Cavity Induced Transparency
We consider a single two-level atom inside an optical cavity, with dissipation present in the form of spontaneous emission to non-cavity modes at rate γ and a cavity field decay rate of k. The atom-field coupling strength is taken to be g. The Jaynes-Cummings Hamiltonian is used with the addition of a term which is a probe field (taken to be weak) coupled directly to the atoms. The cavity is assumed to be tuned to the atomic resonance. We examine the limiting case of a weak probe Y, such that we need only consider the zero- and one-quanta states of the system. These states are 10->, 10+>, I1->. The numerical index labeling the state refers to the number of photons in the cavity field, and the +(−) sign refers to the atom in the excited (ground) state respectively. We refer to this as the three-state basis. In the present work, we are interested in a specific parameter regime, where γ> g > k. Note that g is the intermediate rate, and hence we are not working in a regime where vacuum-Rabi splitting occurs. In the regime we consider, the eigenvalues of the system dynamics are real. We are interested in the steady-state value of ρ0−;0+ as this is proportional to the susceptibility of the atom and hence information about the absorption and dispersion of a weak probe field that is scanned across the atomic resonance.
KeywordsDestructive Interference Coupling Field Cavity Field Atomic Resonance Weak Probe
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