We study the behavior of ultracold bosonic gases in the critical region above the Bose-Einstein condensation in the presence of an artificial magnetic field, Bart. We show that the condensate fluctuations above the critical temperature Tc cause the fluctuational susceptibility, χ fl , of a uniform gas to have a stronger power-law divergence than in an analogous superconducting system. Measuring such a divergence opens new ways of exploring critical properties of ultracold gases and an opportunity of an accurate determination of Tc. We describe a method of measuring χ fl which requires a constant gradient in Bart and suggest a way of creating such a field in experiment.PACS numbers: 03.75.Hh Amongst intensive simulation of condensed-matter effects in cold atomic gases (see [1][2][3] for reviews), considerable attention was focused both on similarities and on striking differences in properties of superconducting systems on the one hand and ultra-cold Bose systems on the other (see [4] for review). Yet, the impact of fluctuations of the condensate order parameter above a critical temperature T c remains to be observed in atomic gases.In the vicinity of T c , i.e. for |τ | 1 where τ ≡ T /T c −1 is a reduced temperature, superconductivity can be described within the Ginzburg-Landau mean-field (MF) theory [5]. Its tremendous success for conventional clean superconductors is based on irrelevancy of the fluctuations for all achievable temperatures due the smallness of the Ginzburg number, Gi ∼ 10 −12 ÷10 −14 . Here the Ginzburg number Gi defines the temperature interval, |τ | Gi, where fluctuational effects dominate [6]. However, Gi is much larger in dirty superconductors so that temperatures τ ∼ Gi become attainable. In the temperature interval Gi τ 1 the MF results still dominate but fluctuational corrections become observable and lead to a sharp power-law τ -dependence of conductivity [7] and magnetic response [8] above T c . The observations made in Refs. [7,8] were in excellent agreement with perturbative predictions by Aslamazov and Larkin, Maki, and Thompson [9,10].No similar observations exist for gases of cold bosons where analogs of the magnetic susceptibility and conductivity are not readily available for measurements. On the other hand, the Ginzburg number Gi 1 for a typical dilute cold bosonic gas: although it is proportional to a small gas parameter, the numerical coefficient is large, see Eq. (6) below. This makes the order-parameter fluctuations above T c strong and their effects potentially observable.In this Letter we analyze the fluctuational contribution, χ fl , to the susceptibility of a cold bosonic cloud in an artificial magnetic field, B art , and suggest how to measure it. Up to now experimental studies of properties of the BEC phase transition were mostly aimed at the divergent correlation length [11,12]. Studying experimentally the critical susceptibility would allow one to measure another critical exponent thus building a more comprehensive picture of the phase transition.We show that th...