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arXiv 1106.0904cond-mat.quant-gas
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三维光晶格中的费米子:获得反铁磁性的冷却方案

Fermions in 3D Optical Lattices: Cooling Protocol to Obtain Antiferromagnetism

Thereza Paiva, Yen Lee Loh, Mohit Randeria, Richard T. Scalettar, Nandini Trivedi

摘要:

在光晶格中实现反铁磁(AF)和超流相的一个主要挑战是冷却费米子的能力。我们利用无偏量子蒙特卡罗方法确定了三维排斥费米-哈伯德模型的状态方程作为化学势、温度和排斥力的函数,然后利用局域密度近似模拟了一个谐波陷阱.我们发现,增加排斥导致冷却,但只有在一个陷阱,由于熵的重新分配从中心到金属翅膀。因此,即使每个粒子的平均熵大于均匀系统中反铁磁性所需的熵,陷阱也能形成AF莫特相。

英文摘要:

A major challenge in realizing antiferromagnetic (AF) and superfluid phases in optical lattices is the ability to cool fermions. We determine the equation of state for the 3D repulsive Fermi-Hubbard model as a function of the chemical potential, temperature and repulsion using unbiased determinantal quantum Monte Carlo methods, and we then use the local density approximation to model a harmonic trap. We show that increasing repulsion leads to cooling, but only in a trap, due to the redistribution of entropy from the center to the metallic wings. Thus, even when the average entropy per particle is larger than that required for antiferromagnetism in the homogeneous system, the trap enables the formation of an AF Mott phase.

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