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ELEC_ENG 414: Advanced Topics in Quantum Electronics


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Description

Study of advanced topics of current interest in the field of quantum electronics, with an emphasis of atom-laser interaction. Selected topics from the following areas will be covered, with an emphasis on practical applications: Semi-Classical Atom-Laser Interaction, Quantized Radiation Field, Cavity Quantum Electrodynamics, Fundamental Formalisms in Quantum Noise, Quantum Theory of Spontaneous Emission, and Quantum Theory of Laser.

REQUIRED TEXTS: None; Written lecture notes will be provided.

REFERENCE TEXTS:

  1. P. Meyster and M. Sargent III, Elements of Quantum Optics, Second Edition, Springer Verlag
  2. M. Scully and S. Zubairy, Quantum Optics, Cambridge University Press
  3. A. Yariv, Quantum Electronics, Third Edition, John Wiley and Sons
  4. Claude Cohen-Tannoudji, Jacques Dupont-Roc, Gilbert Grynberg, Atom-Photon Interactions: Basic Processes and Applications, Wiley-Interscience
  5. Claude Cohen-Tannoudji, Jacques Dupont-Roc, Gilbert Grynberg, Photons and Atoms: Introduction to Quantum Electrodynamics, Wiley-Interscience
  6. M. Scully, M. Sargent, and W. Lamb, Laser Physics, Addison-Wesley
  7. P. Meystre, Atom Optics, Springer
  8. P. Berman, Atom Interferometry, Academic Press

COURSE COORDINATOR: Prof. Selim M. Shahriar

COURSE GOALS: To introduce students to the topics of current interest in the field of quantum electronics, with an emphasis on atom-laser interactions.

PREREQUISITES: Basic familiarity with quantum mechanics, at the level of ELEC_ENG 404 or equivalent.

PREREQUISITES BY TOPIC:

  1. Introductory Electrodynamics
  2. Introductory Quantum Mechanics
  3. Differential Equations
  4. Fourier Transforms

DETAILED COURSE TOPICS

  1. Survey of Semi-Classical Atom-Laser Interaction: Two and Three Level Systems; Electromagnetically Induced Transparency; Slow and Fast Light; Optical Forces on Atoms; Cooling and Trapping of Atoms; Atomic Clock; Atomic Interferometers; Photon Echo; Nuclear Magnetic Resonance; Atomic and Optical Gyroscopes; Atomic Accelerometer; Clebsch-Gordon Coefficients and Selection Rules in Atomic Transitions
  2. Field Quantization: Interaction of Atoms with Quantized Field; The Jaynes-Cummings Model of Cavity Quantum Electro Dynamics; Dressed States Dynamics.
  3. Fundamental Formalisms in Quantum Noise: The Fluctuation-Dissipation Theorem; Langevin Force; The Quantum Regression Theorem;
  4. Spontaneous Emission: The Wigner-Weisskopf Theory of Spontaneous emission; Quantum Monte-Carlo Model for Spontaneous Emission; Spectrum of Resonance Fluorescence.
  5. Quantum Theory of Laser Operations


COMPUTER USAGE: Matlab would be used for generating plots.

LABORATORY PROJECTS: None

GRADES:
Homework: 80%
Term Paper: 20%

COURSE OUTCOMES: When a student completes this course, s/he should be able to:

  1. Understand the fundamentals of atom-laser interaction
  2. Understand quantum theory of radiation and laser
  3. Become familiar with recent advances in the field of quantum electronics