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Cavity Quantum Electrodynamics in Photonic Crystals with Dirac Point in Bandstructure

Aram, Mohammad Hassan | 2015

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 47394 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Khorasani, Sina
  7. Abstract:
  8. One of the attractive fields of applied quantum mechanics in recent two-three decades is the field of quantum computing. Up to now different substrates have been proposed for a quantum computer. One of them is cavity quantum electrodynamics in which some quantum systems with finite energy states like atoms interact with quantized Bosonic modes like photons inside a cavity. In this dissertation we study a particular structure in this substrate. This structure consists of some quantum dots inside coupled cavities. Since we would like to build these cavities in a photonic crystal slab, we first introduce two new methods for analysis of this type of crystals. These methods are much faster than standard popular methods. In the first method we use Green’s function to change differential equations to their integral counterparts. This reduces memory reading of the prossecor which decrease computation time significantly. In the second method we use variational principle. In this method we choose a smarter trial function for photonic crystal slab analysis which reduces the amount of computation. Next we show how we can construct a supercrysal with Dirac cones at the corners of the Brillouin zone by positioning these cavities inside a triangular lattice. Since dispersion is linear near Dirac point, this simplifies the analysis of the proposed structure. Finally we investigate the quantum dot behavior inside the designed supercrystal and how it interacts with Dirac cone modes
  9. Keywords:
  10. Cavity Quantum Electrodynamics ; Strong Coupling ; Photonic Crystal Slab ; Dirac Point

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