The main purpose of my thesis is to investigate various effects related toquantum interference, such as electromagnetically induced transparency, highindex of refraction without absorption, and amplification without inversion, invarious laser-matter interaction systems. The systems we considered includeatoms and semiconductor quantum well structures, involving both transientprocess and steady state. My thesis is consisted of six parts:I. Effect of vacuum-induced and microwave-induced coherence on the transient process in atomic systems In this part, we investigate the transient properties in three level Λ - andV-type atomic systems with vacuum-induced coherence, and in amicrowave-driven three level Λ -type atomic system, respectively. We foundthat, the vacuum-induced and microwave-induced coherence both greatlymodify the transient behavior of the probe field. The interference term makesthe transient behavior of the probe field becomes quite sensitive to the relativephase Φ of the applied fields. Different values of Φ lead to differentfeatures of the transient behavior, and the transient absorption can be 195completely eliminated just by choosing proper values of the relative phase. The considered three-level Λ -type atomic system is shown in Fig. 1. Thetwo lower levels are closely lying, when the two dipole moments arenonorthogonal, cross-coupling happens between the two decay channels fromthe upper level to the ground doublet and results in a kind of quantuminterference, named vacuum-induced coherence. In this system, a strongcoherent field is applied as coupling field, and a weak field is applied as probefield. Properly arrange the polarization of the applied fields so that one fieldacts on only one transition, i.e., εrc ⊥ dr13 , εrp ⊥ dr23 . Fig.1 A three-level Λ -type atomic system with vacuum-induced coherence In the framework of semi-classical theory, the density matrix equationsincluding the vacuum-induced coherence terms are dependent on the relativephase Φ of the applied fields, from which we can obtain the time-dependentnumerical solutions of the gain-absorption coefficient in the transient process. By considering the time evolution of the gain-absorption coefficient (shownin Fig. 2), we found that when η = 0 (solid curve), the probe field shows 196oscillatory behavior versus time, i.e., the probe laser exhibits periodicamplification and absorption. When η = 1, i.e., when the VIC effect isincluded, the transient property is greatly altered, and it exhibits different...
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