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Optics and Spectroscopy

Dependence of light polarization quantum beats induced by anisotropic relaxation on the symmetry group of the environment

A. Yu. Artem’ev, O. I. Fisun

Published Jul 1, 1991• 0 citations
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The optically induced magnetic moment of a stationary atom is calculated as a function of time and the resonance detuning ω-ω ba to within a constant factor having the dimensions of a magnetic moment based on the symmetry of an atom in the field of a resonant light pulse and symmetry with respect to time reversal including the initial conditions. The even dependence of the optically induced magnetic moment on ω-ω ba for an elliptically polarized pulse with an isotropic initial state of the atom and its odd dependence on ω-ω ba in the case of a linearly polarized pulsed with an anisotropic initial state in the atom’s alignment are shown to be consequences of symmetry with respect to time reversal and the initial conditions. This behavior is retained even after passage of the light pulse, when the resulting relaxation destroys the time reversal symmetry. The optically induced magnetization of an atomic gas is found to have analogous properties.
We study the quantum dynamics of mixed polarization states represented by the two-mode boson system interacting with an environment. Using the form of general dynamical equations for averaged operators that preserve normal ordering, we show that the dynamical regimes of the averaged Stokes operators crucially depend on the anisotropy of the relaxation operator resulting from the intermode coupling induced by the anisotropic environment. We analyze how this coupling impacts the quantum bit error rate in the well-known single-photon polarization-coding quantum key distribution protocol BB84.