RSS feeds
РусскийEnglish
Issue 4, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2014

 / 

November

←  →

Reviews of topical problems


PT-symmetry in optics

 a, b,  a, c, b,  a, c, b,  a, c, b,  d
a Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation
b Dukhov Research Institute of Automatics, ul. Sushchevskaya 22, Moscow, 119017, Russian Federation
c Institute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation
d Department of Physics, Queens College of the City University of New York, Flushing, New York, USA

Quantum-mechanical and optical pseudo-Hermitian systems are reviewed with emphasis on PT-symmetric systems important for optics and electrodynamics. One of the most interesting and much discussed consequences of PT-symmetry is a phase transition with the breaking of the symmetry of the system's eigenstates. We show in the review that, although this phase transition is difficult to realize experimentally, a similar transition can be observed in quasi-PT-symmetric systems. Other effects predicted for PT-symmetric systems are not specific for these systems and can be observed in ordinary fully-passive systems.

Fulltext pdf (690 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0184.201411b.1177
PACS: 03.65.Ca, 41.20.Jb, 42.79.−e (all)
DOI: 10.3367/UFNe.0184.201411b.1177
URL: https://ufn.ru/en/articles/2014/11/b/
000349435700002
2-s2.0-84922749419
2014PhyU...57.1063Z
Citation: Zyablovsky A A, Vinogradov A P, Pukhov A A, Dorofeenko A V, Lisyansky A A "PT-symmetry in optics" Phys. Usp. 57 1063–1082 (2014)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 11th, February 2014, revised: 16th, April 2014, 13th, May 2014

Оригинал: Зябловский А А, Виноградов А П, Пухов А А, Дорофеенко А В, Лисянский А А «PT-симметрия в оптике» УФН 184 1177–1198 (2014); DOI: 10.3367/UFNr.0184.201411b.1177

References (71) Cited by (204) ↓ Similar articles (20)

