Integrable equations for the~model with $N$ sources and $n-1$ modes
Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 3, pp. 410-418
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We consider simplified models of coupling charged matter to radiation resonance modes generalizing the well-known Jaynes–Cummings and Dicke models. We find that these new models are integrable for arbitrary numbers of dipole sources and resonance modes of the radiation field. We discuss the problem of explicitly diagonalizing the corresponding Hamiltonians.
Keywords:
quantum optics, radiation–matter coupling, integrability.
@article{TMF_2010_164_3_a9,
author = {B. I. Sadovnikov and N. G. Inozemtseva and V. I. Inozemtsev},
title = {Integrable equations for the~model with $N$ sources and $n-1$ modes},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {410--418},
publisher = {mathdoc},
volume = {164},
number = {3},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2010_164_3_a9/}
}
TY - JOUR AU - B. I. Sadovnikov AU - N. G. Inozemtseva AU - V. I. Inozemtsev TI - Integrable equations for the~model with $N$ sources and $n-1$ modes JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2010 SP - 410 EP - 418 VL - 164 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2010_164_3_a9/ LA - ru ID - TMF_2010_164_3_a9 ER -
%0 Journal Article %A B. I. Sadovnikov %A N. G. Inozemtseva %A V. I. Inozemtsev %T Integrable equations for the~model with $N$ sources and $n-1$ modes %J Teoretičeskaâ i matematičeskaâ fizika %D 2010 %P 410-418 %V 164 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2010_164_3_a9/ %G ru %F TMF_2010_164_3_a9
B. I. Sadovnikov; N. G. Inozemtseva; V. I. Inozemtsev. Integrable equations for the~model with $N$ sources and $n-1$ modes. Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 3, pp. 410-418. http://geodesic.mathdoc.fr/item/TMF_2010_164_3_a9/