Quantum Optics 1

Course guarantor:

Lecturer:

Tutor:

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 BrownTwiss and HongOuMandel effects

8. Cavity quantum electrodynamics, master equation of light attenuation

9. Single atomlight interaction, JaynesCummings model

10. Nonlinear optics and photonphoton 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:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

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