Browsing by Subject "Low dimensional"

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    Density profile of a Bose-Einstein condensate inside a pancake-shaped trap: Observational consequences of the dimensional cross-over in the scattering properties
    (Elsevier Science B.V., 2002) Tanatar, Bilal; Minguzzi, A.; Vignolo, P.; Tosi, M. P.
    It is theoretically well known that two-dimensionality of the scattering events in a Bose-Einstein condensate introduces a logarithmic dependence on density in the coupling constant entering a mean-field theory of the equilibrium density profile, which becomes dominant as the s-wave scattering length gets larger than the condensate thickness. We trace the regions of experimentally accessible system parameters for which the cross-over between different dimensionality behaviors in the scattering properties may become observable through in situ imaging of the condensed cloud with varying trap anisotropy and scattering length.
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    Thermodynamic properties of harmonically trapped D-dimensional ideal gases within generalized exclusion statistics
    (Elsevier B.V., 2007) Sevinçli, S.; Tanatar, Bilal
    We consider an ideal gas trapped with harmonic potential and obeying the generalized exclusion statistics. We analytically calculate the density of states from which the thermodynamic properties of the gas are calculated for a general energy spectrum ε (p) = a ps in D-dimensional space. Internal energy and the specific heat as a function of temperature are evaluated numerically for different dimensions and energy-momentum dispersion relations. In particular, we show that the specific heat is independent of the statistical parameter g for the constant density of states regime which corresponds D = 1 and s = 2 for this system.