Quantum Theory of Interaction and Coherence

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Ivan Richter (guarantor)
Department of Physical Electronics

The lecture covers basic and advanced topics of quantum theory of interaction and coherence. The attention is given to time dynamics of quantum systemsand, based on nonstationary perturbation theory, both semiclassical and fully quantum theory of interactionof quantum systems with electromagnetic field, together with the quantum theory of optical scattering. It is further devoted tostatistical properties of radiation, coherent states of quantized electromagnetic field, quantum optical radiationdescription, and specific states of the field. It also introduces quasiprobability densities and quantum characteristic functions, in relation to classical ones. Finally, theattention is given toquantum theory of damping, nonclassical measurement techniques, and selected topics of modern quantum optics.

Syllabus of lectures:

1.Introduction, mixed states, statistical operator, time dynamics of quantum systems2.Time dynamics of quantum systems, evolution operator3.Stationary and nonstationary perturbation theory, semiclassical theory of interaction of quantum system with classical fieldand its application –quantum description of susceptibilities4.Quantization of electromagnetic field, 2ndquantization, classical and nonclassical quantum states, quantum description of optical radiationin phase space, quasiprobability densities5.Overview, classification, properties, and applications of quantum optical states -nonclassical quantum states, quantum phase problem, entangled states, squeezed states.6.Dirac theory of interaction of quantized electromagnetic field with quantum systems7.Quantum theory of nonlinear optical processes, quantum theory of scattering, Kramers –Heisenbergscattering cross section, examples8.Classical and quantum coherencetheory of the 2nd and higher orders, correlation functions, time and frequency domain, Wiener-Khinchin theorem, WolfequationsVan Cittert –Zerniketheorem9.Quantum theory of detection, single and multiatom two-level absorption / emission detector, photodetection equation, coherence properties of special fields10.Basics of quantum damping approaches, quantum damped oscillator, master equation and Heisenberg-Langevin approaches, dissipation –fluctuation theorem11.Review of nonclassical measuring techniques, measuring and applications of quantum states of light, modern quantum optics

Syllabus of tutorials:
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Key references: [1] W. H. Louisell, Quantum statistical properties of radiation, J. Wiley & Sons, London, 1973.[2] P. W. Milonni, An Introduction to Quantum Optics and Quantum Fluctuations, Oxford University Press, 2019.[3] L. Mandel, E. Wolf, Optical coherence and quantum optics, Cambridge University Press, 1995.[4] C. Gerry, P. Knight, Introductory quantum optics, Cambridge University Press, 2004.[5] C. C. Tannoudji, J.D. Roc, G. Grynberg, Photons and atoms –introduction to quantum electrodynamics, Atom-photon interactions –basic processes and applications, J. Wiley & Sons, 2003.[6] M. Fox, Quantum optics: an introduction, Oxford University Press, 2006.

Time-table for winter semester 2020/2021:
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Time-table for summer semester 2020/2021:
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The course is a part of the following study plans:
Data valid to 2021-03-02
For updated information see http://bilakniha.cvut.cz/en/predmet6582006.html