The Study Of The Casimir-Polder Potential Between Two Atoms Based On The Complex Point Source Model

Casimir effect is a result of quantum vacuum fluctuations. Therefore, Casimir effect has important meaning in the research of theory and experiment, and it has a very wide range of applications in various fields. In recent years, with the continuous improvement of the industrial manufacturing, more and more micro devices come out. However, with the size of micro devices becoming smaller, the distance between the components inside the micro device becomes smaller too. When the distance reduces to micron level, the Casimir effect between the two components can not be ignored, and will have negative impact on the micro devices. Thus it is necessary to study the Casimir effect in near distance.In recent decades, the development of the laser cooling technology and the single atom manipulation technology makes it possible to largely reduce the distance between the two atoms. The distance between two atoms even can be reduced to zero. However, physicists mainly focus on the research of the Casimir effect and the Casimir-Polder effect, in which the distance between two interacting objects is mostly on the micron scale. Therefore, when the distance between two interacting objects is smaller than the micron scale, how much is the Casimir-Polder force between two neutral atoms? What will change in this phenomenon?In this paper, we study the Casimir-Polder effect between two ground state atoms based on the method of field spatial correlation. Considering when the distance between two atoms tends to zero, Casimir-Polder potential in the traditional methods will appear singularities, we propose Casimir-Polder potential in the complex point source model. Then we calculate the Casimir-Polder potential between two two-level atoms in their ground state in near distance (atomic scale). The complex point source model allows us to obtain the interacting potential when the distance close to zero even is zero theoretically. On this basis, taking into account the actual situation that other objects exist in the experiment, we study the Casimir-Polder potential between two atoms in near distance in the present of the boundary condition.After theoretical calculation and analysis, we find both in the presnet and in the absence of the boundary condition, the Casimir-Polder potential in near distance (atomic scale) will have an oscillation process and the trend is same. As the distance between two atoms increases from zero, the Casimir-Polder force is strong repulsive force at first. Then it becomes attractive from exclusive. With further increasing of the distance, the Casimir-Polder force between two atoms becomes exclusive force again, then turns to the attractive force. The performance of the latter two forces is similar to the traditional Van der Waals force and CP force. When the distance between two atoms is large, the existence of boundary condition mainly affects the value of Casimir-Polder force. When the distance between two atoms tends to zero, there is no difference between Casimir-Polder effect in the existence and in the absence of boundary condition, the existence of boundary condition affacts the value of CP force, but it does not change the form of CP potential.