Sato Toshihiro, Kato Yasuyuki, Suzuki Takafumi, Kawashima Naoki
Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 May;85(5 Pt 1):050105. doi: 10.1103/PhysRevE.85.050105. Epub 2012 May 29.
We examine the validity of the projected Gross-Pitaevskii simulation by taking the two-dimensional homogeneous bosonic system as an example. The long-distance behaviors of the correlation function and equilibrium temperatures show good agreement with those of the quantum Monte Carlo calculations below temperatures near the Kosterlitz-Thouless transition. We find that in the projected Gross-Pitaevskii description, one needs to estimate the optimal wave-number cutoff in temperature. In the well-described region, the projected Gross-Pitaevskii equation presents reliable predictions for the long-wave bosonic components.
我们以二维均匀玻色子系统为例，检验投影格罗斯 - 皮塔耶夫斯基模拟的有效性。关联函数和平衡温度的长程行为与在接近科斯特利茨 - Thouless 转变温度以下的量子蒙特卡罗计算结果显示出良好的一致性。我们发现，在投影格罗斯 - 皮塔耶夫斯基描述中，需要在温度中估计最佳波数截止。在描述良好的区域，投影格罗斯 - 皮塔耶夫斯基方程对长波玻色子分量给出了可靠的预测。
