Time-dependent condensation of bosonic potassium

Abstract

We calculate the time-dependent formation of Bose--Einstein condensates (BECs) in potassium vapours based on a previously derived exactly solvable nonlinear boson diffusion equation (NBDE). Thermalization following a sudden energy quench from an initial temperature $T_{\mathrm{i}}$ to a final temperature $T_{\mathrm{f}}$ below the critical value and BEC formation are accounted for using closed-form analytical solutions of the NBDE. The time-dependent condensate fraction is compared with available ${}^{39}$K data for various scattering lengths.

8 pages, 3 figures

References in corpus (4)

• Potassium ground state scattering parameters and Born-Oppenheimer potentials from molecular spectroscopy
• Solving a nonlinear analytical model for bosonic equilibration
• Time-dependent condensate fraction in an analytical model
• Nonlinear diffusion of fermions and bosons

Cited by in corpus (5)

• Nonlinear diffusion of fermions and bosons
• Partial Ly$\alpha$ thermalization in an analytic nonlinear diffusion model
• Time-dependent condensate formation in ultracold atoms with energy-dependent transport coefficients
• Exact solution of the nonlinear boson diffusion equation for gluon scattering
• Dynamic control of the Bose-Einstein-like condensation transition in scalar active matter