论文标题

在平均场和半古典近似中,强烈相互作用的$^{39} k $凝结的冷凝温度

Condensation temperature of strongly interacting $^{39}K$ condensates in the mean-field and semi-classical approximations

论文作者

Briscese, Fabio

论文摘要

我们考虑原子间相互作用对原子bose-Einstein冷凝物的冷凝温度$ T_C $的影响。我们发现在平均场和半经典近似值中,相互作用与理想的非相互作用情况相互作用引起的$ T_C $转移的分析表达。这样的偏移是用比率$ a/λ_{t_c} $在s波散射长度$ a $和热波长$λ_{t_c} $之间表示的。该结果用于讨论平均场预测与强烈相互作用的$^{39} k $冷凝物中的张力。结果表明,考虑到实验中用于调整$ a $的Feshbach共振的细节,解决了这种张力。

We consider the effect of inter-atom interactions on the condensation temperature $T_c$ of an atomic Bose-Einstein condensate. We find an analytic expression of the shift in $T_c$ induced by interactions with respect the ideal non-interacting case, in the mean-field and semi-classical approximations. Such a shift is expressed in terms of the ratio $a/λ_{T_c}$ between the s-wave scattering length $a$ and the thermal wavelength $λ_{T_c}$. This result is used to discuss the tension between mean-field predictions and observations in strongly interacting $^{39}K$ condensates. It is shown that such a tension is solved taking into account the details of the Feshbach resonance used to tune $a$ in the experiments.

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