PH6005: Quantum Optics

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Course Information

L-T-P-C3-0-0-3
Prerequisites PH5007

Syllabus

Module 1: Quantum Theory of Radiation

Lecture hours: 3 · Tutorial hours: 0 · Lab hours: 0

Quantization of the electromagnetic field, Fock states, Lamb shift, Concept of photons (vacuum fluctuations, wave function of photons) .

Module 2: Coherent and Squeezed States of Radiation

Lecture hours: 8 · Tutorial hours: 0 · Lab hours: 0

Coherent states of light as eigenstates of the annihilation operator and as displaced harmonic oscillator states; properties of coherent states of radiation, Squeezed states of radiation; squeezed states and the uncertainty principle, Squeezed coherent states; multi-mode squeezing, Representation of coherent states; quasi-classical distribution; Wigner-Weyl distribution .

Module 3: Semiclassical Theory of Light-Matter Interaction

Lecture hours: 8 · Tutorial hours: 0 · Lab hours: 0

Atom-field interaction Hamiltonian, Interaction of a two-level atom with a single-mode radiation field (probability amplitude, interaction picture, rotating-wave approximation), Density matrix of a two-level atom, Maxwell-Schrödinger equations, Laser; stimulated emission and absorption .

Module 4: Quantum Theory of Light-Matter Interaction

Lecture hours: 9 · Tutorial hours: 0 · Lab hours: 0

Atom-field interaction Hamiltonian, Interaction of a two-level atom with a single-mode radiation field (probability amplitude, Heisenberg operator, unitary time-evolution operator), Wigner theory of spontaneous emission in atomic levels, Spontaneous emission in three-level atoms .

Module 5: Introduction to Damping

Lecture hours: 9 · Tutorial hours: 0 · Lab hours: 0

Damping via oscillator reservoir, Markovian white noise; non-Markovian colored noise, Equation of motion for field-correlation functions, Fluctuation-dissipation theorem; introduction to the Lindblad master equation .

Module 6: Introduction to Application in Quantum Information Processing

Lecture hours: 5 · Tutorial hours: 0 · Lab hours: 0

Parametric down conversion, Bell inequality, Entanglement in two-mode squeezed states .

Study Materials

Textbooks

  1. Quantum Optics, Marlan O. Scully and M. Suhail Zubairy, Cambridge University Press, ISBN: 978-0-521-43595-6
  2. Introductory Quantum Optics, Christopher Gerry and Peter Knight, Cambridge University Press, ISBN: 978-0-511-79123-9

References

  1. Quantum Optics, D. F. Walls and Gerard J. Milburn, Springer, ISBN: 978-3-642-06676-4
  2. Methods in Theoretical Quantum Optics, Stephen M. Barnett and Paul M. Radmore, Clarendon Press, Oxford, UK, ISBN: 978-0-198-56361-7
  3. Quantum Optics: Taming the Quantum, Pierre Meystre, Springer, ISBN: 978-3-030-76182-0