准一维光晶格中玻色硬球的连续模型
A continuous model for bosonic hard spheres in quasi one-dimensional optical lattices
摘要：
利用扩散蒙特卡罗方法研究了准一维光晶格中硬球玻色子系统在超流体和莫特绝缘体之间的量子相变。对于这种连续的哈密顿量，我们研究了Mott相的稳定极限随光晶格深度和横向限制宽度的变化。将这些结果与一维均匀玻色-哈伯德模型的结果进行比较表明，后者仅在深晶格的极限下才能准确地描述相图。对于浅的，我们的结果是可比的sine-Gordon模型的应用范围。我们提供了一个估计的临界参数时，没有这些模型是现实的描述准一维光晶格。
英文摘要：
By means of diffusion Monte Carlo calculations, we investigated the quantum phase transition between a superfluid and a Mott insulator for a system of hard-sphere bosons in a quasi one-dimensional optical lattice. For this continuous hamiltonian, we studied how the stability limits of the Mott phase changed with the optical lattice depth and the transverse confinement width. A comparison of these results to those of a one-dimensional homogeneous Bose-Hubbard model indicates that this last model describes accurately the phase diagram only in the limit of deep lattices. For shallow ones, our results are comparable to those of the sine-Gordon model in its limit of application. We provide an estimate of the critical parameters when none of those models are realistic descriptions of a quasi one-dimensional optical lattice.
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