Concept 19 of 42 · Silicon, Germanium and Donor Qubits

Donor electron and nuclear spins

Single dopant atoms can host localized spin memories.

01 / Mathematical framework
$$H=A\mathbf S\cdot\mathbf I+g_e\mu_B\mathbf B\cdot\mathbf S$$

Physical intuition

Single dopant atoms can host localized spin memories.

Deep dive: physical mechanism

Hyperfine coupling links a donor electron to its nuclear spin.

What is measured experimentally?

ESR and NMR spectroscopy resolve hyperfine transitions.

Assumptions, noise and limitations

Placement precision and donor–interface coupling affect reproducibility.

Research and simulation exercise

Diagonalize the electron–nuclear hyperfine Hamiltonian.

Connect the ideas

Explore the chapter overview, learning path, and references.

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