Electromagnetically induced transparency in a multilayered spherical quantum dot with hydrogenic impurity

Pavlović, Voja; Šušnjar, Marko; Petrović, Katarina; Stevanović, Ljiljana

doi:10.1016/j.optmat.2018.01.043

Cited by 15 publications

(4 citation statements)

References 64 publications

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“…The BOR-FDTD method is one of the most widely used methods in electromagnetic simulation of structures that contain azimuthal symmetry such as modeling wave propagation through optical lenses [53], resonant cavities [54] and the calculation of spontaneous emission lifetime [55]. A large number of low dimensional semiconductors including spherical, cylindrical, cone-like and multilayered spherical QDs present symmetry around an axis of rotation [56][57][58][59][60][61]. The BOR-FDTD method has a great advantage over the 3D FDTD method for a rotationally symmetric problem, since in this approach a 3D problem is reduced to a numerically solvable two dimensional one.…”

Section: Introductionmentioning

confidence: 99%

Q-BOR–FDTD method for solving Schrödinger equation for rotationally symmetric nanostructures with hydrogenic impurity

Firoozi¹,

Mohammadi²,

Khordad³

et al. 2022

Phys. Scr.

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An efficient method inspired by the traditional body of revolution finite-difference time-domain (BOR-FDTD) method is developed to solve the Schrodinger equation for rotationally symmetric problems. As test cases, spherical, cylindrical, cone-like quantum dots, harmonic oscillator, and spherical quantum dot with hydrogenic impurity are investigated to check the efficiency of the proposed method which we coin as Quantum BOR-FDTD (Q-BOR-FDTD) method. The obtained results are analysed and compared to the 3-D FDTD method, and the analytical solutions. Q-BOR-FDTD method proves to be very accurate and time and memory efficient by reducing a three-dimensional problem to a two-dimensional one, therefore one can employ very fine meshes to get very precise results. Moreover, it can be exploited to solve problems including hydrogenic impurities which is not an easy task in the traditional FDTD calculation due to singularity problem. To demonstrate its accuracy, we consider spherical and cone-like core-shell QD with hydrogenic impurity. Comparison with analytical solutions confirms that Q-BOR–FDTD method is very efficient and accurate for solving Schrodinger equation for problems with hydrogenic impurity

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Section: Introductionmentioning

confidence: 99%

Q-BOR–FDTD method for solving Schrödinger equation for rotationally symmetric nanostructures with hydrogenic impurity

Firoozi¹,

Mohammadi²,

Khordad³

et al. 2022

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…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].…”

Section: Introductionmentioning

confidence: 99%

“…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 .…”

Section: Introductionmentioning

confidence: 99%

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

Bang¹,

Van²,

Xuan³

2019

Comm. in Phys.

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The advent of electromagnetically induced transparency (EIT) offered a new coherent material with exotic and controllable optical properties. Although, studies on single-EIT are described in detail for single-EIT, however, extension from single- to multi- EIT is currently of current interest due to it gains advantages in multi-channel optical communication, waveguides for optical signal processing and multi-channel quantum information processing. In this work, we review recent research works concerning multi-EIT and some related applications, as controlling group velocity of light, giant Kerr nonlinearity, optical bistability. A special attention of the review also gives for analytical interpretations of EIT spectrum, its dispersion and related applications such as EIT enhanced Kerr nonlinearity and optical bistability to give physics insight. From experimental point of view, a latest development for measuring multi-EIT spectrum and its dispersion in hot medium is presented and compared to theoretical analytical representations.

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“…Here, the polarization of the laser fields is chosen in such a way that they couple to the particular energy levels of the configuration and no other levels are considered, thus forming the closed system. For example, in Pavlović et al, 2018, the laser polarization is such that the probe laser excites the transition , while the control laser excites the transition As determined by the selection rules, level decays to the level only, while level undergoes the spontaneous emission exclusively to the level . However, if the polarization of the laser is chosen in a different way, such that the probe laser excites the transition , while the control laser excites the transition , the highest level then decays to the levels , and , which, due to the spherical symmetry of the problem, all have the same energy.…”

Section: Introductionmentioning

confidence: 99%

Slow and fast light propagation through ladder-type atomic media with degenerate energy levels

Filipović

Pavlović

Stevanović

2019

Facta Univ Phys Chem Technol

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We investigate the weak probe pulse propagation through the atomic medium, in the presence of the strong control laser field, under the regime of the electromagnetically induced transparency (EIT). These fields couple to the medium by forming the 3-level ladder configuration. We focus on two distinct cases: closed system, which is a non-degenerate, and open system, where the middle level is 3-fold degenerate, and the additional levels are coupled to the other levels only via spontaneous emission. The spatio-temporal profile of the probe pulse envelope is obtained by using the formalism of Maxwell-Bloch equations with the help of the Fourier transform method. We study the influence of the control field Rabi frequency, the spectral half-width of the initial pulse and decay rates on the propagation of the probe pulse. Several important pulse parameters are also calculated and discussed. It is shown that the group velocity of light can be controlled in such a manner that one can switch from slow to fast light and vice versa when changing the control Rabi frequency and spectral pulse half-width. Moreover, the possibility of replacing the open with an effective closed system is also discussed.

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Electromagnetically induced transparency in a multilayered spherical quantum dot with hydrogenic impurity

Cited by 15 publications

References 64 publications

Q-BOR–FDTD method for solving Schrödinger equation for rotationally symmetric nanostructures with hydrogenic impurity

Q-BOR–FDTD method for solving Schrödinger equation for rotationally symmetric nanostructures with hydrogenic impurity

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

Slow and fast light propagation through ladder-type atomic media with degenerate energy levels

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