Dynamical Casimir Effect In A Dissipative System

Since the introduction of quantum field theory,people have a deeper understanding of the composition and laws of the material world.The electromagnetic field can propagate in all spaces,and it has the characteristics of fluctuations.Even in a vacuum of absolute zero,the characteristics of the fluctuation of the electromagnetic field still exist,which shows that vacuum is not nothing,and there is zero-point energy in it.In 1948,Dutch physicist Hendrik Casimir predicted that when two neutral metal plates placed in parallel in a vacuum are brought close together,there will be an attraction between the two metal plates.This phenomenon was later called the Casimir effect.On this basis,when two adjacent metal plates are simulated as a cavity,according to the electromagnetic field quantum fluctuation effect,the rapidly changing boundary conditions in the unstable cavity will cause the fluctuation of the vacuum electromagnetic field,resulting in the generation of photons.This phenomenon is called It is the dynamic Casimir effect(DCE).In 2011,Willson et al.successfully observed this dynamic Casimir effect through experiments.Nowadays,this kind of macroscopic effect due to the microscopic quantum effect has attracted more and more people's attention.Especially with the advancement of materials science,more and more microelectronics and nanodevices must take the Casimir effect into consideration in practical applications.For the photons generated by the dynamic Casimir effect,V.V.Dodonov proposed in 1995 that by coupling the cavity with the detector,we can record the number of photons generated in the cavity.With the experimental research on the dynamic Casimir effect,people realized that it is different from the ideal model in earlier studies.When the dynamic Casimir effect is actually observed,it is difficult for the material of the cavity wall to achieve total reflection.Diffraction and transmission problems will cause energy loss in the entire system.Therefore,it is worthwhile to study the effect of dissipation on the dynamic Casimir effect.This paper studies the dynamic Casimir effect in a dissipative unstable vacuum chamber.The main work is as follows: First,a one-dimensional vibrating cavity system with two-level atoms as detectors is constructed,and the system Hamiltonian is given after introducing dissipation.Matrix transformation,Lie algebra method and Taylor series expansion are used to obtain the analytical expressions of the number of photons produced in the dissipative unstable cavity under resonance and non-resonance respectively.Finally,through image and numerical analysis,the effects of dissipation,resonance conditions,and atom-cavity field coupling on the dynamic Casimir effect are studied.The research results show that: dissipation and the coupling between the atom and the cavity field will reduce the energy of the system and inhibit the number of photons;when the field is strengthened under resonance conditions,more virtual quanta will be converted into photons.