Geodesic
On stationary solutions for Lindblad-type equations
Trudy Instituta matematiki, Tome 22 (2014) no. 2, pp. 53-62.

Voir la notice de l'article provenant de la source Math-Net.Ru

An explicit solution of the matrix equation defining the stationary solutions of the kinetic Lindblad type equations is obtained. 
@article{TIMB_2014_22_2_a5,
     author = {S. Ya. Kilin and E. K. Makarov},
     title = {On stationary solutions for {Lindblad-type} equations},
     journal = {Trudy Instituta matematiki},
     pages = {53--62},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2014_22_2_a5/}
}
TY  - JOUR
AU  - S. Ya. Kilin
AU  - E. K. Makarov
TI  - On stationary solutions for Lindblad-type equations
JO  - Trudy Instituta matematiki
PY  - 2014
SP  - 53
EP  - 62
VL  - 22
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMB_2014_22_2_a5/
LA  - ru
ID  - TIMB_2014_22_2_a5
ER  - 
%0 Journal Article
%A S. Ya. Kilin
%A E. K. Makarov
%T On stationary solutions for Lindblad-type equations
%J Trudy Instituta matematiki
%D 2014
%P 53-62
%V 22
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMB_2014_22_2_a5/
%G ru
%F TIMB_2014_22_2_a5
S. Ya. Kilin; E. K. Makarov. On stationary solutions for Lindblad-type equations. Trudy Instituta matematiki, Tome 22 (2014) no. 2, pp. 53-62. http://geodesic.mathdoc.fr/item/TIMB_2014_22_2_a5/

[1] Kilin S. Ya., “Kollektivnye effekty v rezonansnoi fluorestsentsii”, ZhETF, 78:6 (1980), 2157–2170

[2] Ficek Z., Tanas R., “Entangled states and collective nonclassical effects in two-atom systems”, Phys. Rep., 372:5 (2002), 369–443 | DOI | MR | Zbl

[3] Baumgartner B., Narnhofer H., Thirring W., “Analysis of quantum semigroups with GKS-Lindblad generators. I: Simple generators”, J. Phys. A: Math. Gen., 41:5 (2008), 06521 | MR

[4] Demenchuk A. K., Makarov E. K., “Polinomialnaya formula dlya samosopryazhennykh reshenii matrichnogo uravneniya $AX-XA=C$ s normalnym koeffitsientom”, Dokl. NAN Belarusi, 52:2 (2008), 5–10

[5] Gantmakher F. R., Teoriya matrits, Nauka, M., 1988

[6] Khorn R., Dzhonson Ch., Matrichnyi analiz, Mir, M., 1989