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Lecturer(s)
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Peřina Jan, prof. RNDr. Ph.D.
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Haderka Ondřej, prof. RNDr. Ph.D.
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Course content
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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.
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Learning activities and teaching methods
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Lecture, Monologic Lecture(Interpretation, Training), Work with Text (with Book, Textbook)
- Attendace
- 39 hours per semester
- Preparation for the Exam
- 50 hours per semester
- Homework for Teaching
- 31 hours per semester
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Learning outcomes
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The aim is to introduce the theory of quantum and nonlinear optical fields in general and to apply it to metrological tasks.
To understand and describe physical processes in quantum optical fields generated in various nonlinear optical processes. To use them in metrology a applications.
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Prerequisites
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Not specified.
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Assessment methods and criteria
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Mark, Oral exam, Dialog
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Recommended literature
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Mandel, L.; Wolf, E. (1995). Optical Coherence and Quantum Optics. Cambridge University Press.
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Meystre, P.; Sargent, M. (1999). Elements of Quantum Optics. Springer.
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Peřina, J. (1991). Quantum Statistics of Linear and Nonlinear Optical Phenomena. Kluwer, Dordrecht.
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Snyder, A.W., Love, J.D. (1983). Optical Waveguide Theory. Chapman & Hall, London.
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Yeh, P. (1988). Optical Waves in Layered Media. Wiley, New York.
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Zubairy, M.S.; Scully, M.O. (1997). Quantum Optics. Cambridge University Press.
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