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利用量子旋转场理论详细研究了从光晶格中释放的超冷玻色气体的空间密度-密度关联函数.由于量子旋转场理论充分考虑了光晶格中冷原子气体的粒子数涨落和相位效应,该理论能有效应用于具有强相互作用的冷原子系统,从而光晶格处于超流态到绝缘态逐渐过渡过程中的超冷原子气体的关联特性在这一理论体系下都得到了很好的描述.结果表明:随着超冷玻色气体逐渐从绝缘态向超流态过渡,其密度-密度关联图样中连续对角斜线也逐渐向分散的尖峰过渡,理论结果与目前实验观测到的结果符合.除此以外,上述密度-密度关联的结果中还包含了超冷原子系统量子耗散效应,相关结论与目前已有的理论和实验一致.
The space density-density correlation function of the ultra-cooled Bose gas released from the optical lattice is studied in detail by using the quantum rotational field theory. Due to the quantum rotation field theory, the particle number fluctuation and phase of the cold atomic gas in the optical lattice are fully considered Effect, this theory can be effectively applied to the cold atomic system with strong interaction, so that the correlation of the supercooled atomic gas with the light lattice in the superfluid to the transitional state of insulation is very good under this theoretical system The results show that with the transition from supercritical Bose gas to superfluid state, the continuous diagonal diagonal lines in the density-density correlation map gradually shift to scattered spikes, and the theoretical results are in good agreement with the current experimental observations In addition, the above results of density-density correlation also include the quantum dissipation effect of the supercooled atomic system, and the related conclusions are consistent with the existing theories and experiments.