The Properties Of The Two-Mode Squeezed Light Field In Noncommutative Space

The classical description for the light field is unfit to the quantum properties whichshould obtain wave character and particle properties both. For satisfying the correspondingrequire, physicists develop quantum optics, which can describe quantum light field properlyand conveniently. There are different representation for different circumstance, such as Fockstate representation, Coherent state representation and Phase state representation. The co-herent and squeezing properties of the quantum light can be studied under quantum optics.On the other hand, all the properties of the quantum light can be detected by the provenhomodyne detection technology.The quantum effect of gravity theory will modify the structure of the space and time un-der Planck space. Near the string scale the space–time appear noncommutativity, that is, thecoordinates become no longer commutative. The noncommutative structure in space–timecan be introduced in this framework by taking the noncommutative quantum mechanics, themost hopeful theory so far.The properties of the deformed quantum light in noncommutative space have subtlechange. The changes are different for one-mode squeezing light and two-mode squeezinglight. For the latter, a novel conclusion can be found and may associate the checking of thevariances in noncommutative space with homodyne detecting technology. Moreover, weanalyze the in?uence of the scaling parameters on the degree of squeezing for the deformedlevel and the corresponding consequences.