Objectives of the course
The official course Text book is Quantum optics by Mark Fox. Below is a list of the chapters to be studied in this course and in each chapter, the sub-sections are marked either RED, BLUE or GREEN.
Where RED = Important, BLUE = Interesting. The student should know all the details and derivations for the sections marked "Important". For the sections marked "Interesting" the student should be familiar with the main results and should be able to apply them to problems, but the student is not expected to reproduce any derivations. If part of an important subsection is not important this part is then listed separately. Part I: Introduction and background 1. Introduction 2. Classical optics Maxwell's equations, electromagnetism, polarization,
diffraction, and interference. 2.2 Diffraction and Interference. 2.3 Coherence 2.4 Nonlinear Optics 3. Quantum mechanics Formalism of quantum mechanics, quantization, and
harmonic oscillator. 3.1 Formalism of Quantum Mechanics. 4. Radiative Transitions in atoms Radiative
transition rates, selection rules, the width and shape of spectral lines, and
lasers. 4.1 Einstein coefficients. Part II: Photons 5. Photon statistics Photon counting statistics, poissonian,
super-poissonian, sub-poissonian
photon statistics, theory photon detection, and shot noise in photodiodes. 5.3 Poissonian photon statistics. 5.4 Classification of light 5.5 Super-poissonian light 5.6 Sub-poissonian light 5.7 Degradation of statistics by losses 5.8 Theory of photodetection 5.9 Shot noise in photodiodes 5.10 Observation of sub-Poissonian 6. Photon antibunching Interferometer, Hanbury Brown-twiss experiments, photon bunching and antibunched
light. 6.1 Introduction. 7. Coherent states and squeezed light Light as a quantum harmonic oscillator, coherent light, number-phase
uncertainty and squeezed states. 7.1 Light as classical harmonic oscillator. 8. Photon number states Number state representation, quantum theory of Hanbury
Brown-twiss experiments. 8.1 Operator solution of SHO. Part III: Atom--photon interactions 9. Resonant light--atom interactions Two-level atom approximation, coherent superposition states, and
damping, and Rabi oscillations. 9.2 Preliminary concepts. 10. Atoms in cavities Optical cavities, atom-cavity coupling, and strong coupling. 10.1 Optical cavities. 11. Cold atoms Laser cooling, and Bose-Einstein. 11.1 Introduction. Part IV: Tests of quantum mechanics 12. Single photon operation Photon polarization superposition state, measurement, and quantum state
tomography 13. Entangled states Generation of photon polarization entangled states, entanglement
detection 14 |
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