超精细相互作用介导的塞曼效应在囚禁原子玻色-爱因斯坦凝聚体凝聚温度漂移中的作用
On the role of hyperfine-interactions-mediated Zeeman effect in the condensation temperature shift of trapped atomic Bose-Einstein condensates
摘要：
讨论了在外加囚禁磁场的影响下，原子间相互作用对实验室玻色-爱因斯坦凝聚体的凝聚温度$T_c$的影响。我们预测，在平均场近似下，考虑到超精细相互作用介导的塞曼项，在$^{39}K$凝聚体的$|F,m_F> = |1,1>$超精细态中的$403 \, G$ Feshbach共振的情况下，$F$是原子的总自旋，实验观察到一个- （尚未解释的）缩合温度$ΔT_{c}/T_{c}^{0}=b^{*}_0+b^{*}_1 (a/λ_{T}) + b^{*}_2 (a/λ_{T})^2$与$b^{*}_0 \simeq 0.0002$、$b^{*}_1 \simeq -3.4$和$b^{*}_2 \simeq 47$的变化，其中，$a$是s波散射长度，$λ_T$是在$T_{c}^{0}$处的热波长。还得到了系数$b^*_0$、$b^*_1$和$b^*_2$的一般表达式，这些表达式可用于预测$^{39}K$或其它原子凝聚体的其它Feshbach共振的温度漂移。
英文摘要：
We discuss the effect of interatomic interactions on the condensation temperature $T_c$ of a laboratory atomic Bose-Einstein condensate under the influence of an external trapping magnetic field. We predict that accounting for hyperfine interactions mediated Zeeman term in the mean-field approximation produces, in the case of the $403 \, G$ Feshbach resonance in the $|F,m_F> = |1,1>$ hyperfine state of a $^{39}K$ condensate, with $F$ the total spin of the atom, an experimentally observed (and not yet explained) shift in the condensation temperature $ΔT_{c}/T_{c}^{0}=b^{*}_0+b^{*}_1 (a/λ_{T}) + b^{*}_2 (a/λ_{T})^2$ with $b^{*}_0 \simeq 0.0002$, $b^{*}_1 \simeq -3.4$ and $b^{*}_2 \simeq 47$, where $a$ is the s-wave scattering length, and $λ_T$ is the thermal wavelength at $T_{c}^{0}$. Generic expressions for the coefficients $b^*_0$, $b^*_1$ and $b^*_2$ are also obtained, which can be used to predict the temperature shift for other Feshbach resonances of $^{39}K$ or other atomic condensates.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
