Integrable models of quantum optics
National Research Institute Higher School of Economy, 20 Myasnitskaya Str., Moscow, 101000 Russia
2 Institute of Spectroscopy RAS, 5 Fizicheskaya Str., Troitsk, Moscow 142190 Russia
3 Moscow Institute of Physics and Technology, 9 Institutskiy Pereulok, Dolgoprudny, 141700 Russia
* Corresponding author: firstname.lastname@example.org
Published online: 31 October 2017
We give an overview of exactly solvable many-body models of quantum optics. Among them is a system of two-level atoms which interact with photons propagating in a one-dimensional (1D) chiral waveguide; exact eigenstates of this system can be explicitly constructed. This approach is used also for a system of closely located atoms in the usual (non-chiral) waveguide or in 3D space. Moreover, it is shown that for an arbitrary atomic system with a cascade spontaneous radiative decay, the fluorescence spectrum can be described by an exact analytic expression which accounts for interference of emitted photons. Open questions related with broken integrability are discussed.
© The Authors, published by EDP Sciences, 2017
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