  1. Sablevice E, Millington P Phys. Rev. D 109 (6) (2024)
  2. Zhang Zh, Xin Ch, Liu H Adv Elect Materials 10 (3) (2024)
  3. Zheng L-L, Xiong X-H et al Phys. Rev. A 109 (1) (2024)
  4. YAN WANG, YANG-YANG XI Rom. Rep. Phys. 76 101 (2024)
  5. Yang M, Ye Zh et al PIER B 105 107 (2024)
  6. Zhou H, Huang Y, Yao Yu Nonlinear Dyn 112 3707 (2024)
  7. Novitsky D V, Novitsky A V All-Dielectric Nanophotonics (2024) p. 213
  8. Liu W, Liu Q et al Nat Commun 15 (1) (2024)
  9. Dai G, He Y et al Phys. Rev. A 109 (3) (2024)
  10. Longobucco M, The T L X et al Opt. Express 32 1562 (2024)
  11. Zhang D-W, Zheng L-L et al Phys. Rev. A 109 (2) (2024)
  12. Zhou Z, Chen Y, Yan Zh Nonlinear Dyn 112 6597 (2024)
  13. Rzhanov A G Bull. Russ. Acad. Sci. Phys. 88 26 (2024)
  14. Moccia M, Coppolaro M et al The Advancing World of Applied Electromagnetics Chapter 7 (2024) p. 157
  15. He H, Chen Zh et al Phys. Rev. B 109 (4) (2024)
  16. Temnaya O, Nikitov S Journal Of Magnetism And Magnetic Materials 598 171999 (2024)
  17. Mejía-Cortés C, Molina M I Physics Letters A 501 129388 (2024)
  18. Zan X, Yao G et al Photonics 11 345 (2024)
  19. Kang W, Yong D, Kim Ja U Macromolecules (2024)
  20. Ghosh S, Sengupta K, Paul I Phys. Rev. B 109 (4) (2024)
  21. Wang D, Wang Ya, Li L Phys. Rev. A 109 (2) (2024)
  22. Chen D-Ya, Dong L, Huang Q-A Sensors 23 5191 (2023)
  23. Temnaya O S, Safin A R et al Radiotehnika I èlektronika 68 893 (2023)
  24. Mazzola F, Ghosh B et al Nano Lett. 23 902 (2023)
  25. Sergeev T T, Zyablovsky A A et al Quantum 7 982 (2023)
  26. Xu H S, Jin L Phys. Rev. Research 5 (4) (2023)
  27. Zharov A A, Zharova N A J. Opt. Soc. Am. B 40 2618 (2023)
  28. Li J, Zhang B Circuit Theory & Apps 51 1039 (2023)
  29. Li Zh, Yang W et al Phys. Chem. Chem. Phys. 25 6510 (2023)
  30. Song Y, Shu Y et al J. Phys. D: Appl. Phys. 56 175102 (2023)
  31. Banerjee A, Sarkar R et al J. Phys.: Condens. Matter 35 333001 (2023)
  32. Wang Ch, Fu Zh et al Adv. Opt. Photon. 15 442 (2023)
  33. Krylov I R, Prokhorova U V et al Photonics 10 721 (2023)
  34. Vilkov E A, Byshevski-Konopko O A et al J. Phys.: Condens. Matter 35 435001 (2023)
  35. Praveena S, Senthilnathan K Optik 289 171260 (2023)
  36. Furs A N, Novitsky A V Crystallogr. Rep. 68 73 (2023)
  37. Temnaya O S, Safin A R et al J. Commun. Technol. Electron. 68 979 (2023)
  38. K N I K, Punjal A et al 134 (16) (2023)
  39. Sun J Y, Shen H Z Phys. Rev. A 107 (4) (2023)
  40. Furs A N, Novitsky A V Kristallografiâ 68 62 (2023)
  41. Li Zh, Hu X et al Phys. Rev. A 108 (5) (2023)
  42. Smirnov B M Žurnal èksperimentalʹnoj I Teoretičeskoj Fiziki 163 873 (2023)
  43. Kattel P, Pasnoori P R, Andrei N J. Phys. A: Math. Theor. 56 325001 (2023)
  44. Sadat E M, Bagheri H M J. Phys. B: At. Mol. Opt. Phys. 56 235501 (2023)
  45. Peng M, Zhang H et al Phys. Rev. A 107 (3) (2023)
  46. Peřina Ja, Miranowicz A et al Phys. Rev. A 108 (3) (2023)
  47. Chen Y, Yan Zh, Mihalache D Phys. Rev. E 108 (6) (2023)
  48. Sadovnikov A V, Zyablovsky A A et al Phys. Rev. Applied 18 (2) (2022)
  49. Shuklin F A, Tserkezis C et al Phys. Rev. A 105 (5) (2022)
  50. Inzunza L, Plyushchay M S J. High Energ. Phys. 2022 (8) (2022)
  51. Zhang J-R, Zhang J-Q et al Nonlinear Dyn 109 1005 (2022)
  52. Wu H-Yu, Vollmer F Commun Phys 5 (1) (2022)
  53. Komissarova M V, Lysak T M et al J. Phys.: Conf. Ser. 2249 012008 (2022)
  54. Prachi, Satyanarayana S V M, Sivaprakasam S Physics Letters A 452 128449 (2022)
  55. Ding H, Cen Q et al Photon. Res. 10 1915 (2022)
  56. Sudharsan J B, Chandrasekar V K et al Optik 268 169796 (2022)
