Drummond P D, Deuar P, Kheruntsyan K V
ARC Centre of Excellence for Quantum-Atom Optics, Department of Physics, University of Queensland, Brisbane, Queensland 4072, Australia.
Phys Rev Lett. 2004 Jan 30;92(4):040405. doi: 10.1103/PhysRevLett.92.040405. Epub 2004 Jan 29.
A technique to simulate the grand canonical ensembles of interacting Bose gases is presented. Results are generated for many temperatures by averaging over energy-weighted stochastic paths, each corresponding to a solution of coupled Gross-Pitaevskii equations with phase noise. The stochastic gauge method used relies on an off-diagonal coherent-state expansion, thus taking into account all quantum correlations. As an example, the second-order spatial correlation function and momentum distribution for an interacting 1D Bose gas are calculated.
提出了一种模拟相互作用玻色气体巨正则系综的技术。通过对能量加权随机路径进行平均,生成了许多温度下的结果,每个随机路径都对应于具有相位噪声的耦合格罗斯 - 皮塔耶夫斯基方程的一个解。所使用的随机规范方法依赖于非对角相干态展开,从而考虑了所有量子关联。作为一个例子,计算了一维相互作用玻色气体的二阶空间关联函数和动量分布。