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Driving of Quantum Hamiltonian Relative to The One Dimentional Cavity With Oscilating Mirror and Semi-Transparent Mirror

Bathaee, Marzieh Sadat | 2009

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 39709 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Bahrampour, Alireza
  7. Abstract:
  8. The concept of entanglement exists in the common area of the quantum optics and quantum information. Quantum optics is the best tools for investigating of this quantum informational phenomenon experimentally. One of the instruments that let us observes experimentally macroscopy entangeled state is Fabry-Perot Cavity. Striking of photons with the mirror of cavity transfer effective mommentom to it, and oscilating of mirror creates new modes: stocks and anti-stocks modes. Studing quantum state of these modes shows the entangling between photon and phonon (oscilating of mirror) modes. We assume that light beam enters the cavity from a semi-transparent mirror. So cavity is the system with quantum noise and dissipation. Hamiltonian that usually is allocated to this system is known as Gardiner-Collet Hamiltonian. This Hamiltonian is written phenomenologically. In this thesis, we explore cavity Hamiltonian with semi-transparent mirror by calculating in and out electromagnetic field of cavity directly. Our system wouldn’t be a close system and it has coupling with the surrounding environment. Then, we calculate Hamiltonian of a cavity with a semi-transparent mirror in one side and an oscillating mirror in another side without directly considering the optical and mechanical coupling term, and by only considering the boundary conditions. We first directly calculate Hamiltonian in terms of universal modes, and then we rewrite it in terms of complete cavity (without loss) bases and calculate the environmental coupling coefficients. The optomechanical coupling causes instability in the cavity and introduces new stocks and anti-stocks modes in cavity
  9. Keywords:
  10. Fabry Perot Cavity ; Quantum Dissipation ; Coupling Coefficient Between Cavity and Environment ; Optomechanical Coupling ; Cavity Hamiltonian with Movable Mirror ; Anti-Stocks Mode ; Quantum Noise

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