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This article is cited in 3 scientific papers (total in 3 papers)
CONDENSED MATTER
Origin of nonlinear contribution to the shift of the critical
temperature in atomic Bose–Einstein condensates
S. Sergeenkova, F. Brisceseba, M. Gretherc, M. de Llanod a Departamento de Física, CCEN, Universidade Federal da Paraíba, Cidade Universitária, 58051-970 Joao Pessoa, PB, Brazil
b Istituto Nazionale di Alta Matematica Francesco Severi, Gruppo Nazionale di Fisica Matematica, 00185 Rome, EU
c Facultad de Ciencias, Universidad Nacional Autónoma de México, 04510 México, DF, México
d Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, A. P. 70-360, 04510 México, DF, México
Abstract:
We discuss a possible origin of the experimentally observed nonlinear contribution to the shift $\Delta T_{c}=T_c-T_{c}^{0}$ of the critical temperature $T_{c}$ in an atomic Bose–Einstein condensate (BEC) with respect to the critical temperature $T_{c}^{0}$ of an ideal gas. We found that accounting for a nonlinear (quadratic) Zeeman effect (with applied magnetic field closely matching a Feshbach resonance field $B_0$) in the mean-field approximation results in a rather significant renormalization of the field-free nonlinear contribution $b_{2}$, namely $\Delta T_{c}/T_{c}^{0}\simeq b_{2}^{\ast }(a/\lambda _{T})^{2}$ (where $a$ is the $s$-wave scattering length, $\lambda _{T}$ is the thermal wavelength at $T_{c}^{0}$) with $b_{2}^{\ast }=\gamma ^{2}b_{2}$ and $\gamma =\gamma (B_0)$. In particular, we predict $b_{2}^{\ast }\simeq 42.3$ for the $B_{0}\simeq 403\,$G resonance observed in the $^{39}$K BEC.
Received: 21.10.2014 Revised: 23.12.2014
Citation:
S. Sergeenkov, F. Briscese, M. Grether, M. de Llano, “Origin of nonlinear contribution to the shift of the critical
temperature in atomic Bose–Einstein condensates”, Pis'ma v Zh. Èksper. Teoret. Fiz., 101:6 (2015), 410–413; JETP Letters, 101:6 (2015), 376–379
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https://www.mathnet.ru/eng/jetpl4579 https://www.mathnet.ru/eng/jetpl/v101/i6/p410
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