Bose-Einstein condensation in a two-dimensional, trapped,interacting gas
M. Bayindir, B. Tanatar (Bilkent University, Turkey)

TL;DR
This paper investigates Bose-Einstein condensation in a two-dimensional trapped bosonic system with interactions, analyzing how weak interactions influence condensate properties using the Gross-Pitaevskii equation.
Contribution
It provides a detailed analysis of interacting 2D bosons in a harmonic trap, highlighting similarities to ideal systems under weak interactions.
Findings
Interacting bosons exhibit behavior similar to ideal systems at weak interactions.
Calculated condensate fraction, ground state energy, and specific heat.
Interaction effects become significant at stronger interactions.
Abstract
We study Bose-Einstein condensation phenomenon in a two-dimensional (2D) system of bosons subjected to an harmonic oscillator type confining potential. The interaction among the 2D bosons is described by a 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.
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