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Journal of Experimental and Theoretical Physics

Quantized motion of atoms and molecules in electromagnetic fields

A. P. Botin, A. P. Kazantsev, Vladimir S. Smirnov

Published Jul 1, 1976• 0 citations
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Europhysics Letters (EPL)•Dec 1, 2001•1 citation
The reduced dynamics of an atomic qubit coupled both to its own quantized center of mass motion through the spatial mode functions of the electromagnetic field, as well as the vacuum modes, is calculated in the influence functional formalism. The formalism chosen can describe the entangled non-Markovian evolution of the system with a full account of the coherent back-action of the environment on the qubit. We find a slight increase in the decoherence due to the quantized center of mass motion and give a condition on the mass and qubit resonant frequency for which the effect is important. In optically resonant alkali-metal atom systems, we find the effect to be negligibly small. The framework presented here can nevertheless be used for general considerations of the coherent evolution of qubits in moving atoms in an electromagnetic field.
In general, decoherence destroys quantum-mechanical interference originating from the coherent superposition of complex probability amplitudes. In this paper we show how decoherence of a quantized electromagnetic field inside a cavity influences atomic motion. This motion is entangled with the internal states of the atom and with the quantized field via the Jaynes-Cummings interaction. As a result, we present the effect of generating coherence in the subspace of the atomic motion via decoherence of the cavity field. The quantum trajectory method is used for the description of the relaxation process.