Quantum Technology and Quantum Phenomena in Macroscopic Systems

In recent times, owing to the rapid advancement in technology a variety of solid-state nano-systems have been realized. One needs quantum optics to describe these systems. It is understood that the next phase of technology revolution needs to use quantum mechanics. This course will enable the students to understand the fundamentals behind these upcoming quantum technologies. The course will prepare and motivate them to take a research carrier in this highly promising modern area of inter-disciplinary research.INTENDED AUDIENCE : Students from B.Tech. Engineering Physics, M.Sc. Physics and B.Tech. Electrical Engineering. Also, Ph.D. students working in the area of Condensed Matter Physics and Quantum Optics.PRE-REQUISITE : An elementary course on Quantum MechanicsINDUSTRY SUPPORT : Nil

Week 1 : Introduction; Review of classical and quantum harmonic oscillator
Week 2 : Basic idea of quantization of electromagnetic fields; Density matrices and other related concepts
Week 3 : Coherent and squeezed states. Wigner density
Week 4 : Two-level atomic systems; Bloch vectors, Rabi oscillations
Week 5 : Cooper pair box and its approximation as a two-level system; Microwave transmission line
Week 6 : Quantization of transmission line and Jaynes-Cummings model
Week 7 : Application of Jaynes-Cummings model in Circuit Quantum Electrodynamics; Linblad mater equation and its applications
Week 8 : Circuit Quantum Electrodynamics (QED) and its technological applications; Discussion of Assignment 1.
Week 9 : Cavity Quantum Optomechanics: Classical perspectives
Week 10 : Linearized Quantum Optomechanics; Discussion of Assignment 2.
Week 11 : Optomechanical cooling, normal-mode splitting. Squeezing
Week 12 : Discussion of Assignment 3; Current research trends in the area of circuit QED and Quantum Optomechanics.