  57. Yang Min-ye, Ye Zhi-lu et al J. Cent. South Univ. 29 3203 (2022)
  58. Zhang H, Peng M et al Chinese Phys. B 31 014215 (2022)
  59. Chen Y, Yan Zh, Malomed B A Physica D: Nonlinear Phenomena 430 133099 (2022)
  60. Filatov Yu V, Khorosheva E A et al Emerging Imaging and Sensing Technologies for Security and Defence VII, (2022) p. 41
  61. Zhao D, Zhou G et al Results In Physics 39 105746 (2022)
  62. Ren Ju, Franke S, Hughes S ACS Photonics 9 1315 (2022)
  63. Vakhnenko O O, Verchenko A P Eur. Phys. J. Plus 137 (10) (2022)
  64. Cheng D, Peng B et al Phys. Rev. B 105 (20) (2022)
  65. Shalymov E V, Akhmadiev T M, Davydov V B Quantum Electron. 52 402 (2022)
  66. Novitsky D V, Valero A C et al ACS Photonics 9 3035 (2022)
  67. Chen Y, Song J et al 32 (2) (2022)
  68. Temnaya O S, Safin A R et al Phys. Rev. Applied 18 (1) (2022)
  69. Bushuev V A, Mantsyzov B I J. Exp. Theor. Phys. 135 277 (2022)
  70. Tang Yu-J, Liang Ch, Liu Y-Ch Acta Phys. Sin. 71 171101 (2022)
  71. Lourenço J A S, Higgins G et al Phys. Rev. A 106 (2) (2022)
  72. Li R Opt. Continuum 1 786 (2022)
  73. Fang Zh, Yang X et al IEEE Photonics J. 14 1 (2022)
  74. Doronin I  V, Andrianov E  S, Zyablovsky A  A Phys. Rev. Lett. 129 (13) (2022)
  75. Pires D P, Macrì T Phys. Rev. B 104 (15) (2021)
  76. Lončar J, Vuković J et al Photonics 8 56 (2021)
  77. Komissarova M V, Zakharova I G et al Bull. Russ. Acad. Sci. Phys. 85 1370 (2021)
  78. Vytovtov K A, Barabanova E A, Vishnevsky V M J. Commun. Technol. Electron. 66 1221 (2021)
  79. Sergeev T T, Zyablovsky A A et al Sci Rep 11 (1) (2021)
  80. Vakhnenko O O Physics Letters A 405 127431 (2021)
  81. Naikoo Ja, Kumari S et al J. Phys. A: Math. Theor. 54 275303 (2021)
  82. Pardell J M, Herrero R et al Opt. Express 29 23997 (2021)
  83. Nyushkov B N, Ivanenko A V, Smirnov S V Optoelectron.Instrument.Proc. 57 569 (2021)
  84. Pilehvar E, Amooghorban E, Moravvej-Farshi M K IJOP 15 219 (2021)
  85. Ren Ju, Franke S, Hughes S Phys. Rev. X 11 (4) (2021)
  86. Novitsky D V, Shalin A S et al Phys. Rev. B 104 (8) (2021)
  87. Sarısaman M, Mutlu C M et al Carbon Related Materials Chapter 4 (2021) p. 71
  88. Safaei L, Hatami M, Zarndi M B Opt Quant Electron 53 (8) (2021)
  89. Krasnok A, Nefedkin N, Alu A IEEE Antennas Propag. Mag. 63 110 (2021)
  90. Hlushchenko A V, Novitsky D V et al J. Opt. 23 125002 (2021)
  91. Wang Ch, Fu Zh, Yang L Topics In Applied Physics Vol. Silicon Photonics IVNon-Hermitian Physics and Engineering in Silicon Photonics139 Chapter 7 (2021) p. 323
  92. Bergholtz E J, Budich Ja C, Kunst F K Rev. Mod. Phys. 93 (1) (2021)
  93. Zyablovsky A A, Doronin I V et al Laser & Photonics Reviews 15 (3) (2021)
  94. Jiang Ch, Liu Yu-L, Sillanpää M A Phys. Rev. A 104 (1) (2021)
  95. Hlushchenko A V, Shcherbinin V I et al Phys. Rev. A 104 (1) (2021)
  96. Borisov D I, Zezyulin D A, Znojil M Stud Appl Math 146 834 (2021)
  97. Shramkova O V, Makris K G et al Phys. Rev. E 103 (5) (2021)
  98. Lim Y, Park H et al Advanced Photonics Research 2 (8) (2021)
  99. Novitsky D V, Lyakhov D et al Sci Rep 11 (1) (2021)
  100. Karabchevsky A, Novitsky A, Morozko F Topics In Applied Physics Vol. Chirality, Magnetism and MagnetoelectricityPurcell Effect in PT-Symmetric Waveguides138 Chapter 18 (2021) p. 493
  101. Sundaram S, Burgess C P, O’Dell D H J J. Phys.: Conf. Ser. 2038 012024 (2021)
  102. Khurgin J B, Sebbag Y et al Optica 8 563 (2021)
  103. Novitsky A, Lyakhov D et al Phys. Rev. A 101 (4) (2020)
  104. Karabchevsky A, Katiyi A et al 9 3733 (2020)
  105. Hanif Y, Saleem U Physics Letters A 384 126834 (2020)
