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Reviews of topical problems


Berry geometric phase in oscillatory processes


Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation

Useful physical models that reveal the basic physical properties of the Berry phase are presented. They include Foucault's pendulum, rotation of the plane of polarization of light by three mirrors, and so on. Particular attention is devoted to the phase that arises when the polarization of light is transformed by an anisotropic medium. This is used to introduce modern terminology and then to examine more general situations. Several terminological and methodological questions are examined.

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Fulltext is also available at DOI: 10.1070/PU1993v036n11ABEH002178
PACS: 03.65.Ta, 03.65.Vf, 42.50.−p (all)
DOI: 10.1070/PU1993v036n11ABEH002178
URL: https://ufn.ru/en/articles/1993/11/a/
Citation: Klyshko D N "Berry geometric phase in oscillatory processes" Phys. Usp. 36 (11) 1005–1019 (1993)
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Оригинал: Клышко Д Н «Геометрическая фаза Берри в колебательных процессах» УФН 163 (11) 1–18 (1993); DOI: 10.3367/UFNr.0163.199311a.0001

References (65) ↓ Cited by (47) Similar articles (20)

  1. Burke W L Spacetime, Geometry, Cosmology (University Science Books, Mill Valley, CA, 1980); Russ. transl., Burke W L Spacetime, Geometry, Cosmology (Mir, M, 1985)
  2. Berry M V Proc. R. Soc. London A 392 45 (1984)
  3. Vinitskl S I&ibreve;, V L Derbov, V M Dubovnik, B L Markovskil, and Yu P Stepanovsktt, Usp. Fiz. Nauk 160 1 (1990), ov. Phys. Usp.
  4. Moore D J Phys. Rev. 210 1 (1991)
  5. Berry M V Sci. Am. 259 26 (1988)
  6. Berry M V Phys. Today (1990), December 26
  7. Phys. Today (1993), March 17
  8. Hannay J H J. Phys. A 18 221 (1985)
  9. Berry M V J. Phys. 18 15 (1985)
  10. Rytov S M Dok. Akad. Nauk SSSR 28 263 (1938)
  11. Vladimirskil V V Dok. Akad. Nauk SSSR 31 222 (1941)
  12. Pancharatnam S Proc. Indian Acad. Sci. A 44 247 (1956); Pancharatnam S Proc. Indian Acad. Sci. A 46 1 (1956)
  13. Tomita A and R Y Chiao Phys. Rev. Lett. 57 937 (1986)
  14. Kwiat P G and R Y Chiao Phys. Rev. Lett. 66 588 (1991)
  15. Bhandary R and J Samuel Phys. Rev. Lett. 60 1211 (1988)
  16. Bhandary R Phys. Lett. A 133 1 (1988)
  17. Simon R, H J Kimble, and E C G Sudarshan Phys. Rev. Lett. 61 19 (1988)
  18. Chyba T H, L J Wang, L Mandel, and R Simon, Opt. Lett. 13 562 (1988)
  19. Kitano M and Y Yabuzaki Phys. Lett. A 142 321 (1989)
  20. Suter D, K T Mueller, and A Pines Phys. Rev. Lett. 60 1218 (1988)
  21. Bitter T and D Dubbers Phys. Rev. Lett. 59 251 (1987)
  22. Richardson D J, A I Kilvington, K Green, and S K Lamoreaux Phys. Rev. Lett. 61 20 (1988)
  23. Simon B Phys. Rev. Lett. 51 2167 (1988)
  24. Eguchi T, P B Gilkey, and A J Hanson Phys. Rep. 66 213 (1980)
  25. Dubrovin B A, S P Novikov, and A T Fomenko Modem Geometry [in Russian] (Nauka, M., 1986)
  26. Wilczek F and A Zee Phys. Rev. Lett. 52 2111 (1984)
  27. Mills R Am. J. Phys. 57 493 (1989)
  28. Aharonov Y and J Anandan Phys. Rev. Lett. 58 1593 (1987)
  29. Moore D J and G E Stedman J. Phys. A 23 2049 (1990)
  30. Jordan T F Phys. Rev. A 38 1590 (1988)
  31. Khein A and D F Nelson Am. J. Phys. 61 170 (1993)
  32. Kitano M, Y Yabuzaki, and T Ogawa Phys. Rev. Lett. 58 523 (1987)
  33. Jordan T F Phys. Rev. Lett. 60 1584 (1988)
  34. Jordan T F J. Math. Phys. 29 2042 (1988)
  35. Bhandary R Phys. Lett. 135 240 (1989)
  36. Chiao R Y, A Antaramian, K M Ganga, H Jiao, S R Wilkinson, and R Nathel Phys. Rev. Lett. 60 1214 (1988)
  37. Chiao R Y and Y S Wu Phys. Rev. Lett. 57 933 (1986)
  38. Klyshko D N Phys. Lett. A 140 19 (1989)
  39. Bhandary R Phys. Lett. A 157 221 (1991)
  40. Urbantke H Am. J. Phys. 59 503 (1991)
  41. Born M and E Wolf Principles Of Optics (Pergamon Press, Oxford, 1956)
  42. Bohm A, L J Boya, and B Kendrick Phys. Rev. A 43 1206 (1991)
  43. Berry M V J. Mod. Opt. 34 1401 (1987)
  44. Liang J Q and X X Ding Phys. Lett. A 153 273 (1991)
  45. Linares J and Q Nistal Phys. Lett. A 162 7 (1992)
  46. Klyshko D N Phys. Lett. A 132 299 (1988)
  47. Chiao R Y and T F Jordan Phys. Lett. A 132 77 (1988)
  48. Agarwal G S and R Simon Phys. Rev. A 42 6924 (1990)
  49. Belinskil A V and D N Klyshko Laz. Fiz. 2 112 (1992)
  50. Belinsky A V and D N Klyshko Phys. Lett. A 166 303 (1992)
  51. Greenburger D M, M Home, A Shimony, and A Zeiliner Am. J. Phys. 58 1131 (1990)
  52. Belinsky A V and D N Klyshko Phys. Lett. A 176 415 (1993)
  53. Belinsktt A V and D N Klyshko Usp. Fiz. Nauk 163 1 (1993); Belinsktt A V and D N Klyshko Sov. Phys. Usp. 36 653 (1993)
  54. Klyshko D N Physical Foundations Of Quantum Electronics [in Russian] (Nauka, M., 1986)
  55. Ellinas D, S M Barnett, and M A Dupertuis Phys. Rev. A 39 3228 (1989)
  56. Datta N and G Ghosh Phys. Rev. A 40 526 (1989)
  57. Wang S J Phys. Rev. A 40 5107 (1990)
  58. Bose S K and B Dutta-Roy Phys. Rev. A 43 3217 (1991)
  59. Barut A O, M Bozic, S Klarsfeld, and Z Marc Phys. Rev. (1993)
  60. Kobe D H J. Phys. A 23 4249 (1990)
  61. Cervero J M and J D Lejareta Quant. Opt. 2 333 (1990)
  62. Bruer H P, K Dietz, and M Holthaus Phys. Rev. A 47 725 (1993)
  63. Haldane F D M Phys. Rev. Lett. 59 1788 (1987)
  64. Klyshko D N Phys. Lett. A 163 349 (1992)
  65. Klyshko D N Phys. Lett. A 137 334 (1989)
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