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Course: Quantum and Nonlinear Applied Photonics

Department/Abbreviation: SLO/KNAF

Year: 2021

Guarantee: 'prof. RNDr. Ondřej Haderka, Ph.D.', 'prof. RNDr. Jan Peřina, Ph.D.'

Annotation: The aim is to introduce the theory of quantum and nonlinear optical fields in general and to apply it to metrological tasks.

Course review:
- Quantization of electromagnetic field, statistica operator, quantum correlation functions, photocount statistics, homodyne and heterodyne detection as a tool for detection of low optical signals. - Quantum interference, Hanbury Brown-Twiss correlation interferometry, interference. - Coherent states of optical fields and their properties, Glauber-Sudarshan representation of statistical operator, charactertistic functions, generation function and quasi-distributions. - Non-classical fields (squeezed and/or sub-Poissonian). - Phase states of weak fields and their measurement. - Application to light coming from natural sources, lasers and superpostion of signal and noise. - Non-classical light for precise quantum measurement and optical communications. - Quantum nonlinear effects as sources of non-classical light. Second-harmonic and sub-harmonic generation, Raman and Brillouine scattering. - Nonlinear photonic nanonstructures, methods for description of nonlinear effects in these structures with localized optical fields. - Spontaneous parametric down-conversion in nonlinear layered, periodically-poled and waveguiding structures. Generation of photon pairs, entanglement of photon pairs. Applications of photon pairs. - Generation of squeezed light in modern photonic structures. - Interaction of atoms with stationary fields. Coherent transient effects (photon echo, self-induced transparency, super-radiance). Jaynes-Cummings model.