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Structural superfluid–Mott-insulator transition for a Bose gas in multirods
Physical Review A ( IF 2.9 ) Pub Date : 2021-01-14 , DOI: 10.1103/physreva.103.013311
Omar Abel Rodríguez-López , M. A. Solís , J. Boronat

We report on a structural superfluid–Mott-insulator (SF-MI) quantum phase transition for an interacting one-dimensional Bose gas within permeable multirod lattices, where the rod lengths are varied from zero to the lattice period length. We use the ab initio diffusion Monte Carlo method to calculate the static structure factor, the insulation gap, and the Luttinger parameter, which we use to determine if the gas is a superfluid or a Mott insulator. For the Bose gas within a square Kronig-Penney (KP) potential, where barrier and well widths are equal, the SF-MI coexistence curve shows the same qualitative and quantitative behavior as that of a typical optical lattice with equal periodicity but slightly larger height. When we vary the width of the barriers from zero to the length of the potential period, keeping the height of the KP barriers, we observe a way to induce the SF-MI phase transition. Our results are of significant interest, given the recent progress on the realization of optical lattices with a subwavelength structure that would facilitate their experimental observation.

中文翻译:

多棒中玻色气体的结构超流体-莫特-绝缘子转变

我们报告了在可渗透的多棒晶格中相互作用的一维玻色气体的结构超流体-莫特-绝缘子(SF-MI)量子相变,其中棒长度从零到晶格周期长度变化。我们使用从头算扩散法蒙特卡洛方法来计算静态结构因子,绝缘间隙和Luttinger参数,这些参数用于确定气体是超流体还是莫特绝缘子。对于正方形内的玻色气在势垒和阱宽度相等的Kronig-Penney(KP)势中,SF-MI共存曲线显示出与具有相同周期性但高度稍大的典型光学晶格相同的定性和定量行为。当我们将势垒的宽度从零更改为潜在周期的长度,并保持KP势垒的高度时,我们观察到了一种诱导SF-MI相变的方法。考虑到具有亚波长结构的光学晶格的实现方面的最新进展将有助于他们的实验观察,因此我们的结果具有重大意义。
更新日期:2021-01-14
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