1. Purdue University Spring 2014 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 16 (3/31/2014) Slide 1yongchen@purdue.edu Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ 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

2. Purdue University Spring 2014 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 16 (3/31/2014) Slide 2yongchen@purdue.edu Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ 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

3. Purdue University Spring 2014 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 16 (3/31/2014) Slide 3yongchen@purdue.edu Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Today’s Plan FQ Student presentation: Roman

4. Purdue University Spring 2014 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 16 (3/31/2014) Slide 4yongchen@purdue.edu Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ 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)

5. Purdue University Spring 2014 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 16 (3/31/2014) Slide 5yongchen@purdue.edu Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Review: optical cavity (frequency  =2  c/ ) Finesse Resonance (R1~R2~R~1)

6. Purdue University Spring 2014 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 16 (3/31/2014) Slide 6yongchen@purdue.edu Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Atom-Cavity coupling (reversible) (irreversible) “2 coupled (damped) oscillators”

7. Purdue University Spring 2014 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 16 (3/31/2014) Slide 7yongchen@purdue.edu Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Weak coupling regime (perturbation/fermi golden rule):Purcell effect resonant far off-resonant:g  0 Purcell factor

8. Purdue University Spring 2014 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 16 (3/31/2014) Slide 8yongchen@purdue.edu Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ http://www.solvayinstitutes.be/Activities/Chairs/LeconsHaroche/Solvay_1.pdf

9. Purdue University Spring 2014 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 16 (3/31/2014) Slide 9yongchen@purdue.edu Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Experimental demo Purcell Effect (semiconductor microcavity)

10. Purdue University Spring 2014 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 16 (3/31/2014) Slide 10yongchen@purdue.edu Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Strong coupling regime If 2  ~A 21

11. Purdue University Spring 2014 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 16 (3/31/2014) Slide 11yongchen@purdue.edu Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Strong coupling: cavity QED ---Jaynes-Cummings Model |g> |e> N atoms: 

12. Purdue University Spring 2014 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 16 (3/31/2014) Slide 12yongchen@purdue.edu Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Recall (strongly-driven) Rabi dressed states (Mollow triplet) Coupled oscillator atom E&M wave (Rabi) atom Cavity

13. Purdue University Spring 2014 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 16 (3/31/2014) Slide 13yongchen@purdue.edu Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Experimental demo strong coupling/cQED (vacuum Rabi splitting) Probe? See also: “vacuum induced transparency (VIT)” Vuletic’11

14. Purdue University Spring 2014 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 16 (3/31/2014) Slide 14yongchen@purdue.edu Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ 2D materials?

15. Purdue University Spring 2014 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 16 (3/31/2014) Slide 15yongchen@purdue.edu Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Applications & Beyond cavities Single photon/atom QI processor Engineer DOS thus emission via photonic nanosturctures (subwavelength), photononic crystals/bandgap metamaterials… low threshold lasers, photovoltaic…

16. Purdue University Spring 2014 Prof. Yong P. Chen (yongchen@purdue.edu) Lecture 16 (3/31/2014) Slide 16yongchen@purdue.edu Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) http://www.physics.purdue.edu/academic_programs/courses/phys522/ Next Lectures Monday: Seminar in BRK Wed 4/23:excitons/color centers?