简谐囚禁光晶格中的布居不平衡费米子
Population imbalanced fermions in harmonically trapped optical lattices
摘要：
利用Bogoliubov-de Gennes方法求解吸引Fermi-Hubbard哈密顿量，分析了二维光晶格中布居不平衡费米子混合物的基态相位.在低密度极限的超流序参量调制在径向方向上对陷阱的边缘，以适应未成对的费米子被推离陷阱中心与一个单一的峰值，在他们的密度。然而，在高密度的限制，而序参量调制在径向方向上朝着陷阱中心的低不平衡，它也朝着陷阱的边缘与增加的不平衡，直到超流正常相变发生超过临界不平衡。这导致在低和高不平衡的情况下未配对费米子密度的单峰，但在中等不平衡的情况下导致双峰。
英文摘要：
The attractive Fermi-Hubbard Hamiltonian is solved via the Bogoliubov-de Gennes formalism to analyze the ground state phases of population imbalanced fermion mixtures in harmonically trapped two-dimensional optical lattices. In the low density limit the superfluid order parameter modulates in the radial direction towards the trap edges to accommodate the unpaired fermions that are pushed away from the trap center with a single peak in their density. However in the high density limit while the order parameter modulates in the radial direction towards the trap center for low imbalance, it also modulates towards the trap edges with increasing imbalance until the superfluid to normal phase transition occurs beyond a critical imbalance. This leads to a single peak in the density of unpaired fermions for low and high imbalance but leads to double peaks for intermediate imbalance.
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。
