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Course: Quantum optics

Department/Abbreviation: SLO/PGS7Q

Year: 2021

Guarantee: 'prof. RNDr. Jan Peřina, Ph.D.', 'prof. RNDr. Jan Peřina, DrSc.'

Annotation: Students are assumed to master the topics described in the content of the subject.

Course review:
Coherent states of optical field and their properties, representation of density matrix, quasidistributions, generating function and photon distribution, ordering of field operators. Squeezed states, phase states, sub-Poissonian states, chaotic light, laser light and superposition of coherent and chaotic fields. Heisenberg-Langevin approach, Schrödinger approach, master equations, generalized Fokker-Planck equation. Interaction of radiation with atoms and reservoirs. Resonance fluorescence. Generalized superposition of coherent fields and quantum noise. Photon statistics in nonlinear optical processes (optical parametric processes, Raman and Brillouin scattering, Kerr effect, four-wave mixing, phase conjugation). Quantum coherence, characterization of entangled states, Bell's inequalitites, entropy of quantum states, Wigner distribution function and its application for the classification of states. Open quantum systems - classical and quantum theory of stochastic processes, master equations, Markoffian and non-Markoffian quantum processes, characterization of non-Markoffian processes, numerical solution of stochastic equations. Quantum random walks - discrete and continuous modifications, modeling of quantum walks in 1D and 2D, topological aspects, influence of decoherence, real implementation and application. Weak quantum measurements - their idea, preselection and postselection of states, tomography of quantum states based on weak measurements, measurement of non-commuting operations.