Spin–photon coupling in cavities
A microwave photon can mediate distant spin interactions.
$$H/\hbar=\omega_r a^\dagger a+\frac{\omega_q}{2}\sigma_z+g_s(a^\dagger\sigma_-+a\sigma_+)$$
Physical intuition
A microwave photon can mediate distant spin interactions.
Deep dive: physical mechanism
Electric coupling to a resonator becomes spin coupling through spin–charge hybridization.
What is measured experimentally?
Vacuum Rabi splitting and dispersive shifts indicate coupling.
Assumptions, noise and limitations
Stronger spin–charge mixing can increase charge-noise sensitivity.
Research and simulation exercise
Diagonalize the one-excitation Jaynes–Cummings block.
Connect the ideas
Explore the chapter overview, learning path, and references.