Quantum control of atomic systems by time resolved homodyne detection
Abstract
We investigate the properties of ideal projective balanced homodyne detection measurements on low intensity light fields emitted by individual atomic systems during short time intervals. A model for time resolved photon emissions based on Wigner-Weisskopf theory is used to describe the emission process. The back- action of this emission process is analytically described as a quantum diffusion of the Bloch vector. It is shown that the evolution of the atomic wavefunction can be controlled completely using the results of homodyne detection. This allows the stabilization of a known quantum state or the creation of coherent states by a feedback mechanism. However, the feedback mechanism can never compensate the dissipative effects of quantum fluctuations even though the coherent state of the system is known at all times.Keywords
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