  106. Chen Y, Yan Zh, Mihalache D Phys. Rev. E 102 (1) (2020)
  107. Grimaudo R, Messina A et al Entropy 22 1184 (2020)
  108. Krasnok A, Alu A Proc. IEEE 108 628 (2020)
  109. Tripathi V, Vinokur V M Sci Rep 10 (1) (2020)
  110. Hlushchenko A V, Shcherbinin V I et al Laser Phys. Lett. 17 116202 (2020)
  111. Pinto M A, Brandão P A Phys. Rev. A 101 (5) (2020)
  112. Chernodub M N, Cortijo A Symmetry 12 761 (2020)
  113. Li H, Mekawy A et al Phys. Rev. Lett. 124 (19) (2020)
  114. Morozko F, Novitsky A, Karabchevsky A Phys. Rev. B 102 (15) (2020)
  115. Jian A, Liu F et al Optics Communications 475 125815 (2020)
  116. Wang H, Assawaworrarit S, Fan Sh Conference on Lasers and Electro-Optics, (2020) p. FM1A.2
  117. Ge Yu-Q, Chen Ya-T et al Physics Letters A 384 126836 (2020)
  118. Gadzhimuradov T A, Agalarov A M et al Nonlinear Dyn 99 1295 (2020)
  119. Li H, Moussa H et al Phys. Rev. Applied 14 (3) (2020)
  120. Khurgin Ja B Optica 7 1015 (2020)
  121. Katsantonis I, Droulias S et al Phys. Rev. B 101 (21) (2020)
  122. Min S Y, Kim Ju Y et al Phys. Rev. Applied 14 (5) (2020)
  123. Yusupov J, Rakhmanov S et al J. Phys. A: Math. Theor. 52 055303 (2019)
  124. Borisov D I, Zezyulin D A J. Phys. A: Math. Theor. 52 445202 (2019)
  125. Tsvetkov D M, Bushuev V A, Mantsyzov B I Phys. Rev. A 99 (2) (2019)
  126. Boucher Ya G, Feron P IEEE J. Quantum Electron. 55 1 (2019)
  127. Chen Sh, Zhang W et al Sci Rep 9 (1) (2019)
  128. Peřina Ja, Lukš Antonín Symmetry 11 1020 (2019)
  129. Doronin I V, Zyablovsky A A et al Phys. Rev. A 100 (2) (2019)
  130. Pilehvar E, Amooghorban E, Moravvej-Farshi M K IJOP 13 181 (2019)
  131. Droulias S, Katsantonis I et al Phys. Rev. B 100 (20) (2019)
  132. Wang H, Assawaworrarit S, Fan Sh Opt. Lett. 44 638 (2019)
  133. Kim K, Park H et al Advanced Optical Materials 7 (16) (2019)
  134. Peřina Ja, Lukš Antonín et al Phys. Rev. A 100 (5) (2019)
  135. Yuan L, Lin Q et al Conference on Lasers and Electro-Optics, (2019) p. FTu3B.4
  136. Miri M-A, Alù A Science 363 (6422) (2019)
  137. Fang Yu-T, Ye S-F, Li X-X J. Opt. 21 055103 (2019)
  138. Krasnok A, Baranov D et al Adv. Opt. Photon. 11 892 (2019)
  139. Novitsky D V J. Opt. 21 085101 (2019)
  140. Droulias S, Katsantonis I et al Phys. Rev. Lett. 122 (21) (2019)
  141. Matrasulov D U, Sabirov K K, Yusupov J R J. Phys. A: Math. Theor. 52 155302 (2019)
  142. Sarısaman M, Tas M 126 (16) (2019)
  143. Wilkey A, Suelzer J et al Photonics 6 122 (2019)
  144. Chen Y, Yan Zh, Mihalache D 29 (8) (2019)
  145. Hanif Y, Saleem U Nonlinear Dyn 98 233 (2019)
  146. Peřinová V, Lukš A, Křepelka J J. Opt. Soc. Am. B 36 855 (2019)
  147. Novitsky D V, Lavrinenko A V et al 2018 International Conference Laser Optics (ICLO), (2018) p. 606
  148. Li X, Chen Y, Yan Zh Nonlinear Dyn 91 853 (2018)
  149. Zhang H, Saif F et al Opt. Express 26 25199 (2018)
  150. Xu X, Shi L et al Opt. Express 26 10220 (2018)
  151. Yuan L, Lin Q et al 3 (8) (2018)
  152. Lü H, Wang Ch et al Phys. Rev. Applied 10 (1) (2018)
  153. Novitsky D V, Karabchevsky A et al J. Phys.: Conf. Ser. 1092 012100 (2018)
  154. Sarısaman M, Tas M Phys. Rev. B 97 (4) (2018)
  155. Grahovski G G, Mustafa J I, Susanto H Theor Math Phys 197 1430 (2018)
  156. Shramkova O V, Makris K G et al Photon. Res. 6 A1 (2018)
  157. Chen Y, Yan Zh, Li X Communications In Nonlinear Science And Numerical Simulation 55 287 (2018)
  158. Wang J, Dong H Yu et al Phys. Rev. B 97 (1) (2018)
  159. El-Nabulsi R A Eur. Phys. J. Plus 133 (7) (2018)
  160. Boucher Ya G, Feron P IEEE J. Quantum Electron. 54 1 (2018)
  161. Safari M, Albooyeh M et al Phys. Rev. B 97 (8) (2018)
