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Quantum Engineering Year 1: Quantum Mechanics Core Month 17Day 475

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Year 1·Month 17·Week 4

Day 475: Spontaneous Emission

Day 475 of 2,016~12 min read

Learning Objectives

•Derive the spontaneous emission rate using Fermi's Golden Rule
•Calculate Einstein A coefficients for atomic transitions
•Understand the role of vacuum fluctuations
•Compute oscillator strengths and their sum rule
•Calculate atomic lifetimes from first principles
•Connect to qubit T₁ relaxation mechanisms

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The Puzzle of Spontaneous Emission Quantized Electromagnetic Field Vacuum State Atom-Field Interaction Spontaneous Emission Initial and Final States Matrix Element Applying Fermis Golden Rule Sum Over Final States Polarization Sum Einstein A Coefficient Natural Lifetime Oscillator Strength Definition Relation to A Coefficient Thomas-Reiche-Kuhn Sum Rule Applications Hydrogen 2p 1s Transition Natural Linewidth Quantum Computing Connection Qubit T Relaxation Purcell Enhancement Purcell Suppression Circuit QED Design

Day 474Day 475 of 2,016Day 476