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Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B

On condensation for an interacting boson system

Antonio Coniglio A, M. Marinaro

Published Apr 1, 1967• 32 citations
Publisher
DOI
10.1007/bf02712190

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We study the interaction effects on the condensates by considering a model of one-dimensional bosons. The power law type external potential allows for the formation of a condensate in these systems. Using a density-functional theory type formalism we obtain an equation describing the condensate wave function in the limit of very strong interactions between the bosons. The properties of the condensate in the model system with strong interactions are investigated. The equivalence of strongly interacting bosons to noninteracting spinless fermions is demonstrated.
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We study the Bose-Einstein condensation phenomenon in a two-dimensional (2D) system of bosons subjected to a harmonic-oscillator-type confining potential. The interaction among the 2D bosons is described by a \ensuremath{\delta} function in configuration space. Solving the Gross-Pitaevskii equation within the two-fluid model we calculate the condensate fraction, ground-state energy, and specific heat of the system. Our results indicate that interacting bosons have similar behavior to those of an ideal system for weak interactions.