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PH 462 **Quantum Technology and Phenomena
in Macroscopic Systems **

Objective of the course:

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.

Syllabus

Review of the
harmonic oscillator and two-level atomic systems, Ladder operators, Coherent
states, Bloch vector, Rabi-oscillations, Basic idea about quantization of
electromagnetic fields, Cooper pair box and its approximation as a two-level
system, Microwave transmission line, Quantization of the transmission line and resonator,
Jaynes-Cummings model in circuit QED, Dissipation in quantum systems, Lindblad
Markoff master equations, Application to relaxation in a two-level system and harmonic
oscillator, Bloch equations for a dissipative two-level system, Multi-qubit
architectures, multi-qubit entanglement, strongly-driven artificial atoms,
Cavity optomechanics, Quantum description of optomechanics, Mechanical cooling
and squeezing.

**Texts and
References***:

1. M. Devoret, B. Huard,R. Schoelkopf and L.
F. Cugliandolo, *Quantum Machines: Measurement and Control of Engineered Quantum Systems*, Oxford
University Press, (2014).

2. G.
S. Agarwal, *Quantum Optics*, Cambridge
University Press, (2013).

3. W. P. Bowen and G.J. Milburn, Quantum Optomechanics,
CRC Press (Taylor and Francis Group), (2016).

4.
N. K. Langford, *Circuit
QED* -Lecture Notes, arXiv:1310.1897v1 7 Oct (2013).

* I suggest that the students should attend the classes regularly and rely on my class notes!

Class-Timings:

Monday: 3 pm-5 pm (Room No. 4003)

Wednesday: 3 pm-4 pm (Room No. 4002)