"Quantum Optics and Cold Atoms" (In English)
Lecturer: Giovanna Morigi
Exercises and tutorium: Thomas Fogarty and Oxana Mishina
Monday 10:00 - 12:00 Uhr, Gebäude E2 6, Seminarraum E04
Tuesday 12:00 - 14:00 Uhr, Gebäude E2 6, Seminarraum E 04
The first lecture takes place on Monday, April 14th at 10:00 in Geb. E26, Lecture Room E04.
Exams: Oral exams. Requirement: >50% of points collected in all exercise sheets. Date will be fixed with the examiners (G. Morigi and T. Fogarty).
Monday 9th June : Holiday-No Lecture
Tuesday 10th June : 1 hour lecture + 1 hour exercise class (finish exercise sheet 3)
Monday June 16th & Tuesday June 17th: lectures
Monday June 23rd: lecture
Tuesday June 24th: lecture
Monday June 30th: lecture
Tuesday July 1st: Exercise class + Tutorium
Monday July 7th: lecture
Tuesday July 8th: lecture
Monday July 14th: lecture
Tuesday July 15th: Exercise class + Tutorium
Monday July 21st: lecture
Tuesday July 22nd: lecture
- QOCA1.pdf(Date: 16.4.14, Class: 28.4.14)
- QOCA2.pdf(Date: 6.5.14, Class: 13.5.14)
- QOCA3.pdf(Date: 29.5.14, Class: 3.6.14)
- QOCA4_part1.pdf(Date: 20.6.14, Class: 1.7.14)
- QOCA4_2r.pdf(Date: 26.6.14, Class 1.7.14 and 14.7.14)
- The elastically-bound electron
1.1 Underdamped oscillator
1.2 Driven oscillator
1.3 Atomic polarizability
- Light-atom interaction
2.1 Interaction Hamiltonian in the electric-dipole approximation
2.2 The induced dipole moment: Resonant regime
2.3 Resonant excitation of a two-level transition. Rabi oscillations
2.4 An effective two-level system. The Bloch sphere.
- Optical Bloch Equations
3.1 The density matrix
3.2 Density matrix for a two-level system
3.3 Phenomenological description of decay
3.4 Stationary solution in presence of spontaneous emission. Saturation and classical limit.
3.5 Spin Echoes.
- The quantum electromagnetic field
4.1 Classical Maxwell Equations in vacuum. Gauge invariance. Energy.
4.2 Second quantization.
4.4 Fields. Coherent states. Squeezed states. Single Photon wave packet. Photon field.
4.5 A single mode cavity
- Atom-photon interactions in a single-mode cavity
5.1 Jaynes-Cummings model
5.2 From quantum to classical dynamics.
5.3 Master equation for a damped harmonic oscillator: microscopic derivation.
- Dissipative master equations
6.1 Useful concepts.
6.2 Derivation of the Born-Markov master equation.
6.3 Master equation of a dipole undergoing spontaneous emission.
6.4 Unraveling the master equation.
- Mechanical effects of light on atoms
7.2 Conservation laws for the mechanical motion.
7.3 Absorption and emission of laser photons.
7.4 Scattering of laser photons.
7.5 Laser cooling.
- Chapter 1: R. Becker, Electromagnetic Fields and Interactions, vol. 2 (Dover, 1964).
- Chapter 2,3: L. Allen and J. H. Eberly, Optical Resonance and Two-level Atoms (Dover, 1987).
- Chapter 2: C. Cohen-Tannoudji, B. Diu, F. Laloe, Quantum Mechanics, vol. 2 (Wiley, 1977).
- Chapter 2,3,6,7: C. Cohen-Tannoudji,J. Dupont-Roc, G. Grynberg, Atom-photon interactions (Wiley, 1992).
- Chapter 3: A. Kossakowski, “On quantum statistical mechanics of non-Hamiltonian systems”. Rep. Math. Phys. 3 (4), 247 (1972).
- Chapter 3: G. Lindblad, “On the generators of quantum dynamical semigroups”. Commun. Math. Phys. 48 (2), 119 (1976).
- Chapter 4,5,6: C. W. Gardiner and P. Zoller, Quantum Noise (Springer, 2000).
- Chapter 5: B.-G. Englert and G. Morigi, Five lectures on dissipative master equations, in “Coherent Evolution in Noisy Environments”, p. 55-106, Lecture Notes in Physics, ed. by A. Buchleitner and K. Hornberger (Springer Verlag, Berlin-Heidelberg-New York 2002). See also http://arxiv.org/abs/quant-ph/0206116.
- The elastically-bound electron