论文标题
量子蒙特卡洛研究在周期性电势中强烈相互作用的骨一维系统
Quantum Monte Carlo study of strongly interacting bosonic one-dimensional systems in periodic potentials
论文作者
论文摘要
我们提出了扩散的蒙特卡洛（DMC）和路径综合蒙特卡洛（PIMC）计算的一维玻色系统，具有逼真的颗粒间相互作用，具有周期性的外部电位。我们的主要目的是测试Luttinger液体（LL）理论的预测，尤其是在预测的强大而脆弱的超流体状态下，在零和有限温度下的超氟莫特绝缘子过渡。为此，我们介绍了超流体分数$ρ_S/ρ_0$的结果，单体密度矩阵，两体相关函数和静态结构因子。 DMC和PIMC会导致$ρ_s/ρ_0$同意的非常低温的限制，但是用于缩放$ρ_S/ρ_0$的LL模型不太适合数据。周期电势的临界深度接近具有不同相互作用模型的超低气体获得的值，但具有相同的裸照参数的值，证明了LL描述的普遍性。相关函数的代数衰减在莫特 - 绝缘体ONE的超流体状态和指数衰减中观察到，以及在有限温度下的所有机制中，对于大于特征长度的距离。
We present diffusion Monte Carlo (DMC) and path-integral Monte Carlo (PIMC) calculations of a one-dimensional Bose system with realistic interparticle interactions in a periodic external potential. Our main aim is to test the predictions of the Luttinger liquid (LL) theory, in particular with respect to the superfluid-Mott insulator transition at both zero and finite temperatures, in the predicted robust and fragile superfluid regimes. For that purpose, we present our results of the superfluid fraction $ρ_s/ρ_0$, the one-body density matrix, the two-body correlation functions, and the static structure factor. The DMC and PIMC results in the limit of very low temperature for $ρ_s/ρ_0$ agree, but the LL model for scaling $ρ_s/ρ_0$ does not fit the data well. The critical depth of the periodic potential is close to the values obtained for ultracold gases with different models of interaction, but with the same value of the bare LL parameter, demonstrating the universality of LL description. Algebraic decay of correlation functions is observed in the superfluid regime and exponential decay in the Mott-insulator one, as well as in all regimes at finite temperature for distances larger than a characteristic length.
