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We study systems of a few charged bosons contained within a stronglyanisotropic harmonic trap. A detailed examination of the ground-statecorrelation properties of two-, three-, and four-particle systems is carriedout within the framework of the single-mode approximation of the transversecomponents. The linear correlation entropy of the quasi-1D systems is discussedin dependence on the confinement anisotropy and compared with a strictly 1Dlimit. Only at weak interaction the correlation properties depend strongly onthe anisotropy parameter.

Ground-state correlation properties of charged bosons trapped in strongly anisotropic harmonic potentials