Issues

 / 

2022

 / 

February

  

Reviews of topical problems


Laser solitons: topological and quantum phenomena

,  ,  
Ioffe Institute, ul. Polytekhnicheskaya 26, St. Petersburg, 194021, Russian Federation

A review of the properties of dissipative solitons with different dimensions and various topological characteristics in lasers and laser systems with saturable absorption is presented. Unlike conservative solitons, laser solitons are attractors, the increased stability of which is caused by the balance of energy inflow and outflow. The topology of laser solitons is due to their complex internal structure, which is determined by the field of radiation energy fluxes, and the energy characteristics are an important addition to the topological characteristics. The equation of their dynamics — the generalized Ginzburg—Landau equation — reflects the basic features of open nonlinear systems of various natures. The topological features of solitons expand the range of manifestations of their quantum fluctuations.

Fulltext pdf (2 MB)
Fulltext is also available at DOI: 10.3367/UFNe.2020.11.038869
Keywords: dissipative, laser, topological, multidimensional solitons; quantum fluctuations
PACS: 42.50.Lc, 42.55.−f, 42.65.−k, 42.65.Tg (all)
DOI: 10.3367/UFNe.2020.11.038869
URL: https://ufn.ru/en/articles/2022/2/b/
000805351300003
2-s2.0-85129796764
2022PhyU...65..131V
Citation: Veretenov N A, Rosanov N N, Fedorov S V "Laser solitons: topological and quantum phenomena" Phys. Usp. 65 131–162 (2022)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 18th, August 2020, revised: 14th, November 2020, 18th, November 2020

Оригинал: Веретенов Н А, Розанов Н Н, Федоров С В «Лазерные солитоны: топологические и квантовые эффекты» УФН 192 143–176 (2022); DOI: 10.3367/UFNr.2020.11.038869

References (126) ↓ Cited by (18) Similar articles (20)

