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    Observation of recoil-induced resonances and electromagnetically induced absorption of cold atoms in diffuse light

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    In this paper we report an experiment on the observation of the recoil-induced resonances (RIR) and electromagnetically induced absorption (EIA) of cold Rb87 atoms in diffuse light. The pump light of the RIR and the EIA comes from the diffuse light in an integrating sphere, which also serves the cooling light. The probe light beam is a weak laser split from the cooling laser in order to keep the cooling and probe lasers correlated. We measured the RIR and the EIA signal varying with the detuning of the diffuse laser light, and also measured the temperature of the cold atoms at the different detunings. The mechanism of RIR and EIA in the configuration with diffuse-light pumping and laser probing is discussed, and the difference of nonlinear spectra of cold atoms between in diffuse-light cooling system and in optical molasses as well as in a magneto-optical trap (MOT) are studied.Comment: 9 pages, 6 figure

    Existence of solutions for fractional differential equations with three-point boundary conditions at resonance in Rn\mathbb{R}^n

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    In this paper, by applying the coincidence degree theory which was first introduced by Mawhin, we obtain an existence result for the fractional three-point boundary value problems in Rn\mathbb{R}^n, where the dimension of the kernel of fractional differential operator with the boundary conditions can take any value in {1,2,…,n}\{1,2,\ldots,n\}. This is our novelty. Several examples are presented to illustrate the result
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