In this paper we introduce a coupled system of two quantum bits residing at the interface of a heterostructure device.
The structure encompasses a reference quantum bit, a photonic/plasmonic crystal waveguide and an obedient
quantum bit. Each quantum bit is an electronic device which is designed based on an anti-dot lattice of two-dimensional
electron gas in heterostructures. By applying a potential gate in the aforementioned structure it is
possible to control electronic tunneling rate and hence quantum bits' swapping frequency. Coupling through the
plasmonic waveguide may be employed to entangle quantum bits. The waveguide has been designed by exploiting
conducting islands of two-dimensional electron gas in a host of layered semiconductor heterostructure, behaving
effectively as a patterned metallic thin film. The plasmonic characteristic is here modeled by Drude dispersion
which obviates the required frequency dependency of our case. Employment of a plasmonic crystal waveguide
benefited from plasmonic nature instead of regular dielectrics decreases the dimensions ten-fold, which helps the
structure's size to come within the range of practical fabrication technologies. In order to estimate the evolution of
the entangled state of the pair of quantum bits, it is necessary to estimate the coupling coefficient between electronic
and optical subsystems. This parameter can be regarded as a design goal of matched electronic and optical
structures, and has been discussed in detail for the optimization purposes. In the present work, both plasmonic and
electronic properties are investigated. For simulating different sections, revised guided mode expansion (RGME)
and finite difference time domain (FDTD) methods are employed.
In this work, a GaN-based quantum well LED is theoretically analyzed in a multi-layer structure composed of a quantum
well embedded in a waveguide core surrounded by photonic crystal slab and a sapphire substrate. The electromagnetic
eigenmodes are obtained throughout above structure via revised plane wave-scattering matrix method. The
omnidirectional transmission and reflection are investigated for both TE and TM polarizations from diffraction channels
in Ewald construction. Then, we introduced angular power density and calculated radiative modes extraction efficiency.
All structural parameters, such as lattice geometry, lattice constant, photonic crystal thickness and filling factor, are
taken into account. We also investigated the coupling efficiency between waveguide modes and Bloch modes in
structure which include decomposed emission and extraction regions. In order to design a quantum well white LED, we
used a MQW with adjusted material composition. The photoluminescence spectrum for both TE and TM polarizations is
obtained through a combination of k.p perturbation and transfer matrix method.
A novel plane-wave-based approach for analytical treatment of dispersive relation is developed and applied to analyze
the behavior of electromagnetic waves in plasmonic-photonic-crystal slabs. Here Drude model is used for describing
frequency dependent permittivity of plasma rods in host dielectric medium. In the present work, dispersion relation
below and above the light line is calculated approximately by means of Maxwell-Garnett effective medium and Revised
Plane Wave Method (RPWM). The eigen-functions are then used in Revised Guided Mode Expansion (RGME) as the
set of orthonormal bases. Following this procedure, the accurate band structure is obtained. In these kind of methods
there are two main sources of error: stair-casing error due to discretization and numerical dispersion due to calculation
of frequency domain dielectric matrix elements with finite number of bases. Sub-cell averaging and harmonic inversion
methods are suggested to overcome these errors. For investigation purpose we apply this approach for calculating
photonic dispersion of dispersive and non-dispersive photonic crystal slabs. Resulted band structures are verified by
conventional FDTD method as well.
In this paper we analyze a disk-like quantum dot embedded in an engineered two-dimensional (2D) photonic crystal
cavity as an artificial atom. In this quantum dot electron and hole form an exciton where photon and electron-hole bound
state can interact. Within the engineered electromagnetic vacuum of the PBG material, the exciton can emit and reabsorb
a virtual poton. If the exciton energy lies near in the photonic band gap edge the exciton level splits into two levels. The
dressed state exciton exhibits a lower energy than that of bare exciton. Here energy associated with dressed exction is
evaluated.
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