  1. Kivshar Yu S, Agrawal G P Optical Solitons: From Fibers To Photonic Crystals (San Diego, CA: Academic Press, 2003); Per. na russk. yaz., Kivshar’ Yu S, Agraval G P Opticheskie Solitony. Ot Svetovodov k Fotonnym Kristallam (M.: Fizmatlit, 2005)
  2. Akhmediev N, Ankiewicz A Solitons: Non-Linear Pulses And Beams (London: Chapman and Hall, 1997); Per. na russk. yaz., Akhmediev N N, Ankevich A Solitony: Nelineinye Impul’sy i Puchki (M.: Fizmatlit, 2003)
  3. Zakharov V E, Manakov S V, Novikov S P, Pitaevskii L P Teoriya Solitonov: Metod Obratnoi Zadachi Rasseyaniya (M.: Fizmatlit, 1980); Per. na angl. yaz., Novikov S, Manakov S V, Pitaevskii L P, Zakharov V E Theory Of Solitons: The Inverse Scattering Method (New York: Springer, 1984)
  4. Rozanov N N Dissipativnye Opticheskie Solitony. Ot Mikro- k Nano- i Atto- (M.: Fizmatlit, 2011)
  5. Rozanov N N Dissipativnye Opticheskie i Rodstvennye Solitony (M.: Fizmatlit, 2021)
  6. Dzhekiv R Usp. Fiz. Nauk 149 139 (1986); Per. c angl. yaz., Jackiw R Comments Nucl. Part. Phys. 13 141 (1984)
  7. Rosanov N N Progress In Optics Vol. 35 (Ed. E Wolf) (Amsterdam: Elsevier, 1996) p. 1
  8. Rozanov N N Opticheskaya Bistabil’nost’ i Gisterezis v Raspredelennykh Nelineinykh Sistemakh (M.: Nauka. Fizmatlit, 1997)
  9. Mandel P Theoretical Problems In Cavity Nonlinear Optics (Cambridge: Cambridge Univ. Press, 1997)
  10. Rozanov N N Usp. Fiz. Nauk 170 462 (2000); Rozanov N N Phys. Usp. 43 421 (2000)
  11. Weiss C O et al Spatial Solitons (Springer Series in Optical Sciences) Vol. 82 (Eds S Trillo, W Torruellas) (Berlin: Springer, 2001) p. 393
  12. Rosanov N N Spatial Hysteresis And Optical Patterns (Berlin: Springer, 2002)
  13. Staliūnas K, Sánchez-Morcillo V J Transverse Patterns In Nonlinear Optical Resonators (Springer Tracts in Modern Physics) Vol. 183 (Berlin: Springer, 2003)
  14. Akhmediev N, Ankiewicz A (Eds) Dissipative Solitons (Lecture Notes in Physics) Vol. 661 (Berlin: Springer, 2005); Per. na russk. yaz., Akhmediev N, Ankevich A (Red.) Dissipativnye Solitony (M.: Fizmatlit, 2008)
  15. Akhmediev N, Ankiewicz A (Eds) Dissipative Solitons: From Optics To Biology And Medicine (Lecture Notes in Physics) Vol. 751 (Berlin: Springer, 2008)
  16. Kuszelewicz R et al (Eds) "Dissipative optical solitons" Eur. Phys. J. D 59 (1) (2010), Topical issue
  17. Tlidi M et al (Eds) "Localized structures in dissipative media: from optics to plant ecology" Philos. Trans. R. Soc. Lond. 372 (2027) (2014), Theme issue
  18. Lugiato L, Prati F, Brambilla M Nonlinear Optical Systems (Cambridge: Cambridge Univ. Press, 2015)
  19. Grelu P (Ed.) Nonlinear Optical Cavity Dynamics: From Microresonators To Fiber Lasers (Weinheim: Wiley-VCH Verlag, 2016)
  20. Tlidi M, Clerc M G, Panajotov K (Eds) "Dissipative structures in matter out of equilibrium: from chemistry, photonics and biology, the legacy of Ilya Prigogine" Philos. Trans. R. Soc. Lond. A 376 (2135) (2018), Theme issue
  21. Rosanov N N, Fedorov S V, Veretenov N A Eur. Phys. J. D 73 141 (2019)
  22. Rozanov N N i dr Optika Spektroskopiya 127 82 (2019); Rosanov N N et al Opt. Spectrosc. 127 77 (2019)
