Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics &

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Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) Lecture 7 Light-Matter Interaction 1: Radiative Transitions (Atoms & Molecules) Reminder: HWK2 due Lecture notes taker

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) 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

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) This Lecture Radiative transition in atom (2-level) (FQ Chap ; also helpful: FS Appendix B) Transitions on Molecules (FS Chap 8.2)

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) Classical & Semiclassical L-M interaction 00 Classical Semi-Classical (Lorentz)dipole oscillator model

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) “Driven damped Harmonic Oscillator” Powerful mechanical analogue of L-M interaction γ

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) γ “Driven damped Harmonic Oscillator”

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) (FS Chap 1)

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) +

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”)

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) Now move on to quantum (semiclassical) Last quiz: average 30% molecule

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) Semiclassical Light-Matter interaction: Einstein Coefficients (Planck blackbody) (FQ Ch4/FS App-B)

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) Radiative Transition Rates Fermi Golden Rule (DOS of final state: light (photon) +matter [neglect if discrete]) X-polarized:

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) Selection Rules (even/odd)(orbital)

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) “forbidden” transition Metastable state Fluorescence phosphorescence Transition matrix element

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) Also can engineer DOS g to control transition rates! cavityPhotonic crystal (bandgap)/ Metamaterials …

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) Molecules & molecular solids

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) Jablonski Diagram Singlet Triplet SO coupling

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) (X) 1 Σ (2) 1 Σ (2) 3 Σ (1) 3 Σ (3) 1 Σ LIF excitation

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) Heaters Li 550 ̊ C Rb 300 ̊ C Rb 300 ̊ C Cooling water PMT Monochromator λ -meter Molecular Spectroscopy in a heat-pipe ( 7 Li 85 Rb) (A) Laser Induced Fluorescence (LIF) (B) Excitation Spectroscopy Laser LIF Laser

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) Korek et al., Chem Phys Laser Induced Fluorescence (LIF) Dutta et al., Chem Phys Lett (2011), doi: /j.cplett From low v’ levels of B 1 Π state

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) Fluorescence from successively higher vib. (1) 1 П states PR v PR

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) Franck-Condon Overlap of Vibronic state

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) Photo-association laser

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) PA rate of 7 Li near FR a > 0a < 0 I = 1.65 W/cm 2 v’’ = 83 T ~ 10  K v’’ = 84 v’’ = 83 v’’ = 82 ~10 4 M.Junker et al., PRL 2008

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) v’’ r r E RcRc 2S 1/2 + 2S 1/2 2S 1/2 + 2P 1/2 Why the zero? f(R c )R~ 2 big small Rate depends on ground state wavefunction (Franck- Condon) Bohn and Julienne PRA 60, 414 (1999).

Purdue University Spring 2014 Prof. Yong P. Chen Lecture 6 (2/5/2014) Slide Introduction to Quantum Optics & Quantum Photonics PHYS522 ECE695 (“Coherent Optics & Quantum Electronics”) Next Lecture (8): Light Matter Interaction --- Solids (interband transition) FS Chap 3.