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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)
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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 (222) Similar articles (20)

  1. Vinogradov A P, Romanenko V E 4th Intern. Conf. on Chiral, Bi-Isotropic, and Bianisotropic Media (Eds A Sihvola et al.) (State College: The Pennsylvania State Univ., 1995) p. 143
  2. Pendry J B et al. IEEE Trans. Microwave Theory Tech. 47 2075 (1999)
  3. Lagarkov A N et al. J. Electromagn. Waves Appl. 6 1159 (1992)
  4. Lagarkov A N, Sarychev A K Phys. Rev. B 53 6318 (1996)
  5. Veselago V G Usp. Fiz. Nauk 92 517 (1967); Veselago V G Sov. Phys. Usp. 10 509 (1968)
  6. Pendry J B Phys. Rev. Lett. 85 3966 (2000)
  7. Vinogradov A P Elektrodinamika Kompozitnykh Materialov (M.: URSS, 2001)
  8. Belov P A et al. Phys. Rev. B 67 113103 (2003)
  9. Klimov V V Nanoplazmonika (M.: Fizmatlit, 2010)
  10. Joannopoulos J D, Villeneuve P R, Fan S Nature 386 143 (1997)
  11. Joannopoulos J D et al. Photonic Crystals: Molding The Flow Of Light (Princeton: Princeton Univ. Press, 2011)
  12. Cao H et al. Phys. Rev. Lett. 82 2278 (1999)
  13. Vinogradov A P, Dorofeenko A V Opt. Commun. 256 333 (2005)
  14. Shatrov A D Radiotekhnika Elektronika 52 909 (2007); Shatrov A D J. Commun. Technol. Electron. 52 842 (2007)
  15. Shatrov A D Radiotekhnika Elektronika 52 1430 (2007); Shatrov A D J. Commun. Technol. Electron. 52 1324 (2007)
  16. Ramakrishna S A et al. J. Mod. Opt. 50 1419 (2003)
  17. Xiao S et al. Nature 466 735 (2010)
  18. Lagar’kov A N i dr. Usp. Fiz. Nauk 179 1018 (2009); Lagarkov A N et al. Phys. Usp. 52 959 (2009)
  19. Noginov M A et al. Opt. Lett. 31 3022 (2006)
  20. Noginov M A et al. Opt. Express 16 1385 (2008)
  21. Popov A K, Shalaev V M Opt. Lett. 31 2169 (2006)
  22. Sarychev A K, Pukhov A A, Tartakovsky G PIERS Online 3 1264 (2007)
  23. Wuestner S et al. Phys. Rev. Lett. 105 127401 (2010)
  24. Yu Z et al. Appl. Phys. Lett. 92 041117 (2008)
  25. El-Ganainy R et al. Opt. Lett. 32 2632 (2007)
  26. Makris K G et al. Phys. Rev. Lett. 100 103904 (2008)
  27. Klaiman S, Günther U, Moiseyev N Phys. Rev. Lett. 101 080402 (2008)
  28. Bender C M, Boettcher S Phys. Rev. Lett. 80 5243 (1998)
  29. Mostafazadeh A J. Math. Phys. 43 205 (2002)
  30. Bender C M, Brody D C, Jones H F Phys. Rev. Lett. 89 270401 (2002)
  31. Bender C M Rep. Prog. Phys. 70 947 (2007)
  32. Weigert S Phys. Rev. A 68 062111 (2003)
  33. Berestetskii V B, Lifshits E M, Pitaevskii L P Kvantovaya Elektrodinamika (M.: Fizmatlit, 2006); Berestetskii V B, Lifshitz E M, Pitaevskii L P Quantum Electrodynamics (Oxford: Pergamon Press, 1982)
  34. Weinberg S The Quantum Theory Of Fields (Cambridge: Cambridge Univ. Press, 2003); Vainberg S Kvantovaya Teoriya Polya (M.: Fizmatlit, 2003)
  35. Wigner E P Seminar on Theoretical Physics, Trieste, July 16 - August 25, 1962 (Vienna: Intern. Atomic Energy Agency, 1963) p. 59
  36. Kaempffer F A Concepts In Quantum Mechanics (New York: Academic Press, 1965); Kempfer F Osnovnye Polozheniya Kvantovoi Mekhaniki (M.: URSS, 2007)
  37. Bogolyubov N N Sobranie Nauchnykh Trudov T. 9 Kvantovaya Teoriya Polya 1949 - 1966 (Red.-sost. A D Sukhanov) (M.: Nauka, 2007)
