Syllabus

Prerequisites

6.011 and 18.06

Subject Organization

There will be no text. Supplementary references for lecture material are provided in the readings section. There will be regular problem sets, and an in-class mid-term quiz, but there will not be a final examination. A term paper will be required. To assist in choosing term paper topics, a list of possibilities (with references) is provided in the projects section.

Subject Outline

I. Quantum Optics

  • Dirac-Notation Quantum Mechanics
  • Harmonic Oscillator Quantization
  • Number States, Coherent States, and Squeezed States
  • P-representation and Classical Fields

II. Single-Mode and Two-Mode Quantum Systems

  • Direct, Homodyne, and Heterodyne Detection
  • Linear Propagation Loss
  • Phase Insensitive and Phase Sensitive Amplifiers
  • Entanglement and Teleportation

III. Multi-Mode Quantum Systems

  • Field Quantization
  • Quantum Photodetection

IV. Nonlinear Optics

  • Phase-matched Interactions
  • Optical Parametric Amplifiers
  • Generation of Squeezed States, Photon-twin Beams, Non-classical Fourth-order Interference, and Polarization Entanglement

V. Quantum Systems Theory

  • Optimum Binary Detection
  • Quantum Precision Measurements
  • Quantum Cryptography