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Course: Applied Photonics

Department/Abbreviation: SLO/AFX

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, Hamiltonian of harmonic oscillator and its analysis, commutation relations, Heisenberg uncertainty principle, Glauber-Sudarshan representation of statistical operator of light and definition of non-classicality. Theory of phototetection, photocount statistics. Quantum coherence theory. Different types of nonclassical light and their properties (squeezed light, sub-Poissonian light, anti-bunched light). Their applications in ultra-precise metrology. Description of nonlinear processes at quantum level based on effective nonlinear interaction Hamiltonians. Optical parametric processes, Raman and Brillouine scattering, Kerr effect. Nonlinear photonic structures and their application in nonlinear quantum optics: waveguides, thin layers, photonic crystals, poled nonlinear materials. Spontaneous parametric down-conversion and generation of entangled photon pairs. Applications based on photon pairs. Interaction of atoms with optical fields. Bloch's equations and their solution, Rabi oscillations. Coherent transient effects (photon echo, free polarization decay, self-induced transparency, syperradiation). Jaynes-Cummings model. Spontaneous emission. Interaction of atoms with a reservoir, damping, fluctuating forces.