QM · Ch 9 · Resonant Rabi oscillation probability

Physics · Quantum Mechanics · Griffiths Ch 9

Problem

A two-level atom has ground state ∣1⟩|1\rangle and excited state ∣2⟩|2\rangle separated by ℏω0\hbar\omega_0. It is driven on resonance (ω=ω0\omega = \omega_0) by a classical field producing Rabi frequency ΩR\Omega_R. The system starts at t=0t=0 in ∣1⟩|1\rangle with amplitudes c1(0)=1c_1(0)=1, c2(0)=0c_2(0)=0. Find the transition probability P1→2(t)=∣c2(t)∣2P_{1\to 2}(t) = |c_2(t)|^2.

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