The Ion Trap Technology Is Used To Produce Optical Field Non-linearity And Detection Space Non-commutability

Ion trap and cavity QED are two important techniques for studying quantum phenomena and verifying quantum physics theory.they play very fundamental roles in exploring the potential application of quantum physics,especially in the fields of quantum information,quantum computation,quantum simulation and high precision measurement.based on ion trap and cavity QED technology,this paper makes use of their advantages and obtains the following two innovative research results:1.A theoretical scheme is proposed to realize two-photon nonlinear process of two-atom system by combining cavity QED system with ion trap.The multi-photon nonlinear process is of great significance in quantum information processing and the generation of non-classical quantum states.However,the actual nonlinear process can only be realized under a strong laser field,while the quantum information processing generally requires to be carried out at the level of single photon.Obviously,the traditional nonlinear optical method is no longer applicable.In this paper,we design a new theoretical scheme to realize a two-photon nonlinear process in weak light field by exchanging phonons of two atoms.The advantage of this scheme is that the interference of two channels of the exchange phonon is eliminated,thus avoiding the influence of external thermal noise.We use James method to obtain effective Hamiltonian which is more generally than the perturbation theory.2.Based on the two-dimensional ion trap technology,we propose a theoretical scheme for detection of noncommutation space.A bichromatic laser field is applied to an ion in two perpendicular directions,we skillfully transfer the noncommutative relation of space coordinates to the arrangement of energy levels in atoms,then by measuring the atomic population can determine whether there is a spatial coordinates of transgender.This method can also give the relationship between the range of spatial noncommutative parameters and the parameters of ion trap environment.We can get maximum detection probability under specific parameters.