The Contribution Of The High-order Term To The Dynamical Casimir-Polder Force In An Optical Cavity

The Casimir-Polder force as well as the Casimir effect arises from a quantizedelectromagnetic field. It plays an important role in quantum mechanics and is widely used inmany different areas of physics, so it has attracted much attention.It is known that the electromagnetic field can be seen as a series of harmonic vibrationswith various frequencies. The ground state of the quantum electromagnetic field which is aquantum state with no frequency, is called the vacuum state. One of the performances of thevacuum fluctuations of the quantum electromagnetic field is the Casimir-Polder force.In this article,based on references[1,2], I calculate the contribution of the high-order termto the dynamical Casimir-Polder force in an optical cavity by the perturbation theory. And ananalytic expression of the third-order Casimir-Polder energy of such a system is obtained.Itshows the higher-order term has contributions to the dynamical Casimir-Polder force.