论文标题
平均场玻色气体的基态一体密度矩阵的两项扩展
Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas
论文作者
论文摘要
当相互作用强度与颗粒数的倒数成正比时，我们考虑平均场状态的单位圆环上的同质bose气体。在颗粒数变大的限制中，我们得出了基态的一体密度矩阵的两项膨胀。证明是基于对Bogoliubov对基态能量和基态的近似的立方校正。
We consider the homogeneous Bose gas on a unit torus in the mean-field regime when the interaction strength is proportional to the inverse of the particle number. In the limit when the number of particles becomes large, we derive a two-term expansion of the one-body density matrix of the ground state. The proof is based on a cubic correction to Bogoliubov's approximation of the ground state energy and the ground state.
