Superradiant phase transitions of Fermi and bose operators with trilinear interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 3, pp. 456-464
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A model of the interaction of a field Bose operator with $2N$ Fermi (or Bose) lattice oscillators is considered. It is shown that in the limit $N\to\infty$ an equilibrium superradiant phase transition of the system can occur in the case of a Bose lattice for arbitrarily small (in contrast to a Fermi lattice) values of the coupling constant and the reciprocal temperature. The thermodynamics of the model is investigated. The results are interpreted and compared with the ordering in a Bose lattice at finite $N$.
@article{TMF_1982_51_3_a16,
author = {V. B. Kir'yanov and V. S. Yarunin},
title = {Superradiant phase transitions of {Fermi} and bose operators with trilinear interaction},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {456--464},
publisher = {mathdoc},
volume = {51},
number = {3},
year = {1982},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a16/}
}
TY - JOUR AU - V. B. Kir'yanov AU - V. S. Yarunin TI - Superradiant phase transitions of Fermi and bose operators with trilinear interaction JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1982 SP - 456 EP - 464 VL - 51 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a16/ LA - ru ID - TMF_1982_51_3_a16 ER -
%0 Journal Article %A V. B. Kir'yanov %A V. S. Yarunin %T Superradiant phase transitions of Fermi and bose operators with trilinear interaction %J Teoretičeskaâ i matematičeskaâ fizika %D 1982 %P 456-464 %V 51 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a16/ %G ru %F TMF_1982_51_3_a16
V. B. Kir'yanov; V. S. Yarunin. Superradiant phase transitions of Fermi and bose operators with trilinear interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 3, pp. 456-464. http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a16/