S. V. Petrushkin, V. V. Samartsev, “Boson Operator Elimination Method in the Laser Cooling of Solids”, TMF, 126:1 (2001), 164–174; Theoret. and Math. Phys., 126:1 (2001), 136

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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 126, Number 1, Pages 164–174
DOI: https://doi.org/10.4213/tmf422 (Mi tmf422)

This article is cited in 16 scientific papers (total in 16 papers)

Boson Operator Elimination Method in the Laser Cooling of Solids

S. V. Petrushkin^a, V. V. Samartsev^b

^a Zavoisky Physical Technical Institute, Kazan Scientific Center of the Russian Academy of Sciences
^b Kazan State University

Full-text PDF (251 kB) Citations (16)

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DOI: https://doi.org/10.4213/tmf422

Abstract: We use Bogoliubov's boson variables elimination method to investigate the laser cooling of solid samples. We derive an exact kinetic equation for the quantum description of the laser cooling of glasses and crystals doped by rare-earth ions and find its stationary solution. We estimate the temperature of a laser-cooled glass doped by three-valence ytterbium.

Received: 05.05.2000
Revised: 27.06.2000

English version:
Theoretical and Mathematical Physics, 2001, Volume 126, Issue 1, Pages 136–145
DOI: https://doi.org/10.1023/A:1005214517506

Bibliographic databases:

Language: Russian

Citation: S. V. Petrushkin, V. V. Samartsev, “Boson Operator Elimination Method in the Laser Cooling of Solids”, TMF, 126:1 (2001), 164–174; Theoret. and Math. Phys., 126:1 (2001), 136–145

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf422

https://doi.org/10.4213/tmf422

https://www.mathnet.ru/eng/tmf/v126/i1/p164

This publication is cited in the following 16 articles:

Pavel A Andreev, K V Antipin, Mariya Iv Trukhanova, “A bosonic bright soliton in a mixture of repulsive Bose–Einstein condensate and polarized ultracold fermions under the influence of pressure evolution”, Laser Phys., 31:1 (2021), 015501
Nabi Gul, Rashid Ahmad, “Modulation instability of ion-acoustic waves and exchange interaction in magnetized quantum plasma with relative density effects of spin-up and spin-down electrons”, Phys. Scr., 96:5 (2021), 055602
Pavel A. Andreev, L.S. Kuz'menkov, “Oblique propagation of longitudinal waves in magnetized spin-1/2 plasmas: Independent evolution of spin-up and spin-down electrons”, Annals of Physics, 361 (2015), 278
Fernandez J., Garcia-Adeva A.J., Balda R., “Anti-Stokes laser-induced cooling in rare-earth doped low phonon materials”, Optical Materials, 34:3 (2012), 579–590
Garcia-Adeva, AJ, “Upconversion cooling of Er-doped low-phonon fluorescent solids”, Physical Review B, 79:3 (2009), 033110
Laser Cooling of Solids, 2009, 208
Joaquin Fernandez, Angel Garcia‐Adeva, Rolindes Balda, Optical Refrigeration, 2009, 97
Laser Cooling of Solids, 2009, 201
Angel J.G.-A., Balda R., Fernandez J., “Anti-Stokes laser cooling in erbium-doped low phonon materials”, Laser Cooling of Solids, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 6461, 2007, 46102–46102
Bashkirov, EK, “On the quantum theory of superradiance in two- and three-level macroscopic systems”, Laser Physics, 16:8 (2006), 1202
Fernandez, J, “Anti-Stokes laser cooling in bulk erbium-doped materials”, Physical Review Letters, 97:3 (2006), 033001
Bashkirov, EK, “Dynamics of phonon mode in superradiance regime of laser cooling of crystals”, Physics Letters A, 341:1–4 (2005), 345
R. F. Tuktarov, R. F. Akhmet'yanov, E. S. Shikhovtseva, Yu. A. Lebedev, V. A. Mazunov, “Plasma oscillations in fullerene molecules during electron capture”, JETP Letters, 81:4 (2005), 171–174
Petrushkin, SV, “Laser cooling of doped crystals in the regime of optical superradiance”, Izvestiya Akademii Nauk Seriya Fizicheskaya, 66:3 (2002), 329
Petrushkin, SV, “Superradiance regime of laser cooling of crystals and glasses doped with rare-earth ions”, Laser Physics, 11:8 (2001), 948
Petrushkin S.V., Samartsev V.V., “On the collective effects application in laser cooling of solids”, Photon Echo and Coherent Spectroscopy, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 4605, 2001, 195–200

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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