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Lecture 19 Semi Classical 2-level system (Light-Atom interaction): Rabi & Bloch; atom, QD & NMR. Reminder: Lecture notes taker: Nick G HWK4 due today. Course Outline. Part 1: basic review: Optics+Quantum; Part 2: Basic Light-matter interaction; laser; Part 3: Quantum Optics of photons
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Lecture 19Semi Classical 2-level system (Light-Atom interaction): Rabi & Bloch; atom, QD & NMR Reminder: Lecture notes taker: Nick G HWK4 due today
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 • Review 2-level system (Schordingereq, Rabi, Bloch) [FQ Chap 9; Blasing lecture 12] • Application to NMR [FQ Appendix E] • NMR/spin picture to understand 2-level system (Schordingereq, Rabi etc) in Pauli matrices [after rotating frame transformation]
Dipole transition TDSE in c1,c2:
Weak Field Limit/Einstein Coefficients 1~ ~0 RWA
Arbitrary/Strong Field –Rabi Flop resonant TDSE with RWA (resonant Rabi osci/flop) Non-resonant Rabi oscillation (reduced amplitude) [not able to completely flop/drive to excited state] |c1|2=1-|c2|2 (non-resonant Rabi frequency)
Damped Rabi oscillation Large t behavior: (small ) Connects to weak field/Einstein ~t (small t) (resonant & moderate damping [cf.Loudon])
2-level (Rabi) on Bloch Sphere (“rotating frame”) • (“pulse area”/rotation angle) • 1-qubit operation • “pi-pulse” • “pi/2-pulse”
Experimental optical 2-level Rabi Atom (Mollow triplet)
Experimental optical 2-level Rabi Quantum Dot (artificial atom)
Experimental optical 2-level Rabi Quantum Dot (artificial atom)
(NMR) Rotating Frame (Rabi oscillation)
(NMR) Bloch Equation Optical analogue: optical Bloch equation
Pauli Matrices (spin-1/2) Bx By Bz Simplest way to understand 2-level TDSE (after rotating frame)
Dressed State • Adiabatic passage • (Landau Zener transition) Read Chap 5 in Steck book: http://atomoptics.uoregon.edu/~dsteck/teaching/quantum-optics/
Experimental optical 2-level Rabi Atom (Mollow triplet)