Electrical & Computer Engineering

Introduction to non-relativistic quantum mechanics. Summary of classical mechanics, postulates of quantum mechanics and operator formalism, stationary state problems (including quantum wells, harmonic oscillator, angular momentum theory and spin, atoms and molecules, band theory in solids), time evolution approximation methods for time independent and time dependent interactions including electromagnetic interactions, scattering.

Principles and applications of optical fiber communication systems. Covers light propagation, modulation, detection, and system design, with emphasis on fiber-optic technologies.

Continuation of non-relativistic quantum mechanics. Advanced angular momentum theory, second quantization, non-relativistic quantum electrodynamic,s advanced scattering theory, density matrix formalism, reservoir theory.

The course discusses in detail the theory behind important semiconductor based experiments such as Hall effect and Hall mobility measurements; velocity-field measurement; photoluminescence; gain; pump-probe studies; pressure and strain dependent studies. Theory will cover: Bandstructure in quantum wells; effect of strain on bandstructure; transport theory, Monte Carlo methods for high field transport; excitons, optical absorption, … Read more

Formalism of wave propagation in nonlinear media; susceptibility tensor; second harmonic generation and three-wave mixing; phase matching; third order nonlinearities and four-wave mixing processes; stimulated Raman and Brillouin scattering. Special topics: nonlinear optics in fibers, including solitons and self-phase modulation.

The atom-field interaction; density matrix; quantum theory of radiation including spontaneous emission; optical Bioch equations and theory of resonance fluorescence; coherent pulse propagation; dressed atoms and squeezed states; special topics in nonlinear optics.

This course will provide the students with the foundation knowledge to understand the field of quantum information, leading to the discussion of new technologies.

This course introduces students to the emerging new field of quantum based nanotechnology. The course includes a range of topics such as the quantum vibrator, resonant tunneling, quantum circuits, a quantum flip flop, quantum information, quantum vacuum, and the role of quantum behavior in nano-devices and materials.