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Quantum Engineering Year 1: Quantum Mechanics Core Month 17Day 472

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Year 1·Month 17·Week 4

Day 472: Fermi's Golden Rule

Day 472 of 2,016~11 min read

Learning Objectives

•Derive Fermi's Golden Rule from first-order perturbation theory
•Understand the role of the density of states
•Calculate decay rates for various systems
•Apply the golden rule to atomic transitions
•Connect to spontaneous emission rates
•Understand the validity conditions for the golden rule

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From Discrete to Continuum The Sinc Function Limit Transition Rate Density of States Fermis Golden Rule Derivation Details Summing Over Final States Validity Conditions Density of States Examples Free Particle in 3D Photon Density of States 1D 2D 3D Comparison Quantum Computing Connection Qubit Decay Rates Purcell Effect State Readout

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