旋转光晶格中玻色-莫特绝缘体的相边界
Phase Boundary of the Boson Mott Insulator in a Rotating Optical Lattice
摘要：
我们考虑二维旋转光晶格中的玻色-哈伯德模型，并研究了旋转产生的有效磁场的后果。利用Gutzwiller型变分波函数，我们找到了莫特绝缘体（MI）-超流（SF）过渡边界的解析表达式，该表达式是由Hofstadter蝶形的最大本征值表示的.相界对有效磁场的依赖关系是复杂的，反映了单粒子能谱的自相似性质。最后，我们认为，分数量子霍尔相位存在接近MI SF过渡边界，包括MI状态的粒子密度大于1。
英文摘要：
We consider the Bose-Hubbard model in a two dimensional rotating optical lattice and investigate the consequences of the effective magnetic field created by rotation. Using a Gutzwiller type variational wavefunction, we find an analytical expression for the Mott insulator(MI)-Superfluid(SF) transition boundary in terms of the maximum eigenvalue of the Hofstadter butterfly. The dependence of phase boundary on the effective magnetic field is complex, reflecting the self-similar properties of the single particle energy spectrum. Finally, we argue that fractional quantum Hall phases exist close to the MI-SF transition boundaries, including MI states with particle densities greater than one.
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