Andreev Spin Qubit in Junction S - Topological Insulator - S: Wavefunctions, Spin Densities and Optical Transition Amplitudes

This project investigates a Josephson junction (JJ) formed by a superconductor–topological insulator–superconductor structure, where magnetic doping in the topological insulator is modeled as a delta-like magnetic distribution. A key result is that the optical transition amplitudes between Andreev levels are non-zero, demonstrating that magnetic doping effectively hybridizes the Andreev states. This hybridization lifts the spin selection rules and enables optical manipulation of the resulting Andreev Spin Qubit (ASQ), providing a viable route toward coherent control of Andreev bound states. This project investigates a Josephson junction (JJ) formed by a superconductor–topological insulator–superconductor structure, where magnetic doping in the topological insulator is modeled as a delta-like magnetic distribution. A key result is that the overlap coefficients between Andreev levels are non-zero, demonstrating that magnetic doping effectively hybridizes the Andreev states. This hybridization enables optical manipulation of the resulting Andreev Spin Qubit (ASQ), providing a viable route toward coherent control of Andreev bound states.

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