光晶格中束缚费米原子对的调谐特性
Tunneling properties of a bound pair of Fermi atoms in an optical lattice
摘要:
研究了束缚费米原子对在光晶格中的隧穿性质,并与在吸引哈伯德模型中的结果进行了比较。在哈伯德模型的强耦合区中,已经预言晶格位置之间的束缚对的运动伴随着虚离解。为了探索这种有趣现象在光晶格中的可能性,我们计算了余弦型周期势中的分子波函数。我们发现,伴随解离的分子隧穿发生在光晶格系统的中间耦合区。在强耦合区,与哈伯德模型中的预测相反,束缚对被证明可以隧穿晶格势而不解离。因此,即使在强耦合极限下,分子带质量M的大小仍然是有限的,这与哈伯德模型中发散的分子质量形成对比。包括这个有限的分子带质量的值,我们评估的超流相变温度Tc在BEC极限的光晶格系统,其中哈伯德模型给出Tc=0,由于发散的分子质量。
英文摘要:
We investigate tunneling properties of a bound pair of Fermi atoms in an optical lattice, comparing with results obtained in an attractive Hubbard model. In the strong coupling regime of the Hubbard model, it has been predicted that the motion of a bound pair between lattice sites is accompanied by virtual dissociation. To explore the possibility of this interesting phenomenon in optical lattice, we calculate molecular wavefunction in a cosine-shape periodic potential. We show that the molecular tunneling accompanied by dissociation occurs in the intermediate coupling regime of the optical lattice system. In the strong coupling regime, in contrast to the prediction in the Hubbard model, the bound pair is shown to tunnel through lattice potential without dissociation. As a result, the magnitude of molecular band mass M remains finite even in the strong coupling limit, which is in contrast to the diverging molecular mass in the case of the Hubbard model. Including this finite value of molecular band mass, we evaluate the superfluid phase transition temperature Tc in the BEC limit of the optical lattice system, where the Hubbard model gives Tc=0 due to the diverging molecular mass.
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