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assignment Level : Intermediate
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timer 20 hours in total

About the content

Learn how light works at the most fundamental level: photon by photon, interacting with one atom at a time!

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Syllabus

Semiclassical Light-Atom Interaction
  • Introduction, Overview of classical, semiclassical and q.m. models
  • Interaction Hamiltonian of charged particle with e.m. field
  • Time Dependent Perturbation Theory
  • Transition Rates
  • Fermi-Golden Rule
  • Two-level atom
  • Oscillationg dipoles
  • Bloch sphere
  • Density Operator - Density Matrix
  • Optical Bloch Equations
  • Rabi Frequency, Saturation Parameter, Spontaneous Decay
  • Lineshape in Fluorescence - Saturation Broadening
  • Lambert-Beer Law
  • Bloch Vector
  • Ramsey Method
  • Mach Zehnder Interferometer

Quantization of the Electromagnetic Field
  • Quantized Modes
  • Recap: Quantum Mechanics of Harmonic Oscillator
  • Ladder Operators, Number Operator
  • Quadrature Operators
  • Quantization of the EM Field
  • Hamiltonian of Radiation Field
  • Energy of Vacuum State
  • Fock States
  • Coherent States
  • Squeezed States, Thermal States
  • Planck's Black Body Radiation Formula

Beam Splitters and Interferometers
  • Beam Splitter
  • Classical description of beam splitter
  • QM description of beam splitter
  • Quantized Mach Zehnder Interferometer
  • Homodyne / Heterodyne Detection

Quantized Light-Atom Interaction
  • Interaction Hamiltonian
  • Jaynes Cummings Hamiltonian
  • Quantum Rabi Oscillations
  • Vacuum Rabi Oscillations, Collapse & Revivals

Elements of Cavity QED
  • Optical Cavities
  • Microwave Cavities and Rydberg Atoms
  • Seeing a Photon Without Destroying it
  • Rabi Oscillations in Dressed State Picture

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Instructors

  • - Faculty of Physics
  • Immanuel Bloch - Faculty of Physics
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Content Designer

Ludwig-Maximilians-Universität München (LMU)
As one of Europe's leading research universities, LMU Munich is committed to the highest international standards of excellence in research and teaching. Building on its 500-year-tradition of scholarship, LMU covers a broad spectrum of disciplines, ranging from the humanities and cultural studies through law, economics and social studies to medicine and the sciences.
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Platform

Coursera

Coursera is a digital company offering massive open online course founded by computer teachers Andrew Ng and Daphne Koller Stanford University, located in Mountain View, California. 

Coursera works with top universities and organizations to make some of their courses available online, and offers courses in many subjects, including: physics, engineering, humanities, medicine, biology, social sciences, mathematics, business, computer science, digital marketing, data science, and other subjects.

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