  23. Rozanov N N i dr Kvantovaya Elektronika 51 959 (2021); Rosanov N N et al Quantum Electron. 51 959 (2021)
  24. Mihalache D Rom. Rep. Phys. 73 403 (2021)
  25. Chembo Y K, Nan Y Phys. Rev. A 82 033801 (2010)
  26. Gorodetskii M L Opticheskie Mikrorezonatory s Gigantskoi Dobrotnost’yu (M.: Fizmatlit, 2016)
  27. Turitsyn S K i dr Usp. Fiz. Nauk 186 713 (2016); Turitsyn S K et al Phys. Usp. 59 642 (2016)
  28. Shtyrina O V et al J. Opt. Soc. Am. B 38 2488 (2021)
  29. Rozanov N N, Fedorov S V Optika Spektroskopiya 72 1394 (1992); Rozanov N N, Fedorov S V Opt. Spectrosc. 72 782 (1992)
  30. Fedorov S V, Khodova G V, Rosanov N N Proc. SPIE 1840 208 (1992)
  31. Rosanov N N, Khodova G V J. Opt. Soc. Am. B 7 1057 (1990)
  32. Karpov D V et al Phys. Rev. B 92 075305 (2015)
  33. Lu L, Joannopoulos J D, Soliać M Nat. Photon. 8 821 (2014)
  34. Ozawa T et al Rev. Mod. Phys. 91 015006 (2019)
  35. Aranson I S Usp. Fiz. Nauk 189 955 (2019); Aranson I S Phys. Usp. 62 892 (2019)
  36. Kvon Z D i dr Usp. Fiz. Nauk 190 673 (2020); Kvon Z D et al Phys. Usp. 63 629 (2020)
  37. Smirnova D et al Light Sci. Appl. 9 127 (2020)
  38. Soskin M et al J. Opt. 19 010401 (2017)
  39. Gbur G J Singular Optics (Boca Raton, FL: CRC Press. Taylor and Francis Group, 2017)
  40. Yin X, Peng C Photon. Res. 8 (11) B25 (2020)
  41. Scully M O, Zubairy M S Quantum Optics (Cambridge: Cambridge Univ. Press, 1997); Per. na russk. yaz., Skalli M O, Zubairi M S Kvantovaya Optika (M.: Fizmatlit, 2003)
  42. Grigoryan V S, Maimistov A I, Sklyarov Yu M Zh. Eksp. Teor. Fiz. 94 174 (1988); Grigor’yan V S, Maimistov A I, Sklyarov Yu M Sov. Phys. JETP 67 530 (1988)
  43. Okulov A Yu, Oraevskii A N Trudy FIAN 187 202 (1988)
  44. Vanin E V et al Phys. Rev. A 49 2806 (1994)
  45. Sazonov S V Phys. Rev. A 103 053512 (2021)
  46. Leontovich M A Izv. AN SSSR. Ser. Fiz. (8) 16 (1944)
  47. Leontovich M A, Fok V A Zh. Eksp. Teor. Fiz. 16 557 (1946); Leontovich M A, Fock V A J. Phys. USSR 10 13 (1946)
  48. Rozanov N N Optika Spektroskopiya 127 283 (2019); Rosanov N N Opt. Spectrosc. 127 285 (2019)
  49. Rozanov N N Optika Spektroskopiya 128 1129 (2020); Rosanov N N Opt. Spectrosc. 128 1151 (2020)
  50. Suchkov A F Zh. Eksp. Teor. Fiz. 49 1495 (1965); Suchkov A F Sov. Phys. JETP 22 1026 (1965)
  51. Rozanov N N Pis’ma ZhTF 6 778 (1980); Rozanov N N Sov. Tech. Phys. Lett. 6 335 (1980)
  52. Rozanov N N Zh. Eksp. Teor. Fiz. 80 96 (1981); Rozanov N N Sov. Phys. JETP 53 47 (1981)
  53. Rosanov N N, Khodova G V J. Opt. Soc. Am. B 7 1057 (1990)
  54. Veretenov N A, Fedorov S V, Rosanov N N Phys. Rev. Lett. 125 193901 (2020)
  55. Shafie M M et al Chaos 31 093104 (2021)
  56. Fedorov S V, Veretenov N A, Rosanov N N Phys. Rev. Lett. 122 023903 (2019)
  57. Belousova I M i dr Zh. Eksp. Teor. Fiz. 52 1146 (1967); Belousova I M et al Sov. Phys. JETP 25 761 (1967)
  58. Arnol’d V I Teoriya Katastrof (M.: Nauka, 1990); Per. na angl. yaz., Arnold V I Catastrophe Theory (Berlin: Springer-Verlag, 1992)
  59. Imamoǧlu A et al Phys. Rev. A 53 4250 (1996)
  60. Langer J S, Ambegaokar V Phys. Rev. 164 498 (1967)
  61. Dee G Physica D 15 295 (1985)
