Nonlinear dynamics in quantum optics

Liu, Xunming (2004). Nonlinear dynamics in quantum optics PhD Thesis, School of Physical Sciences, The University of Queensland.

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Author Liu, Xunming
Thesis Title Nonlinear dynamics in quantum optics
School, Centre or Institute School of Physical Sciences
Institution The University of Queensland
Publication date 2004
Thesis type PhD Thesis
Supervisor Professor Gerard Milburn
Total pages 113
Collection year 2004
Subjects L
240402 Quantum Optics and Lasers
780102 Physical sciences
Formatted abstract
In this thesis, I study the classical and quantum nonlinear dynamics of two-level atoms in a donut beam, an evanescent beam guiding atoms in a hollow fiber and atoms in an optical standing wave of high-finesse cavity. The laser fields are far-off-resonant beams. The two dimensional classical nonlinear dynamics of atoms in a donut beam and an evanescent-wave in hollow fiber are investigated. Chaotic dynamics exists for classic dynamics of cold atoms in a donut beam and hollow fiber, when the intensity of the beam is periodically modulated. The atoms will accumulate on several annular regions when the system enters a regime of global chaos. The two dimensional quantum nonlinear dynamics of an atom in hollow fiber are investigated. The quantum system of single atom dynamics in cavity QED is investigated. For continuous observation of the nonlinear dynamics of single atom trapped in a high-finesse cavity by a standing wave with intensity modulation, the conditional Hilbert space dynamics of this system, subject to measurement induced perturbations, depends strongly on whether the corresponding classical dynamics is regular or chaotic. The influence of decoherence due to homodyne measurement is investigated. The evolution of Wigner function shows that the higher order quantum correction terms will play an important role together with potential nonlinearity and measurement strength. The decoherence will result in a remarkable improvement for classical-quantum correspondence.
Keyword Quantum optics
Quantum theory

Document type: Thesis
Collection: UQ Theses (RHD) - UQ staff and students only
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Created: Fri, 24 Aug 2007, 18:34:15 EST