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  • 12:31 PM, Friday, 29 Mar 2024


Course Dual Degree (B. Tech + Master of Science / Master of Technology)
Semester Electives
Subject Code PH464
Subject Title Introduction to Quantum Optical Technologies

Syllabus

Quantum Mechanics: Fundamentals

Quantum Mechanics basic ideas, Wave particle duality, Davisson-Germer experiment (Other experiments regarding wave particle duality), Stern Gerlach experiment, Kets, Bras and Operators, Projective measurement, Observables, Quantum probabilities and Expectation values, Spin-1/2 systems and qubit.  (9 lecturesWave packets and the uncertainty relations, The schrodinger wave equation, Particle in a box: energy eigenvalues and eigen states, Harmonic oscillator: ladder operators, energy eigenvalues and energy eigen states. (6 lectures)

Quantum Optics: Fundamentals

Quantization of the electromagnetic field, Quantum states of radiation: coherent and squeezed states and properties, χ(2) and χ(3) non-linear interactions, Twin-photon generation with non-linear interactions, Spontaneous parametric down-conversion, Optical parametric amplifiers. (8 lectures)

Linear Optics with Quantized Fields:

Beam splitter transformations, Theory of photodetection, Direct, balanced, and homodyne detection. (4 lectures)

 Photon Statistics, Single Photon Sources and Detectors:

 Introduction to quantum coherence, Hanbury-Brown Twiss experiment, Photon-bunching and anti-bunching, Single-photon sources and single photon detectors. (4 lectures)

Quantum Optical Technologies

Quantum superposition, Photonic qubit and photonic entangled states, Measuring the polarization of a single photon, Photon pairs and joint polarization measurements, Bell’s theorem and Bell’s inequality: CHSH Variant (4 lectures)

 

Introduction to key photonic technologies:

The quantum advantage in interferometry, Quantum imaging, Quantum key distribution, Quantum dense coding and quantum teleportation, Linear optical quantum computing, and Quantum metrology. (10 lectures)

Text Books
 

 

References
  1. Modern Quantum Mechanics, by Sakurai
  2. Introductory Quantum Optics, by Gerry and Knight
  3. A Guide to Experiments in Quantum Optics, by Hans and Bachor
  4. Quantum Computation and Quantum Information, by Nielson and Chuang
  5. Introduction to Quantum Optics: From the Semi-classical Approach to Quantized Light, by Aspect, Fabre, and Grynberg.