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physica status solidi (a)

Dipole–dipole interaction in nanoscale photonic quantum wells

Mahi R. Singh

Published Apr 21, 2009• 3 citations
Publisher

Abstract

Abstract The dipole–dipole interaction (DDI) has been studied in photonic quantum wells are simulated from two photonic crystals say A and B. An ensemble of nanoparticles is doped within the quantum well layer. Nanoparticles are interacting with each other via DDI. The absorption spectrum has been calculated by using the time dependent Schrodinger equation method. A probe field is applied to measure the absorption spectrum. Numerical simulations for the absorption coefficient have been performed. It has been found that in the absence of DDI the spectrum has two peaks and a minimum at zero detuning. However, in the presence of the large DDI coupling both peaks disappear and a large minimum appears. This means that the positions and heights of peaks can be changed due to DDI interaction. This study can be used to make new types of optical devices. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

DOI
10.1002/pssa.200881342

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Abstract The dipole–dipole interaction (DDI) has been studied in photonic quantum wells are simulated from two photonic crystals say A and B. An ensemble of nanoparticles is doped within the quantum well layer. Nanoparticles are interacting with each other via DDI. The absorption spectrum has been calculated by using the time dependent Schrodinger equation method. A probe field is applied to measure the absorption spectrum. Numerical simulations for the absorption coefficient have been performed. It has been found that in the absence of DDI the spectrum has two peaks and a minimum at zero detuning. However, in the presence of the large DDI coupling both peaks disappear and a large minimum appears. This means that the positions and heights of peaks can be changed due to DDI interaction. This study can be used to make new types of optical devices. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Abstract We have studied the absorption phenomenon in photonic quantum wells doped with an ensemble of three‐level nanoparticles. Photons are confined in the quantum well due to the band structure engineering. The bound states of the confined photon are calculated by using the transfer matrix method and it is found that the number of bound states in the quantum well depends on the size and the depth of the quan tum well. A probe lasers is applied to monitor the absorption spectrum. Nanoparticles are interacting with the bound photons within the quantum well. It is found that when the resonance energy of nanoparticles lies near the ground bound state, the system becomes transparent. These properties can be used to make new types of optoelectronic devices. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
The effect of the dipole-dipole interaction (DDI) on absorption processes has been investigated in photonic nanowires. They are manufactured by embedding a photonic crystal into another crystal. The embedded crystal is doped with an ensemble of three-level quantum dots. A probe field is applied to monitor the absorption coefficient. A control field is applied to induce dipole moments in quantum dots. Owing to these fields dipoles are induced in quantum dots, and they interact with each other via the DDI. Quantum dots also interact with bound photon states of the nanowire via the electron-bound photon interaction. It is found that the system can be switched from a transparent state to an absorbing state through the DDI. The switching mechanism can be controlled by changing the location of a resonant energy in the quantum dots.
We study the coupling between quantum dots through the dipole–dipole interaction in photonic nanofibers manufactured by embedding a dielectric material into a photonic crystal. The embedded dielectric material is doped with an ensemble of three-level quantum dots. A probe field is applied to monitor the absorption, and a control field is applied to induce dipole moments in quantum dots. Dipoles are induced in quantum dots due to the external fields, and they interact with each other via the dipole–dipole interaction. Quantum dots also interact with the nanofiber through the electron–bound photon interaction. The absorption coefficient has been calculated using the density matrix method, and the dipole–dipole interaction has been evaluated in the mean field approximation. It is found that the absorption spectrum splits from one peak to two peaks by the dipole–dipole interaction. The splitting of peaks can be controlled by either the resonance energy of quantum dots or bound photon states of the nanofiber.
A theory of nonlinear phenomena has been developed for a photonic crystal in the presence of a pump and a coupling laser field. The crystal is doped with an ensemble of four-level nanoparticle impurities. It is considered that the impurity particles are not only interacting with the photonic crystal but also with each other via dipole-dipole interaction. An expression for the susceptibility has been obtained using the density matrix method. The nonlinear effects due to the coupling and the pump fields have been included in the formulation. The absorption spectrum has been calculated in the presence of the strong coupling and pump fields for an isotropic photonic crystal made from dielectric spheres. The photonic crystal has a gap to midgap ratio of about 21%. It is predicted that the absorption spectrum in the photonic crystal can have zero, one, two or three absorptionless states by tuning one of the transition energies within the bands. This is an interesting phenomenon which can be used to make photonic switching devices. We have also calculated the absorption spectrum in the presence of the dipole-dipole interaction. It is found that a symmetric absorption spectrum changes to an asymmetric one due to this interaction. It is also found that there is a large enhancement in the absorption and the dispersion simultaneously for certain values of the detuning and concentration.
A theory of photon trapping has been developed in photonic band-gap (PBG) and dispersive polaritonic band-gap (DPBG) materials doped with an ensemble of five-level atoms. These materials have gaps in their photon energy spectra. The atoms are prepared as coherent superpositions of the two lower states and interact with a reservoir and two photon fields. They also interact with each other by dipole-dipole interaction. The Schrödinger equation and the Laplace transform method are used to calculate the expressions for the number densities of the atomic states. Numerical simulations for a PBG material reveal that when the resonance energies lie away from the band edges and within the lower or upper bands, trapping is observed at certain values of the relative Rabi frequency associated with the two fields, which vary depending on the strength of the dipole-dipole interaction between the atoms. Also, if the photon fields are held constant, the population densities of the excited states of the atoms increase with increasing dipole-dipole interaction. These are very interesting phenomena. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
We have studied the effect of plasma energy on the absorption coefficient of metallic photonic crystals doped with an ensemble of three-level quantum dots, which are interacting with each other via dipole-dipole interaction. The quantum dots are also interacting with coupled plasma-photon modes present in the system. A probe laser field is applied in order to study the absorption coefficient. We also consider the effect of quantum interference in our simulations, whereby two absorbed photons interfere with one another. Here the density matrix method has been used to calculate the steady-state and transient behavior of the absorption coefficient for the system. Two different field configurations are considered in our numerical simulations. In the first configuration, a probe field couples the ground state and two closely excited states. Absorption occurs due to transitions from the ground state to the two excited states. It is found that the position of the transparent peak moves when the plasma energy is changed. In other words, changing the plasma energy causes the system to switch between a transparent and an absorbing state. The strong coupling between plasmons and the quantum dots is responsible for this phenomenon. In the second configuration, the probe field couples with only one excited state, while a pump field couples to the other excited state. The transition between excited states is dipole forbidden. We observed that the peak in the absorption profile splits into two and also that the system exhibits gain with inversion due to the change in the plasma frequency, which is caused by quantum interference and coherence. These are interesting results and can be used make nanoscale plasma devices.