Time-dependent condensate fraction in an analytical model
A. Simon, G. Wolschin
TL;DR
This paper presents an analytical model for the time evolution of condensate fraction and entropy during evaporative cooling of ultracold atoms, matching experimental data for Na-23.
Contribution
It introduces an analytical solution to the nonlinear boson diffusion equation including boundary conditions, providing a new approach to modeling condensate dynamics.
Findings
The model accurately predicts the time-dependent condensate fraction.
The entropy evolution during cooling aligns with experimental observations.
Applicable to ultracold atomic systems like Na-23.
Abstract
We apply analytical solutions of a nonlinear boson diffusion equation (NBDE) that include boundary conditions at the singularity to calculate the time evolution of the entropy during evaporative cooling of ultracold atoms, and the time-dependent condensate fraction. For suitable initial conditions it is found to agree with available data on Na-23.
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