1. Lecture 11 Semi Classical 2-level system (Light-Atom interaction): Rabi & Bloch; atom, QD & NMR

2. Today’s Plan Review 2-level system (Schordinger eq, Rabi, Bloch)
[FQ Chap 9; Blasing lecture 12]
Application to NMR
[FQ Appendix E]
NMR/spin picture to understand 2-level system (Schordinger eq, Rabi etc) in Pauli matrices [after rotating frame transformation]

5. Dipole transition
TDSE in c1,c2:

6. Weak Field Limit/Einstein Coefficients
1~ ~0
RWA

7. 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)

8. Damped Rabi oscillation
Large t behavior:
(small )
Connects to weak field/Einstein
~t (small t)
(resonant & moderate damping [cf.Loudon])

9. 2-level (Rabi) on Bloch Sphere
(“rotating frame”)
(“pulse area”/rotation angle)
1-qubit operation
“pi-pulse”
“pi/2-pulse”

10. Experimental optical 2-level Rabi
Atom
(Mollow triplet)

11. Experimental optical 2-level Rabi
Quantum Dot (artificial atom)

12. Experimental optical 2-level Rabi
Quantum Dot (artificial atom)

13. (L~ )

14. Larmor Precession

15. (NMR) Rotating Frame
(Rabi oscillation)

16. (NMR) Bloch Equation
Optical analogue: optical Bloch equation

17. Pauli Matrices (spin-1/2)Bx By Bz
Simplest way to understand 2-level TDSE (after rotating frame)

18. Dressed State Adiabatic passage (Landau Zener transition)
Read Chap 5 in Steck book:

19. Experimental optical 2-level Rabi
Atom
(Mollow triplet)