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Quantum Engineering Year 1: Quantum Mechanics Core Month 17Day 473

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Year 1·Month 17·Week 4

Day 473: Harmonic Perturbations

Day 473 of 2,016~11 min read

Learning Objectives

•Solve the time-dependent Schrödinger equation for harmonic perturbations
•Identify absorption and stimulated emission resonances
•Calculate transition rates near resonance
•Understand the rotating wave approximation (RWA)
•Derive Rabi oscillations from exact two-level dynamics
•Connect to laser-atom interactions

Today's Schedule (7 hours)

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Harmonic Perturbation First-Order Amplitude Two Resonance Terms Absorption vs Stimulated Emission Near-Resonance Approximation Transition Rate Fermis Golden Rule for Harmonic The Rotating Wave Approximation RWA Full Hamiltonian Two-Level System RWA Drop Fast-Rotating Terms Rabi Oscillations Exact Two-Level On Resonance 0 Key Results Quantum Computing Connection Single-Qubit Gates via Rabi Oscillations Microwave Control in Superconducting Qubits Trapped Ion Gates

Day 472Day 473 of 2,016Day 474