Essentials of Quantum Optics

ABOUT THE COURSE:Quantum Technology is at the forefront of research today. In recent times, there is huge interest in quantum computers, quantum sensors and quantum information science. Without a solid understanding of the fundamental concepts of quantum optics, it’s not possible to move ahead with research in quantum technology related areas. Unfortunately, quantum optics is not covered anywhere in an accessible way. This course will enable the students to understand the fundamentals of quantum optics easily. Also, they will learn associated mathematical tools. 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.PREREQUISITES: An elementary course on Quantum Mechanics

Syllabus

Week 1:
Lec1:Introduction; Postulates of Quantum Mechanics;
Lec2:Quantum Harmonic Oscillator;
Lec3: Two-level atoms
Week 2:
Lec4: Density matrix formalism
Lec5: Quantisation of single mode field
Lec6: Vacuum fluctuations; multimode fields
Week 3:
Lec7: Coherent states-I
Lec8: Coherent states-II
Lec9: Squeezed states
Week 4:
Lec10: Atom-field interactions; The Rabi model
Lec11: The dressed states; The Jayness Cummings model-I
Lec12: The Jayness Cummings model-II
Week 5:
Lec13: The quantum master equation-I
Lec14: The quantum master equation-II
Week 6:
Lec15: Mechanical effects of light; Concept of Laser Cooling
Lec16: Quantum optics with Superconducting circuits-I
Week 7:
Lec17: Quantum optics with Superconducting circuits-II
Lec18: Quantum optics with Superconducting circuits-III
Week 8:
Lec19: Quantum Optomechanics-I
Lec20: Quantum Optomechanics-II; Optomechanical sensors