  62. Chernych A I, Gabitov I R, Kuznetsov E A Singular Limits Of Dispersive Waves (NATO ASI Series. Ser. B) Vol. 320 (Eds N M Ercolani et al) (New York: Plenum Press, 1994) p. 315
  63. Gor’kov L Charge Density Waves In Solids (Modern Problems in Condensed Matter Sciences) Vol. 25 (Eds L P Gor’kov, G Grüner) (Amsterdam: Elsevier Sci. Publ., 1989)
  64. Andronov A A i dr Teoriya Bifurkatsii Dinamicheskikh Sistem na Ploskosti (M.: Nauka, 1967); Per. na angl. yaz., Andronov A A et al Theory Of Bifurcations Of Dynamical Systems On A Plane (Jerusalem: Israel Program for Scientific Translations, 1971)
  65. Pitaevskii L P Usp. Fiz. Nauk 168 641 (1998); Pitaevskii L P Phys. Usp. 41 569 (1998)
  66. Fedorov S V, Veretenov N A, Rosanov N N Opt. Lett. 45 3284 (2020)
  67. Simon D S Topology In Optics: Tying Light In Knots (Bristol: IOP Publ., 2021)
  68. Berry M V, Dennis M R Proc. R. Soc. Lond. A 457 141 (2001)
  69. Soskin M S, Vasnetsov M V Prog. Opt. 42 219 (2001)
  70. Freund I Opt. Commun. 201 251 (2002)
  71. Ruchi, Senthilkumaran P, Pal S K Int. J. Opt. 2020 2812803 (2020)
  72. Rozanov N N i dr Kvantovaya Elektronika 51 959 (2021); Rosanov N N et al Quantum Electron. 51 959 (2021)
  73. Fedorov S V, Veretenov N A, Rosanov N N, submitted
  74. San Miguel M, Feng Q, Moloney J V Phys. Rev. A 52 1728 (1995)
  75. Panajotov K, Tlidi M Opt. Lett. 43 5663 (2018)
  76. Rozanov N N Kvantovaya Elektronika 30 1005 (2000); Rozanov N N Quantum Electron. 30 1005 (2000)
  77. Veretenov N, Fedorov S, Rosanov N Opt. Lett. 46 4076 (2021)
  78. Barland S et al Nature 419 699 (2002)
  79. Genevet P et al Phys. Rev. Lett. 104 223902 (2010)
  80. Genevet P et al J. Nonlin. Opt. Phys. Mater. 21 1250029 (2012)
  81. Hachair X et al IEEE J. Select. Topics Quantum Electron. 12 339 (2006)
  82. Eslami M, Kheradmand R, Aghdami K M Phys. Scripta 2013 (T157) 014038 (2013)
  83. Prati F et al Eur. Phys. J. D 59 139 (2010)
  84. Anbardan S R et al Phys. Rev. E 97 032208 (2018)
  85. Eslami M, Kheradmand R, Hashemvand H Opt. Quantum Electron. 46 319 (2014)
  86. Anbardan S R et al Phys. Rev. E 101 042210 (2020)
  87. Vysotina N V i dr Izv. Vuzov. Fizika (11) 42 (1985); Vysotina N V et al Sov. Phys. J. 28 887 (1985)
  88. Dennis M R et al Nat. Phys. 6 118 (2010)
  89. Landau L D, Lifshits E M Teoriya Polya (M.: Nauka, 1988); Per. na angl. yaz., Landau L D, Lifshitz E M The Classical Theory Of Fields (Oxford: Pergamon Press, 1971)
  90. Veretenov N A, Rosanov N N, Fedorov S V Phys. Rev. Lett. 117 183901 (2016)
  91. Veretenov N A, Fedorov S V, Rosanov N N Phys. Rev. Lett. 119 263901 (2017)
  92. Veretenov N A, Fedorov S V, Rosanov N N Philos. Trans. R. Soc. A 376 20170367 (2018)
  93. Fedorov S V, Rozanov N N, Veretenov N A Pis’ma ZhETF 107 342 (2018); Fedorov S V, Rosanov N N, Veretenov N A JETP Lett. 107 327 (2018)
  94. Rozanov N N, Fedorov S V, Veretenov N A Teor. Mat. Fiz. 203 134 (2020); Rosanov N N, Fedorov S V, Veretenov N A Theor. Math. Phys. 203 547 (2020)
  95. Adams C C The Knot Book: An Elementary Introduction To The Mathematical Theory Of Knots (New York: W.H. Freeman, 1994)
  96. Vakhitov N G, Kolokolov A A Izv. Vuzov. Radiofizika 16 1020 (1973); Vakhitov N G, Kolokolov A A Radiophys. Quantum Electron. 16 783 (1973)
