescence from a single two-level atom driven by a beam of squeezed light is studied in the weak-field limit. We consider the situation where the atom is coupled to the ordinary vacuum and only a few field modes corresponding to the driving field are squeezed. The field produced by the degenerate optical parametric oscillator is used as the driving field. Heisenberg equations of motion are solved in the steady-state and analytic expressions for the fluorescent-light intensity and the spectrum of fluorescent light are derived. We also consider photon statistics of fluorescent light. In particular, squeezing, antibunching, and sub-Poissonian statistics of fluorescent photons are discussed, and analytic expressions for the quadrature variance and the two-time intensity correlation function are presented. Contrary to the case of coherent excitation, the second-order intensity correlation function does not factorize. This and other differences are discussed, and curves are presented to illustrate the behavior of various quantities. We also present results for thermal excitation of the atom.