| dc.description.abstract | This thesis present anti-Jaynes interaction, an interaction where anti-rotating light mode
couples to a two-level atom. The anti-bunching properties of the anti-Jaynes-Cummings
model was explicitly demonstrated, a model which researchers have always shied away
from studying due to the notion that it was non-energy conserving. The energy conservation
property was recently addressed hence creating a wider gap which need to be
addressed. The anti-Jaynes-Cummings interaction was redefined as a generator of the
anti-polariton qubit. Anti-polariton qubit is a two-state quantized particle specified by
state vectors, Hamiltonian, conserved excitation number, identity, state transition, U(1)
symmetry operators. Formation of anti-polariton qubit involves absorption or emission
of negative energy photon by field mode triggered by initial emission or absorption of
negative energy photon by the atom. Superposition of qubit state vectors provides the
eigenvectors and eigenvalues of the anti JC Hamiltonian. The mean photon number,
photon number fluctuation, density operator and atomic inversion are easily evaluated.
The result of the mean and its fluctuation were used in the Mandel operator to explicitly
demonstrate the anti-bunching properties of the anti-JC interaction. Exact solution
of the long standing problem is of importance in understanding the statistical properties
and physical properties of the interacting two level atom system which shall be of
great importance in the optimization of the technological application, especially in the
emerging areas of quantum teleportation and quantum computing. Attention can now
be refocused in studying the practical application of the anti JC model such as quantum
computing. | en_US |
