Quantum Generators of Optical Radiation 2
Code  Completion  Credits  Range 

12KGOZ2  Z,ZK  4  2P+2C 
 Course guarantor:
 Jan Šulc
 Lecturer:
 Jan Šulc
 Tutor:
 Jan Šulc
 Supervisor:
 Department of Laser Physics and Photonics
 Synopsis:

The course is focused to the description of quantum generator behaviour using the general principles of quantum statistical physics. The aim of the lecture is to introduce the theoretical basis of laser generator function using semiclassical and fully quantum description of interaction between bonded electrons and resonance radiation.
 Requirements:
 Syllabus of lectures:

. Physical model of laser  laser as a closed system, the quantum Liouville equation
2. Quantum theory of damping  the master equation for the evolution of the damped quantum system
3. Semiclassical theory of radiation interaction with matter  response of twolevel resonant matter, equations for semiclassical interaction description
4. Stationary signal propagation  dispersive characteristics resonant matter
4. Semiclassical description optical impulse propagation
5. Lasers dynamics in rateequations approximation
6. Spectral characteristics laser radiation  frequency pulling, homogenously & inhomogeneously broadened gain
7. Short pulse generation  simplified description of laser modelocking, pulse compression, expansion, and shaping 8. Quantum description of common systems  quasidistributive function for description of electromagnetic field states, time development of quasidistributive function
9. Fokker Planck equation for harmonic oscillator and threelevel laser system
10. Quantum theory of laser  quantum model of laser, rotating wave approximation of Van der Pol oscillator
 Syllabus of tutorials:

1. Evolution of statistical operator, perturbative theory
2. Master equations in interaction and Schrödinger's picture
3. Master equation for damped harmonic oscillator
4. Dispersive and nonlinear properties of the resonant matter
5. Laser amplifier, gain saturation, losses, ASE
6. Numerical model of freerunning generation and lase Qswitching, passive Qswitching
7. Quasidistribution functions for selected states of the electromagnetic field
8. Ordering of operators of general quantum systems, operators of independent quantum systems
9. The FokkerPlanck equation for the damped harmonic oscillator
10.The FokkerPlanck equation for the laser in approximation of the Van der Pol oscillator
 Study Objective:
 Study materials:

Key references:
[1] Vrbová, M., Šulc, J.: Interakce rezonančního záření s látkou, Skriptum ČVUT, Praha, 2006.
Recommended references:
[2] Louisell, W. H.: Quantum statistical properties of radiation, John Wiley & Sons, New York, 1973. (available in the library of FJFI ČVUT)
[3] Orszag, M.: Quantum Optics, Springer, 2016.
[4] Saleh, B. E. A., Teich, M. C.: Základy fotoniky  3. díl, Matfyzpress, Praha, 1995.
[5] Drummond, P. D., Hillery, M.: The Quantum Theory of Nonlinear Optics, Cambridge University Press, 2014.
 Note:
 Timetable for winter semester 2024/2025:
 Timetable is not available yet
 Timetable for summer semester 2024/2025:
 Timetable is not available yet
 The course is a part of the following study plans:

 Kvantové technologie (compulsory course in the program)