原子波导中p波约束诱导共振的位移和宽度
Shifts and widths of p-wave confinement induced resonances in atomic waveguides
摘要：
通过推广A. D. Lange等人的双通道模型，建立了一个研究原子波导中全同费米子p波费什巴赫共振的理论模型。等人[Phys.Rev.A79，013622（2009）]和S. Saeidian et.等人[Phys.Rev.A86，062713（2012）]。实验上已知的自由空间中的费什巴赫共振参数被用作模型的输入。计算了$^{40}$ K原子在简谐波导中p波磁费什巴赫共振的位移和宽度，即p波约束诱导共振（CIR）.特别地，我们展示了通过陷阱频率和外加磁场来控制p波约束诱导共振的宽度和位移的可能性，这可用于相应的实验中。我们的分析还表明，在计算方案中的有效半径的描述的p-波CIR的情况下，这一项的影响是可以忽略不计的s-波CIR相反的重要性。
英文摘要：
We develop and analyze a theoretical model to study p-wave Feshbach resonances of identical fermions in atomic waveguides by extending the two-channel model of A.D. Lange et. al. [Phys. Rev. A 79, 013622 (2009)] and S. Saeidian et. al. [Phys. Rev. A 86, 062713 (2012)]. The experimentally known parameters of Feshbach resonances in free space are used as input of the model. We calculate the shifts and widths of p-wave magnetic Feshbach resonance of $^{40}$K atoms emerging in harmonic waveguides as p-wave confinement induced resonance (CIR). Particularly, we show a possibility to control the width and shift of the p-wave confinement induced resonance by the trap frequency and the applied magnetic field which could be used in corresponding experiments. Our analysis also demonstrates the importance of the inclusion of the effective radius in the computational schemes for the description of the p-wave CIRs contrary to the case of s-wave CIRs where the influence of this term is negligible.
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