## EECS 395/495 - (Advanced Topics in) Quantum Electronics

**CATALOG 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:**

- P. Meyster and M. Sargent III, Elements of Quantum Optics, Second Edition, Springer Verlag
- M. Scully and S. Zubairy, Quantum Optics, Cambridge University Press
- A. Yariv, Quantum Electronics, Third Edition, John Wiley and Sons
- Claude Cohen-Tannoudji, Jacques Dupont-Roc, Gilbert Grynberg, Atom-Photon Interactions: Basic Processes and Applications, Wiley-Interscience
- Claude Cohen-Tannoudji, Jacques Dupont-Roc, Gilbert Grynberg, Photons and Atoms: Introduction to Quantum Electrodynamics, Wiley-Interscience
- M. Scully, M. Sargent, and W. Lamb, Laser Physics, Addison-Wesley
- P. Meystre, Atom Optics, Springer
- 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 EECS 404 or equivalent.

**PREREQUISITES BY TOPIC:**

- Introductory Electrodynamics
- Introductory Quantum Mechanics
- Differential Equations
- Fourier Transforms

**DETAILED COURSE TOPICS**

- 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
- Field Quantization: Interaction of Atoms with Quantized Field; The Jaynes-Cummings Model of Cavity Quantum Electro Dynamics; Dressed States Dynamics.
- Fundamental Formalisms in Quantum Noise: The Fluctuation-Dissipation Theorem; Langevin Force; The Quantum Regression Theorem;
- Spontaneous Emission: The Wigner-Weisskopf Theory of Spontaneous emission; Quantum Monte-Carlo Model for Spontaneous Emission; Spectrum of Resonance Fluorescence.
- Quantum Theory of Laser Operations

**COMPUTER USAGE:** Matlab would be used for generating plots.

**: None**

LABORATORY PROJECTS

LABORATORY PROJECTS

**GRADES:**

Homework: 80%

Term Paper: 20%

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

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