Non-Classical Properties Of The Interaction Of Light With An Atom And Optical Dipole Traps For Particles

Quantum optics is a very much alive and rapidly developing interdiscipline. It currently involves researches on the statistical distributions of optical fields and the preparations of non-classical states, on the quantum theories of the interactions of light with matter, and on the quantum interpretations for the nonlinear optical phenomena. Their progresses help us understand deeply the foundations of quantum mechanics, and they are paid more and more attentions from the researchers working on quantum information and quantum computation.In this thesis, (1) the studies are theoretically made on the non-classical properties of light interacting with an atom. The multi-photon Jaynes-Cumming model of the photon-added coherent light interacting with a two-level atom has been founded, the dynamical wave function of which is exactly solved; and then the properties, including periodicity, of systematical evolutions about quantum collapses and revivals, the squeezing effect of components of atomic dipole, and the negative of Wigner function are analyzed in detail. (2) Another part of this thesis is the measurement of the well-defined signal-to-noise ratio on the laser tweezers Raman spectroscopy (LTRS). The contributed factors of cooling temperature of CCD, exposure time, and laser input power are considered for the variation of signal-to-noise ratio in experiments.The results of this thesis shows as follows: (1) a dynamical wave function of the system is exactly solved in the interactions between the photon-added coherent light and a two-level atom; (2) the formulas of atomic inversion, squeezing of components of atomic dipole, and the time-dependent Wigner function of light are computed exactly, they are simulated numerically when the photon-added number changes;(3) the systematical signal-to-noise ratio for the laser tweezers Raman spectroscopy (LTRS) are measured on the factors of cooling temperature of CCD, exposure time, and laser input power in experiments.In this paper, the conclusions of the studies on the non-classical properties can provide important theoretical guidance for realizing the single photon source, preparing photon pair and quantum states, designing the single atom laser, and implementing quantum telecommunication. And the measurement of the signal-to-noise ratio for LTRS can examine well the system quality on normal work after system optimization; it also provides a powerful basis for measuring and analyzing Raman spectra for the same sample in different conditions.