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VOLUME 101 (2015) | ISSUE 6 | PAGE 408
Origin of nonlinear contribution to the shift of the critical temperature in atomic Bose-Einstein condensates
DOI: 10.7868/S0370274X1506003X
Abstract
We discuss a possible origin of the experimentally observed nonlinear contribution to the shift Δ Tc=Tc-Tc0 of the critical temperature Tc in an atomic Bose-Einstein condensate (BEC) with respect to the critical temperature Tc0 of an ideal gas. We found that accounting for a nonlinear (quadratic) Zeeman effect (with applied magnetic field closely matching a Feshbach resonance field B0) in the mean-field approximation results in a rather significant renormalization of the field-free nonlinear contribution b2, namely \Delta T_{c}/T_{c}^{0}\simeq b_{2}^{\ast }(a/\lambda _{T})^{2} (where a is the s-wave scattering length, λ T is the thermal wavelength at Tc0) with b_{2}^{\ast }=\gamma ^{2}b_{2} and γ =γ (B0). In particular, we predict b_{2}^{\ast }\simeq 42.3 for the B_{0}\simeq 403 G resonance observed in the 39K BEC.