Comparison of electromagnetically induced transparency in lambda, cascade and vee three-level systems

Abstract

We discuss the Electromagnetically Induced Transparency (EIT) in lambda, cascade and vee type threelevel 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 along with their group velocities. When the EIT condition is achieved at resonance, the population oscillation shows which of the bare states are contributing to form the dark state. Our study reveals that the dark state for the lambda and cascade system effectively coincides with the lowest bare state of that system, while for the vee system, it is a maximally superposed state of the middle and upper bare states.

Controllable Optical Properties of Multiple Electromagnetically Induced Transparency in Gaseous Atomic Media

“…The dipole allowed transitions are between states |1 and |2 and between states |2 and |3 . The EIT has been extensively studied in all three of the three-level configurations [3][4][5][6][7][8][9][10][11][12][13][14]. The theory of EIT for lambda-, cascade -and V-type configurations has been well documented in Refs.…”

“…The theory of EIT for lambda-, cascade -and V-type configurations has been well documented in Refs. [3][4][5][6][7][8][9][10][11][12][13][14]. In the framework of the semiclassical theory, using the dipole and rotating wave approximations, the evolution of the atom-field system can be described by the following Liouville equation [26]…”

“…The effect was proposed theoretically in 1989 [1] and experimentally verified in 1991 [2]. Since then, the EIT has attracted much studies in atomic/molecular systems [3][4][5][6][7][8][9][10][11][12][13][14] and quantum well/dot systems [15][16][17][18][19] due to its unusual optical properties and promises for potential applications, such as lasing without inversion [20], high resolution spectroscopy [21], nonlinear optics at low light levels [22], giant Kerr nonlinearity [23][24][25][26], and optical bistability (OB) [27]. In addition to the reduction of the resonant absorption, modification of refractive index of the EIT medium was also studied theoretically [28,29] and experimentally [8,30].…”

“…In the early years of EIT study, three-level configurations were the main objects which give single-window EIT signature [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. It is worthy to mention here that the linear and nonlinear susceptibilities of such single-window EIT medium have been well understood and promoted significant progress in the EIT related applications .…”

Determine Dispersion Coefficient of 85Rb Atom in the Y–Configuration

“…Email address: tiendungunivinh@gmail.com https//doi.org/ 10.25073/2588-1124/vnumap.4352 type configurations. In each configuration, the EIT efficiency is different, in which the -type configuration is the best, whereas the V-type configuration is the worst [7], therefore, the manipulation of light in each configuration are also different. To increase the applicability of this effect, scientists have paid attention to creating many transparent windows.…”