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Here we analyze a J=1 state subject to crossed electric and magnetic fields. The effects of Stark mixing on the sublevels of a single state can be accounted for to second order in the electric field by writing an effective Hamiltonian in terms of the polarizability of the atomic state.

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Define the atomic system. The state is assumed to have a tensor polarizability but no scalar polarizability.

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The Hamiltonian for the system subject to the magnetic and electric fields. We must explicitly specify the "Polarizability" interaction, because it is not included by default.

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