The Squeezing Effect Of High-order Operators Near Resonance Between Light And Atoms

In quantum optics,squeezed state as one of nonclassical effects has attracted much attention from researchers.Squeezed state is an important resource of quantum information.It is used for the application of quantum information such as precision measurement and gravitational wave detection.It is a noteworthy question to get the high-order squeezed state of the light near-resonance between light and atoms.This article is about whether or not the high-order squeezing of a two mode cavity field interacting with two atomic ensembles simultaneously exist.After reflection the two quantum fields are intersected at two locations where two atom ensembles are placed respectively.Meanwhile,there is another classic driven field driving those two atom ensembles.Using the dressed state theory,the reduction density matrix of the field is obtained by finding the trace of the atoms.Then we consider the possibility of generating the squeezed state by three pairs of operator.At the same time,the dephasing rates of cavity fields,coupling coefficient between the atoms and cavity field,atomic detuning ratio coefficient and the phase difference are also analyzed.The research shows that high-order squeezing does exist in the wide range near the resonance position between light and atoms.If we adjust parameters,the maximum degree of squeezing could be more than 50%.The degree of squeezing is significantly dependent on the change of the parameters.