Quantum Optics 1

Garant předmětu:

Igor Jex

Lecturer:

Václav Potoček

Tutor:

Václav Potoček

Supervisor:

Department of Physics

Synopsis:

Building upon classical optics, the course shows the construction of a semiclassical Quantum Optics theory of light and light-matter interaction. The aim of the lecture is to provide a robust theory allowing the qualitative and quantitative description of a broad range of quantum optical phenomena as well as some methods for practical computation.

Requirements:

Syllabus of lectures:

1. Overview of classical optics: plane waves, Gaussian beam, polarization

2. Electromagnetic field quantization, canonical commutation relations, discrete and continuous case

3. Mathematical methods of quantum optics, operator ordering theorems

4. Coherent and squeezed states, classical and non-classical states of light

5. Beam splitters and interferometers: single-photon and coherent state picture, a model of pulse propagation

6. Homodyne and heterodyne optical detection

7. Quantum light correlation: Hanbury Brown–Twiss and Hong–Ou–Mandel effects

8. Cavity quantum electrodynamics, master equation of light attenuation

9. Single atom–light interaction, Jaynes–Cummings model

10. Nonlinear optics and photon–photon interaction in media: parametric down-conversion, Kerr effect

Syllabus of tutorials:

Solving problems to illustrate the theory from the lecture

Study Objective:

Study materials:

Key references:

[1] E. Wolf, L. Mandel, Optical coherence and quantum optics, Cambridge Univ. Press, Cambridge 1995

[2] G. New, Introduction to Nonlinear Optics, Cambridge Univ. Press, Cambridge 2011

Recommended references:

[3] G. S. Agarwal, Quantum Optics, Cambridge Univ. Press, Cambridge 2012

[4] S. M. Barnett, P. M. Radmore, Methods in Theoretical Quantum Optics, Oxford University Press, Oxford 2002

Note:

Time-table for winter semester 2023/2024:

Time-table is not available yet

Time-table for summer semester 2023/2024:

Time-table is not available yet

The course is a part of the following study plans:

• Matematická fyzika (elective course)
• Kvantové technologie (compulsory course in the program)