Electronic Thesis/Dissertation
 

Interaction of quantum vortex beams with matter

Open Access

The excitations in atomic, nuclear and semiconductor structures with orbital angular momentum carrying photons are analyzed. The violations of the conventional set of angular momentum selection rules are derived and discussed in detail for all three types of structures. In the case of atoms and ions, fine and hyperfine coupling are accounted for by means of the multipole expansion of partial transition amplitudes. The theory is developed for arbitrary beam polarization, alignment of the beam's optical axis with respect to the target's quantization axis, and transition multipolarity. The approach is extrapolated to semiconductor structures using the Luttinger formalism. Spin polarization anomalies for electrons photo-excited by twisted light in $\Gamma$-point in zinc-blende GaAs are revealed. Unusual sensitivity to the twisted beam polarization content, and radial and axial positioning of the target in the beam profile, are identified and studied in detail. The phenomenon of circular dichroism due to twisted beam topology during propagation in isotropic matter is predicted and analyzed. Three families of modes are considered and analyzed: Bessel, Bessel-Gauss and Laguerre-Gauss. The results are applicable in a wide range of studies: spectroscopy, metrology, quantum computing and communications, cybersecurity and more.

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