Influence Of Interaction Of Two Atoms On The Dynamical Casimir Effect

The existence of an attractive force between two neutral, parallel and perfect conducting plates was first predicted by Casimir in 1948. The surprising phenomenon has been attributed to the vacuum quantum fluctuations of the electromagnetic field and it is regarded as a macroscopic manifestation of quantum mechanics. Another proof of quantum effect is that photons can be created from non-stationary vacuum cavity, it is usually referred to as the dynamic Casimir effect(DCE). From then on, DCE has attracted many researchers to do numerous theoretical studies for a long time. Many authors have investigated various schemes by moving the macroscopic boundaries to simulate DCE and corresponding experimental proposals for observing photons generated have been suggested. Another approach for DCE is varying the material properties of the boundaries. The experimental observation of the generated photons in a superconducting circuit is first obtained in 2011, it is a major breakthrough in the experimental field. Previous studies about the influence of field-detector interaction on the rate of photons creation have been performed since 1995. Based on those early studies, the problem of the back action of different detectors on the DCE has been studied by many researchers recently.The Casimir effect as a multidisciplinary subject plays an important role in all fields of modern physics, such as condensed matter physics, atomic physics, astrophysics, cosmology, mathematical physics and fundamental physics.This paper introduces theoretical and experimental researches on the Casimir effect briefly. Based on these theories, we study the generation of photons in an ideal cavity with a moving mirror interacting with two two-level atoms. By solving the problem in a matrix method, we obtain an analytic approximate solution. Particularly, the influence of the atom-field coupling has been taken into account. It is shown that the interaction between two atoms has passive influence on the rate of photons creation.