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.
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).