  38. Landau L D, Lifshits E M Statisticheskaya Fizika Vol. 1 (M.: Fizmatlit, 2005); Landau L D, Lifshitz E M Statistical Physics Vol. 1 (Oxford: Pergamon Press, 1980); Landau L D, Lifshits E M Elektrodinamika Sploshnykh Sred (M.: GIFML, 1959); Landau L D, Lifshitz E M Electrodynamics Of Continuous Media (Oxford: Pergamon Press, 1960)
  39. Landau L D, Lifshits E M Kvantovaya Mekhanika: Nerelyativistskaya Teoriya (M.: Fizmatlit, 2004); Landau L D, Lifshitz E M Quantum Mechanics: Non-Relativistic Theory (Oxford: Pergamon Press, 1977)
  40. Burckhardt C B J. Opt. Soc. Am. 56 1502 (1966)
  41. Vinogradov A P i dr. Usp. Fiz. Nauk 180 249 (2010); Vinogradov A P et al. Phys. Usp. 53 243 (2010)
  42. Landau L D, Lifshits E M Elektrodinamika Sploshnykh Sred (M.: Fizmatlit, 2005); Landau L D, Lifshitz E M Electrodynamics Of Continuous Media (Oxford: Pergamon Press, 1984)
  43. Zyablovsky A A et al. Phys. Rev. A 89 033808 (2014)
  44. Ablowitz M J, Fokas A S Complex Variables: Introduction And Applications (Cambridge, UK: Cambridge Univ. Press, 1997)
  45. Solimeno S, Crosignani B, DiPorto P Guiding, Diffraction, And Confinement Of Optical Radiation (Orlando: Academic Press, 1986); Solimeno S, Krozin’yani B, Di Porto P Difraktsiya i Volnovodnoe Rasprostranenie Opticheskogo Izlucheniya (M.: Mir, 1989)
  46. Dorofeenko A V i dr. Usp. Fiz. Nauk 182 1157 (2012); Dorofeenko A V et al. Phys. Usp. 55 1080 (2012)
  47. Brekhovskikh L M Volny v Sloistykh Sredakh (M.: Nauka, 1973); Brekhovskikh L M Waves In Layered Media (New York: Academic Press, 1980)
  48. Rytov S M Zh. Eksp. Teor. Fiz. 29 605 (1955); Rytov S M Sov. Phys. JETP 2 466 (1956)
  49. Guo A et al. Phys. Rev. Lett. 103 093902 (2009)
  50. Haus H A, Huang W Proc. IEEE 79 1505 (1991)
  51. Yariv A IEEE J. Quantum Electron. 9 919 (1973)
  52. Fan S et al. Science 335 38 (2012)
  53. Chong Y D, Ge L, Stone A D Phys. Rev. Lett. 106 093902 (2011)
  54. Longhi S Phys. Rev. A 82 031801(R) (2010)
  55. Lin Z et al. Phys. Rev. Lett. 106 213901 (2011)
  56. Ge L, Chong Y D, Stone A D Phys. Rev. A 82 063824 (2010)
  57. Zyablovsky A A et al. Photon. Nanostruct. Fundament. Appl. 9 398 (2011)
  58. Chong Y D et al. Phys. Rev. Lett. 105 053901 (2010)
  59. Liertzer M et al. Phys. Rev. Lett. 108 173901 (2012)
  60. Belov P A i dr. Problemy Kogerentnoi i Nelineinoi Optiki (Pod red. I P Gurova, S A Kozlova) (SPb.: SPbGU ITMO, 2006) p. 6
  61. Tucker R S Nature Photon. 4 405 (2010)
  62. Feng L et al. Science 333 729 (2011)
  63. Jalas D et al. Nature Photon. 7 579 (2013)
  64. Katsenelenbaum B Z Teoriya Neregulyarnykh Volnovodov s Medlenno Menyayushchimisya Parametrami (M.: Izd-vo AN SSSR, 1961)
  65. Chtchelkatchev N M et al. Phys. Rev. Lett. 109 150405 (2012)
  66. Sukhorukov A A, Xu Z, Kivshar Y S Phys. Rev. A 82 043818 (2010)
  67. Dmitriev S V et al. Phys. Rev. A 84 013833 (2011)
  68. Suchkov S V et al. Phys. Rev. E 84 046609 (2011)
  69. Sukhorukov A A et al. Opt. Lett. 37 2148 (2012)
  70. Suchkov S V et al. Phys. Rev. A 85 033825 (2012)
  71. Barashenkov I V et al. Phys. Rev. A 86 053809 (2012)

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