As both the SG and DS experiment obey the superposition principle, is it possible that Stern Gerlach experiment with single atom will show the phenomena like that of the ‘which way’ experiment, i.e. the single electron (atom) will be available simultaneously at both spin states?
Any atom is in a superposition of its possible spin states, to begin with. Depending on any subsequent measurements, these superpositions evolve in the usual way and are affected by measurements the usual way.
In SG experiment, initially an atom, which is in a superposition of two spin states, propagates simultaneously along two trajectories. Then, due to the decoherence, it will move along one of these trajectories.
It means decoherence happens before the application of magnetic field?
Article Observation of Free-Space Single-Atom Matter Wave Interference
Please find this paper that performed with single atoms.
No, in SG two trajectories originate due to the action of a nonuniform magnetic field on the atomic spin.
So, the two trajectories are not possible with a single atom due to it's decoherence by the magnetic field, is it?
No. Two trajectories with a single atom are generated by the non-uniform magnetic field. Interaction with the environment causes decoherence.
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