  162. Smirnov S V, Makarenko M O et al Photon. Res. 6 A18 (2018)
  163. Silva E F, Barbosa A L R et al Braz J Phys 48 322 (2018)
  164. Klimov V V, Zabkov I V et al Laser Phys. Lett. 15 035901 (2018)
  165. Chen Y, Yan Zh Communications In Nonlinear Science And Numerical Simulation 57 34 (2018)
  166. Novitsky D V, Karabchevsky A et al Phys. Rev. B 98 (12) (2018)
  167. Wen J, Jiang X et al J. Phys. B: At. Mol. Opt. Phys. 51 222001 (2018)
  168. Savoia S, Castaldi G, Galdi V The World of Applied Electromagnetics Chapter 21 (2018) p. 545
  169. Grahovski G G, Mohammed A J, Susanto H Theor Math Phys 197 1412 (2018)
  170. Chen Y, Yan Zh, Liu W Opt. Express 26 33022 (2018)
  171. Wang Sh, Wang B, Lu P Phys. Rev. A 98 (4) (2018)
  172. Mackay T G, Lakhtakia A J Opt 47 527 (2018)
  173. Longhi S EPL 120 64001 (2017)
  174. Gorbatsevich A A, Shubin N M Annals Of Physics 376 353 (2017)
  175. Zhang W, Wu T, Zhang X Sci Rep 7 (1) (2017)
  176. Baranov D G, Krasnok A et al Nat Rev Mater 2 (12) (2017)
  177. Gerdjikov V S, Grahovski G G, Ivanov R I Wave Motion 71 53 (2017)
  178. Gerdjikov V S Studies In Computational Intelligence Vol. Advanced Computing in Industrial MathematicsOn Nonlocal Models of Kulish-Sklyanin Type and Generalized Fourier Transforms681 Chapter 4 (2017) p. 37
  179. Chen Y, Yan Zh Annals Of Physics 386 44 (2017)
  180. Pilozzi L, Conti C Opt. Lett. 42 5174 (2017)
  181. Bushuev V A, Dergacheva L V, Mantsyzov B I Phys. Rev. A 95 (3) (2017)
  182. Sarısaman M Phys. Rev. A 95 (1) (2017)
  183. Goncharenko A V, Chang Y-Ch et al Opt. Mater. Express 7 3885 (2017)
  184. Limonov M F, Rybin M V et al Nature Photon 11 543 (2017)
  185. Li Y, Argyropoulos Ch 2017 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting, (2017) p. 691
  186. Savoia S, Valagiannopoulos C A et al Phys. Rev. B 95 (11) (2017)
  187. Schulze-Halberg A, Roy P Annals Of Physics 380 78 (2017)
  188. Mattei O, Milton G W New J. Phys. 19 093022 (2017)
  189. Gerdzhikov V S, Gerdjikov V S i dr Teoreticheskaya Matematicheskaya Fizika 188 397 (2016) [Gerdjikov V S, Grahovski G G, Ivanov R I Theor Math Phys 188 1305 (2016)]
  190. Poshakinskiy A  V, Poddubny A  N, Fainstein A Phys. Rev. Lett. 117 (22) (2016)
  191. Loncar J, Hrabar S 2016 10th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS), (2016) p. 130
  192. Shramkova O V, Makris K G et al Frontiers in Optics 2016, (2016) p. FF3H.5
  193. Savoia S, Castaldi G, Galdi V Phys. Rev. A 94 (4) (2016)
  194. Zyablovsky A A, Andrianov E S, Pukhov A A Sci Rep 6 (1) (2016)
  195. Wang H, Christodoulides D N Communications In Nonlinear Science And Numerical Simulation 38 130 (2016)
  196. (Active Photonic Materials VIII) Vol. Active Photonic Materials VIII Parity-time symmetry breaking in optically coupled semiconductor lasers Ganapathi S.SubramaniaStavroulaFoteinopoulouJoseph S.SuelzerYogesh N.JoglekarGautamVemuri9920 (2016) p. 99201M
  197. Toptygin I N, Levina K Uspekhi Fizicheskikh Nauk 186 146 (2016)
  198. Chen X, Yue W et al Phys. Rev. A 94 (5) (2016)
  199. Suchkov S V, Sukhorukov A A et al Laser & Photonics Reviews 10 177 (2016)
  200. Demirchyan S S, Chestnov I Yu et al Jetp Lett. 103 51 (2016)
  201. Zhao H, Fegadolli William S et al Phys. Rev. Lett. 117 (19) (2016)
  202. Zyablovsky A A, Dorofeenko A V et al 2015 9th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS), (2015) p. 340
  203. Saadatmand D, Dmitriev S V et al Jetp Lett. 101 497 (2015)
  204. Klimov V V, Treshin I V et al Phys. Rev. A 92 (6) (2015)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions