1305.5056 (Surajit Sen et al.)

Comparison of Electromagnetically Induced Transparency in lambda, vee
and cascade three-level systems    [PDF]

Surajit Sen, Tushar kanti Dey, Mihir Ranjan Nath, Gautam Gangopadhyay

We discuss the Electromagnetically Induced Transparency (EIT) in lambda, vee and cascade systems where the Hamiltonian and the Lindblad term of each configuration are expressed in the SU(3) representation. At steady state, the Optical Bloch Equations of each configuration are solved to obtain the dispersion and absorption profiles of the probe field as the function of the detuning frequency. The group velocities of the probe field for different systems are compared and for the vee configuration it is found to possess lowest value. When the EIT condition is achieved at resonance, then the study of the population oscillation for the lambda and cascade systems shows that the entire population is trapped into the lowermost level leaving other two levels almost empty. This is in sharp contrast to the vee system where the trapping occurs in the middle and the upper levels of the system indicating that the vee system has two dark states contrary to single dark state of the lambda and cascade configurations.

View original: http://arxiv.org/abs/1305.5056