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Behavior Patterns Analysis of Cavity Quantum Electro-Dynamics in Complex Systems for Different Coupling Regimes

Alidoosty Shahraki, Moslem | 2012

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 43766 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Khorasani, Sina
  7. Abstract:
  8. In this M.Sc. thesis the behavior patterns of the cavity quantum electrodynamics of complex systems are analyzed, such systems are quantum optic multi-partite systems and consist of an arbitrary number of quantum dots in interaction with arbitrary number of cavity modes.
    First, the coefficients matrix of the ket sate of the system was measured, in order to achieve it; the general time-dependent state of the most general possible system was specified. Its related Hamiltonian was written, and finally the Schrodinger equation was measured in different coupling regimes. It was done in Schrodinger picture without any approximation.Second, the presence probabilities of the quantum dots of any arbitrary system in their different energy level states were measured, furthermore to study the behavior of the system, expectation values of field and atomic operators were computed, also the expectation value of commutator of atomic ladder operators was measured which is used for studying the entanglement of quantum optic systems.In the first chapter there is a review about Cavity QED of quantum optic systems, there is also a brief description of different coupling regimes, how to produce higher coupling regimes and available applications of different coupling regimes. In the last part of this chapter the describing model of these systems is reviewed, its generalizations and role in studying the entanglement of quantum complex systems is explained afterward.In the second chapter necessary equations to study the most general system are extracted, and then to use the equations the related and required MATLAB codes are written.In the last or third chapter a Cavity QED of a quantum optic system consists of two uantum dots in interaction with a cavity mode is analyzed by both handwork and provided softwares to compare the results, then for the first time the behavior of a real quantum optic system as well as a multi-partite CQED system consists of six quantum dots in interaction with one cavity mode are studied and compared in different coupling regimes
  9. Keywords:
  10. Cavity Quantum Electrodynamics ; Quantum Dot ; Chaos Theory ; Entanglement ; Ultra-Strong Coupling Regime ; Weak Coupling Regime ; Strong Coupling Regime ; Quantum Potential Well ; Cavity Mode ; Jaynes-Cummings-Paul

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