  97. Veretenov N A, Fedorov S V, Rozanov N N, napravleno v pechat’
  98. Carter S J et al Phys. Rev. Lett. 58 1841 (1987)
  99. Rosenbluh M, Shelby R M Phys. Rev. Lett. 66 153 (1991)
  100. Spälter S et al Opt. Express 2 77 (1998)
  101. Mecozzi A, Kumar P Opt. Lett. 22 1232 (1997)
  102. Nagasako E M, Boyd R W, Agarwal G S Opt. Express 3 171 (1998)
  103. Lantz E et al J. Opt. B 6 S295 (2004)
  104. Oppo G-L, Jeffers J "Quantum fluctuations in cavity solitons" Quantum Imaging (Ed. M I Kolobov) (New York: Springer, 2007); Per. na russk. yaz., Oppo Zh-L, Dzheffers D Kvantovoe Izobrazhenie (Pod red. M I Kolobova) (M.: Fizmatlit, 2009)
  105. Nesterov L A i dr Optika Spektroskopiya 106 639 (2009); Nesterov L A et al Opt. Spectrosc. 106 570 (2009)
  106. Nesterov L A, Veretenov N A, Rozanov N N Optika Spektroskopiya 118 815 (2015); Nesterov L A, Veretenov N A, Rosanov N N Opt. Spectrosc. 118 781 (2015)
  107. Nesterov L A, Veretenov N A, Rozanov N N Optika Spektroskopiya 118 828 (2015); Nesterov L A, Veretenov N A, Rosanov N N Opt. Spectrosc. 118 794 (2015)
  108. Golubeva T Yu i dr Optika Spektroskopiya 128 517 (2020); Golubeva T Yu et al Opt. Spectrosc. 128 505 (2020)
  109. Fedorov S V et al Laser Phys. Lett. 18 015204 (2021)
  110. Fedorov S V, Rosanov N N, Veretenov N A J. Phys. Conf. Ser. 2103 012150 (2021)
  111. Davidovich L Rev. Mod. Phys. 68 127 (1996)
  112. Berestetskii V B, Lifshits E M, Pitaevskii L P Kvantovaya Elektrodinamika (M.: Nauka, 1989); Per. na angl. yaz., Berestetskii V B, Lifshitz E M, Pitaevskii L P Quantum Electrodynamics (Burlington: Butterworth-Heinemann, 1982)
  113. Vysotina N V, Rozanov N N, Semenov V E Optika Spektroskopiya 106 793 (2009); Vysotina N V, Rosanov N N, Semenov V E Opt. Spectrosc. 106 713 (2009)
  114. Kozlov V V, Rosanov N N Phys. Rev. A 87 043836 (2013)
  115. McCall S L, Nahn E L Phys. Rev. 183 457 (1969)
  116. Poluektov I A, Popov Yu M, Roitberg V S Usp. Fiz. Nauk 114 97 (1974); Poluektov I A, Popov Yu M, Roitberg V S Sov. Phys. Usp. 18 673 (1975)
  117. Kozlov V V Phys. Rev. A 56 1607 (1997)
  118. Arkhipov M V i dr Pis’ma ZhETF 109 657 (2019); Arkhipov M V et al JETP Lett. 109 634 (2019)
  119. Arkhipov M V et al Phys. Rev. A 101 013803 (2020)
  120. Vysotina N V, Rozanov N N, Semenov V E Pis’ma ZhETF 83 337 (2006); Vysotina N V, Rozanov N N, Semenov V E JETP Lett. 83 279 (2006)
  121. Rozanov N N, Semenov V E, Vysotina N V Kvantovaya 38 137 (2008); Rosanov N N, Semenov V E, Vysotina N V Quantum Electron. 38 137 (2008)
  122. Rozanov N N, Arkhipov R M, Arkhipov M V Usp. Fiz. Nauk 188 1347 (2018); Rosanov N N, Arkhipov R M, Arkhipov M V Phys. Usp. 61 1227 (2018)
  123. Arkhipov R M, Arkhipov M V, Rozanov N N Kvantovaya Elektronika 50 801 (2020); Arkhipov R M, Arkhipov M V, Rosanov N N Quantum Electron. 50 801 (2020)
  124. Genevet P et al Phys. Rev. Lett. 104 223902 (2010)
  125. Yaparov V V i dr Optika Spektroskopiya 112 655 (2012); Yaparov V V et al Opt. Spectrosc. 112 601 (2012)
  126. Villois A, Proment D, Krstulovic G Phys. Rev. Fluids 2 044701 (2017)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions