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Quantum field fluctuations in the vicinity of a classical laser soliton. / Fedorov, S. V.; Rosanov, N. N.; Aleksandrov, I. A.; Popov, R. V.; Tumakov, D. A.; Dadeko, A. V.; Vashukevich, E. A.; Baeva, A. V.
в: Laser Physics Letters, Том 18, № 1, 015204, 01.2021.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Quantum field fluctuations in the vicinity of a classical laser soliton
AU - Fedorov, S. V.
AU - Rosanov, N. N.
AU - Aleksandrov, I. A.
AU - Popov, R. V.
AU - Tumakov, D. A.
AU - Dadeko, A. V.
AU - Vashukevich, E. A.
AU - Baeva, A. V.
N1 - Publisher Copyright: © 2020 Astro Ltd.
PY - 2021/1
Y1 - 2021/1
N2 - An analysis of weak quantum fluctuations of a spatial soliton in a laser with fast saturable absorption in the possible presence of weak holding radiation is carried out. In the c-number representation with adiabatic elimination of atomic variables, the master Heisenberg-Langevin equation is linearized in the vicinity of a stable classical (in the absence of fluctuations) laser soliton. The linearized equation's solution is constructed on the basis of the spectral expansion in eigenfunctions of the evolution operator unperturbed by fluctuations. The discrete spectrum of this operator is found and used to determine the mean values of the squared fluctuations of the coordinates of the soliton center and its momentum. A comparison is made with similar fluctuations in driven interferometers with Kerr non-linearity of the medium.
AB - An analysis of weak quantum fluctuations of a spatial soliton in a laser with fast saturable absorption in the possible presence of weak holding radiation is carried out. In the c-number representation with adiabatic elimination of atomic variables, the master Heisenberg-Langevin equation is linearized in the vicinity of a stable classical (in the absence of fluctuations) laser soliton. The linearized equation's solution is constructed on the basis of the spectral expansion in eigenfunctions of the evolution operator unperturbed by fluctuations. The discrete spectrum of this operator is found and used to determine the mean values of the squared fluctuations of the coordinates of the soliton center and its momentum. A comparison is made with similar fluctuations in driven interferometers with Kerr non-linearity of the medium.
KW - Laser soliton
KW - Linearized Heisenberg-Langevin equation
KW - Quantum fluctuations
KW - Spectral decomposition
KW - laser soliton
KW - quantum fluctuations
KW - spectral decomposition
KW - Langevin equation
KW - linearized Heisenberg–
UR - http://www.scopus.com/inward/record.url?scp=85099187239&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/85ac2587-ac17-3a4b-80d7-97384da5e154/
U2 - 10.1088/1612-202x/abd23f
DO - 10.1088/1612-202x/abd23f
M3 - Article
AN - SCOPUS:85099187239
VL - 18
JO - Laser Physics Letters
JF - Laser Physics Letters
SN - 1612-2011
IS - 1
M1 - 015204
ER -
ID: 85338405