Photonic Crystal Cavity Quantum Optic in the Very Strong Coupling Regime

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Ahmadi, Elaheh | 2010

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 40777 (05)
University: Sharif University of Technology
Department: Electrical Engineering
Advisor(s): Khorasani, Sina
Abstract:
First, we peruse the intraction between a quantized light and a two level atom which has been described by Janes-Cummings-Paul Hamiltonian. By solving Heisenberg equations in Fourier space and describing electric field by a generalized-transverse Green function, we obtain spectral density for a quantum dot which is in the strong coupling to a slab photonic crystal cavity. Afterward, by solving Shrouding equations precisely we demonstrate when quantum dot is in a very strong coupling to cavity, rotate wave approximation is not reliable anymore. It means that if coupling constant gets comparable to cavity mode frequency then the prevalent approach to solve this Hamiltonian will not be correct. Moreover, in the following we study Carbon nanotube photonic crystals. To this aim, we consider a square photonic crysal made of multi wall carbon nanotubes; and obtain its band structure by using finite deference time domain approach.
Keywords:
Carbon Nanotubes ; Photonic Crystal ; Strong Coupling ; Quantum Electrodynamics ; Rabi Splitting Frequency