arXiv 1010.04652010-10-14physics.atom-phcond-mat.quant-gas

Yb-171的p波光学费什巴赫共振

p-Wave Optical Feshbach Resonances in Yb-171

Krittika Goyal, Iris Reichenbach, Ivan Deutsch

备注：: 8 pages, 4 figures
DOI：: 10.1103/PhysRevA.82.062704

摘要：

我们研究了利用光学费什巴赫共振来修正超冷极化Yb-171自旋1/2费米子之间的p波相互作用。用激光激发两个碰撞原子到1S_0 + 3P_1沟道，在分子束缚态附近可以产生失谐。这样的外来分子具有远离化学结合区域的内部转折点，因此与通常在基态p波磁费什巴赫共振中看到的情况相比，费什巴赫共振中的三体复合将被高度抑制。我们计算了激发分子的束缚态光谱使用多通道积分的薛定谔方程，包括外部扰动的磁场。从多通道波函数出发，计算了费什巴赫共振的性质，包括弹性p波散射体积和非弹性自发散射率的修正。使用磁场和选择规则的偏振光产生一个高度可控的系统。我们应用这种控制提出了一个玩具模型的三色超流性的光晶格的自旋极化Yb-171，其中的三种颜色对应的三个空间轨道的第一个激发的p带。我们计算的条件下，隧道和现场的相互作用是可比的，在这一点上量子临界行为是可能的。

英文摘要：

We study the use of an optical Feshbach resonance to modify the p-wave interaction between ultracold polarized Yb-171 spin-1/2 fermions. A laser exciting two colliding atoms to the 1S_0 + 3P_1 channel can be detuned near a purely-long-range excited molecular bound state. Such an exotic molecule has an inner turning point far from the chemical binding region and thus three-body-recombination in the Feshbach resonance will be highly suppressed in contrast to that typically seen in a ground state p-wave magnetic Feshbach resonance. We calculate the excited molecular bound-state spectrum using a multichannel integration of the Schrödinger equation, including an external perturbation by a magnetic field. From the multichannel wave functions, we calculate the Feshbach resonance properties, including the modification of the elastic p-wave scattering volume and inelastic spontaneous scattering rate. The use of magnetic fields and selection rules for polarized light yields a highly controllable system. We apply this control to propose a toy model for three-color superfluidity in an optical lattice for spin-polarized Yb-171, where the three colors correspond to the three spatial orbitals of the first excited p-band. We calculate the conditions under which tunneling and on-site interactions are comparable, at which point quantum critical behavior is possible.

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