Solutions of the Gross-Pitaevskii equation in two dimensions
M. D. Lee, S. A. Morgan
TL;DR
This paper provides numerical solutions to the two-dimensional Gross-Pitaevskii equation for bosons in harmonic traps, highlighting the sensitivity of results to the form of the energy-dependent coupling parameter.
Contribution
It introduces numerical methods for solving the 2D Gross-Pitaevskii equation with an energy-dependent coupling, emphasizing the impact of coupling parameter choices.
Findings
Results are highly sensitive to the form of the coupling parameter.
Numerical solutions vary significantly with different coupling parameter models.
The study underscores the importance of accurate coupling parameter modeling in 2D Bose gases.
Abstract
In two dimensions the Gross-Pitaevskii equation for a cold, dilute gas of bosons has an energy dependent coupling parameter describing particle interactions. We present numerical solutions of this equation for bosons in harmonic traps and show that the results can be quite sensitive to the precise form of the coupling parameter that is used.
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