Concept 20 of 42 · Silicon, Germanium and Donor Qubits

Isotopic purification and hyperfine noise

Removing spinful isotopes can reduce nuclear-spin noise.

01 / Mathematical framework
$$H_{\rm hf}=\sum_j A_j\mathbf S\cdot\mathbf I_j$$

Physical intuition

Removing spinful isotopes can reduce nuclear-spin noise.

Deep dive: physical mechanism

A nuclear-spin bath creates fluctuating effective magnetic fields.

What is measured experimentally?

Ramsey and echo decay reveal bath-induced dephasing.

Assumptions, noise and limitations

Charge and electrical noise remain even in isotopically purified material.

Research and simulation exercise

Simulate quasistatic Overhauser-field dephasing.

Connect the ideas

Explore the chapter overview, learning path, and references.

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