d=1自旋1玻色子哈伯德模型中的磁相变和超流相变
Magnetic and Superfluid Transitions in the d=1 Spin-1 Boson Hubbard Model
摘要：
磁性与金属-绝缘体相变之间的相互作用是单带费米子哈伯德模型（FHM）丰富物理的基础。近年来囚禁超冷原子实验的进展使得在玻色子哈伯德模型（BHM）中探索类似效应成为可能。本文报道了自旋为1的BHM在基态的量子Monte Carlo（QMC）模拟.在反铁磁相互作用的情况下，有利于单重态形成内的莫特绝缘体叶，我们提出了确切的数值证据，超流绝缘体相变是第一（二）阶取决于莫特叶是否是偶数（奇数）。在铁磁的情况下，跃迁都是连续的。我们得到了自旋吸引作用下的相图，证明了铁磁超流的存在。我们还比较了QMC相图与三阶微扰计算。
英文摘要：
The interplay between magnetism and metal-insulator transitions is fundamental to the rich physics of the single band fermion Hubbard model (FHM). Recent progress in experiments on trapped ultra-cold atoms have made possible the exploration of similar effects in the boson Hubbard model (BHM). This paper reports Quantum Monte Carlo (QMC) simulations of the spin-1 BHM in the ground state. In the case of antiferromagnetic interactions, which favor singlet formation within the Mott insulator lobes, we present exact numerical evidence that the superfluid-insulator phase transition is first (second) order depending on whether the Mott lobe is even (odd). In the ferromagnetic case, the transitions are all continuous. We obtain the phase diagram in the case of attractive spin interactions and demonstrate the existence of the ferromagnetic superfluid. We also compare the QMC phase diagram with a third order perturbation calculation.
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