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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.

In: Laser Physics Letters, Vol. 18, No. 1, 015204, 01.2021.

Research output: Contribution to journal › Article › peer-review

Harvard

Fedorov, SV, Rosanov, NN, Aleksandrov, IA, Popov, RV, Tumakov, DA, Dadeko, AV, Vashukevich, EA & Baeva, AV 2021, 'Quantum field fluctuations in the vicinity of a classical laser soliton', Laser Physics Letters, vol. 18, no. 1, 015204. https://doi.org/10.1088/1612-202x/abd23f

APA

Fedorov, S. V., Rosanov, N. N., Aleksandrov, I. A., Popov, R. V., Tumakov, D. A., Dadeko, A. V., Vashukevich, E. A., & Baeva, A. V. (2021). Quantum field fluctuations in the vicinity of a classical laser soliton. Laser Physics Letters, 18(1), [015204]. https://doi.org/10.1088/1612-202x/abd23f

Vancouver

Fedorov SV, Rosanov NN, Aleksandrov IA, Popov RV, Tumakov DA, Dadeko AV et al. Quantum field fluctuations in the vicinity of a classical laser soliton. Laser Physics Letters. 2021 Jan;18(1). 015204. https://doi.org/10.1088/1612-202x/abd23f

Author

Fedorov, S. V. ; Rosanov, N. N. ; Aleksandrov, I. A. ; Popov, R. V. ; Tumakov, D. A. ; Dadeko, A. V. ; Vashukevich, E. A. ; Baeva, A. V. / Quantum field fluctuations in the vicinity of a classical laser soliton. In: Laser Physics Letters. 2021 ; Vol. 18, No. 1.

BibTeX

@article{feba4bc46e924a6aa188d8176545eb02,
title = "Quantum field fluctuations in the vicinity of a classical laser soliton",
abstract = "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.",
keywords = "Laser soliton, Linearized Heisenberg-Langevin equation, Quantum fluctuations, Spectral decomposition, laser soliton, quantum fluctuations, spectral decomposition, Langevin equation, linearized Heisenberg&#8211",
author = "Fedorov, {S. V.} and Rosanov, {N. N.} and Aleksandrov, {I. A.} and Popov, {R. V.} and Tumakov, {D. A.} and Dadeko, {A. V.} and Vashukevich, {E. A.} and Baeva, {A. V.}",
note = "Publisher Copyright: {\textcopyright} 2020 Astro Ltd.",
year = "2021",
month = jan,
doi = "10.1088/1612-202x/abd23f",
language = "English",
volume = "18",
journal = "Laser Physics Letters",
issn = "1612-2011",
publisher = "IOP Publishing Ltd.",
number = "1",

}

RIS

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&#8211

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