Geodesic
Relaxation of nonlinear oscillator
Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 3, pp. 367-374

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A physical system with a finite number of levels that interacts with a thermal reservoir and with an external harmonic force is considered. With allowance for transitions only between neighboring levels and with averaging over the fast oscillations, it is possible to obtain closed equations for the diagonal elements of the density matrix and a solution of them in the stationary case. 
@article{TMF_1991_86_3_a5,
     author = {V. N. Pavlovich},
     title = {Relaxation of nonlinear oscillator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {367--374},
     publisher = {mathdoc},
     volume = {86},
     number = {3},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a5/}
}
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V. N. Pavlovich. Relaxation of nonlinear oscillator. Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 3, pp. 367-374. http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a5/