Gautier Ronan, Yao Hepeng, Sanchez-Palencia Laurent
CPHT, CNRS, Ecole Polytechnique, IP Paris, F-91128 Palaiseau, France.
Phys Rev Lett. 2021 Mar 19;126(11):110401. doi: 10.1103/PhysRevLett.126.110401.
Quasicrystals exhibit exotic properties inherited from the self-similarity of their long-range ordered, yet aperiodic, structure. The recent realization of optical quasicrystal lattices paves the way to the study of correlated Bose fluids in such structures, but the regime of strong interactions remains largely unexplored, both theoretically and experimentally. Here, we determine the quantum phase diagram of two-dimensional correlated bosons in an eightfold quasicrystal potential. Using large-scale quantum Monte Carlo calculations, we demonstrate a superfluid-to-Bose glass transition and determine the critical line. Moreover, we show that strong interactions stabilize Mott insulator phases, some of which have spontaneously broken eightfold symmetry. Our results are directly relevant to current generation experiments and, in particular, drive prospects to the observation of the still elusive Bose glass phase in two dimensions and exotic Mott phases.
准晶体展现出从其长程有序但非周期性结构的自相似性继承而来的奇异特性。光学准晶体晶格的近期实现为研究此类结构中的关联玻色流体铺平了道路，但强相互作用区域在理论和实验上仍 largely 未被探索。在此，我们确定了处于八重准晶势中的二维关联玻色子的量子相图。通过大规模量子蒙特卡罗计算，我们证明了超流到玻色玻璃的转变并确定了临界线。此外，我们表明强相互作用使莫特绝缘体相稳定，其中一些相具有自发破缺的八重对称性。我们的结果与当前的实验直接相关，尤其推动了在二维中观测仍然难以捉摸的玻色玻璃相和奇异莫特相的前景。
