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Lecture 20 (Engineer) Light-matter interaction in cavities and other photonic structures. Reminder: Lecture notes taker : Mikhail Special seminar in BRK for next Monday 4/14 lecture HWK 5 will be posted today, due 4/28 Monday class Paper due Wed 4/30 class

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## Lecture 20 (Engineer) Light-matter interaction in cavities and other photonic structures

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**Lecture 20(Engineer) Light-matter interaction in cavities**and other photonic structures Reminder: Lecture notes taker: Mikhail Special seminar in BRK for next Monday 4/14 lecture HWK 5 will be posted today, due 4/28 Monday class Paper due Wed 4/30 class Final exam plan: self-made 1 eq. sheet permitted Please fill out course evaluation**Course Outline**Part 1: basic review: Optics+Quantum; Part 2: Basic Light-matter interaction; laser; Part 3: Quantum Optics of photons Part 4: More advanced light-matter interaction Part 5: Quantum information/photonics/ applications Subject to change; Check updates on course web/wiki**Today’s Plan**FQ Student presentation: Roman**Review: spontaneous emission (in “free” space)**(fermi Golden rule) Agree with Einstein coeff. • Spontaneous emission: • Stimulated emission by vac. E field! • Related to vac. photon DOS Can engineer this (by cavity or other photonic nanostructure)**Review: optical cavity**Finesse (R1~R2~R~1) Resonance (frequency =2c/)**Atom-Cavity coupling**“2 coupled (damped) oscillators” (reversible) (irreversible)**Weak coupling regime (perturbation/fermi golden**rule):Purcell effect far off-resonant:g0 resonant Purcell factor**http://www.solvayinstitutes.be/Activities/Chairs/LeconsHaroche/Solvay_1.pdf**http://www.solvayinstitutes.be/Activities/Chairs/LeconsHaroche/Solvay_1.pdf**Experimental demo Purcell Effect**(semiconductor microcavity)**Strong coupling regime**If 2~A21**Strong coupling: cavity QED ---Jaynes-Cummings Model**|e> |g> N atoms:**Recall (strongly-driven) Rabi dressed states**Coupled oscillator (Mollow triplet) atom E&M wave (Rabi) atom Cavity**Experimental demo strong coupling/cQED (vacuum Rabi**splitting) See also: “vacuum induced transparency (VIT)” Vuletic’11 Probe?**Applications & Beyond cavities**Single photon/atom QI processor Engineer DOS thus emission via photonic nanosturctures (subwavelength), photononic crystals/bandgap metamaterials… low threshold lasers, photovoltaic…**Next Lectures**• Monday: Seminar in BRK • Wed 4/23:excitons/color centers?

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