RSS feeds
РусскийEnglish
Issue 12, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1998

 / 

September

←  →

Reviews of topical problems


Decoherence and the theory of continuous quantum measurements


Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation

The decoherence of a quantum system, i.e., its becoming partly classical, results from its interaction with the environment and is well described in terms of continuous quantum measurement theory. In the present paper, various approaches to CQM theory are reviewed, of which that using effective complex Hamiltonians is discussed in detail. The effective complex Hamiltonian is obtained from the restricted path integral, the latter highlighting the role of information in the dynamics of the measured system, and is applied to the energy measurement of a two-level system. For such a measurement, quantum transition monitoring is shown to be possible and its back-action on the transition probability analyzed. The performance of such a measurement using a long series of soft observations is described.

Fulltext pdf (346 KB)
Fulltext is also available at DOI: 10.1070/PU1998v041n09ABEH000442
PACS: 03.65.Bz
DOI: 10.1070/PU1998v041n09ABEH000442
URL: https://ufn.ru/en/articles/1998/9/f/
000076559800004
Citation: Menskii M B "Decoherence and the theory of continuous quantum measurements" Phys. Usp. 41 923–940 (1998)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Менский М Б «Явление декогеренции и теория непрерывных квантовых измерений» УФН 168 1017–1035 (1998); DOI: 10.3367/UFNr.0168.199809e.1017

References (80) ↓ Cited by (76) Similar articles (20)

  1. Davies E B Quantum Theory Of Open Systems (London, New York: Academic Press, 1976)
  2. Mensky M B Gruppa Puter. Izmereniya, Poly A, Chastitsy (Group Of Paths: Measurements, Fields, Particles) (Moscow: Nauka, 1983)
  3. Peres A ""Continuous monitoring of quantum systems"" Information Complexity And Control In Quantum Physics (Eds A Blaquiere, S Diner, G Lochak) (Wien: Springer-Verlag, 1987) p. 235
  4. Caves C M, Milburn G J Phys. Rev. A 36 5543 (1987)
  5. Milburn G J J. Opt. Soc. Am. B5 13 17 (1988)
  6. Carmichael H An Open Systems Approach To Quantum Optics (Lecture Notes In Physics, New Series M, M1 8) (Berlin, New York: Springer-Verlag, 1993)
  7. Braginsky V B, Khalili F Ya Quantum Measurement (Cambridge, New York: Cambridge University Press, 1992)
  8. Gagen M J, Wiseman H M, Milburn G J Phys. Rev. A 48 132 (1993)
  9. Mensky M B Continuous Quantum Measurements And Path Integrals (Bristol, Philadelphia: IOP Publ., 1993)
  10. Kadomtsev B B Usp. Fiz. Nauk 165 967 (1995); Kadomtsev B B Phys. Usp. 38 923
  11. Kadomtsev B B, Kadomtsev M B Usp. Fiz. Nauk 166 651 (1996); Kadomtsev B B, Kadomtsev M B Phys. Usp. 39 609 (1996)
  12. Giulini D, Joos E, Kiefei C, Kupsch J, Stamatescu I-O, Zeh H D Decoherence And The Appearance Of A Classical World In Quantum Theory (Berlin, New York: Springer, 1996)
  13. Khalfin L A Zh. Eksp. Tear. Fiz. 33 1371 (1957); Khalfin L A Sov. Phys. JETP 6 1053 (1958)
  14. Misra B, Sudarshan E C G J. Math. Phys. 18 756 (1977)
  15. Chiu C B, Sudarshan E C G, Misra B Phys. Rev. D 16 520 (1977)
  16. Peres A Am. J. Phys. 48 931 (1980)
  17. Itano W M et al Phys. Rev. A 41 2295 (1990)
  18. Audretsch J, Mensky M B Phys. Rev. A 56 44 (1997)
  19. Audretsch J, Mensky M, Namiot V Phys. Lett. A 237 1 (1997)
  20. Walls D F, Milburn G J Quantum Optics (Berlin, New York: Springer, 1994)
  21. Knight P Nature (London) 357 438 (1992)
  22. Garraway B M, Knight P L Phys. Rev. A 50 2548 (1994)
  23. Unruh W G Phys. Rev. A 51 992 (1995)
  24. Landauer R Phys. Lett. A 217 188 (1996)
  25. Mandel’shtam LI "Lektsii Po Osnovam Kvantovo&ibreve; Mekhaniki" Polnoe Sobranie Trudov Vol. 5 (Collected Papers) (Moscow.: Izd. Akad. Nauk SSSR, 1950) p. 347
  26. Blokhintsev D I Printsipial’nye Voprosy Kvantovo&ibreve; Mekhaniki ("Quasi-means In Problems Of Statistical Mechanics") (Moscow: Nauka, 1987)
  27. Zurek W H Phys. Rev. D 24 1516 (1981)
  28. Zurek W H Phys. Rev. D 26 1862 (1982)
  29. Neumann J V Mathematische Grundlagen Der Quantenmechanik (Berlin: Verlag von Julius Springer, 1932); Translated into Russian, Neumann J V Mathematische Grundlagen Der Quantenmechanik (Moscow: Nauka, 1964)
  30. Zeh H D Found. Phys. 1 69 (1970)
  31. Zeh H D Found. Phys. 3 109 (1973)
  32. Joos E, Zeh H D Z Phys. B 59 223 (1985); MB Mensky Physics- Uspekhi 41 ((9)) 940
  33. Braginskii V B Sov. Phys. JETP 26 831
  34. Braginski&ibreve; V B Fizicheskie Eksperimenty S Probnymi Telami (Physical Experiments With Test Bodies) (Moscow: Nauka, 1970)
  35. Braginski&ibreve; V B, Vorontsov Yu I Sov. Phys. Usp. 17 644 (1975)
  36. Caldeira A O, Leggett A J Physica A 121 587 (1983)
  37. Walls D F, Milburn G J Phys. Rev. A 31 2403 (1985)
  38. Walls D F, Collet M J, Milburn G J Phys. Rev. D 32 3208 (1985)
  39. Vorontsov Yu I Teoriya I Metody Makroskopicheskikh Izmereni&ibreve; (Theory And Methods Of Macroscopic Measurements) (Moscow: Nauka, 1989)
  40. Mensky M B, Konetchnyi A, Namiot V Phys. Lett. A 17728 3 (1993)
  41. Mensky M B Phys. Lett. A 231 1 (1997)
  42. Barchielli A, Lanz L, Prosperi G M Nuovo Cimento B 72 79 (1982)
  43. Khalili F Ya Vestn. Most. Univ. Fiz. Astron. 29 ((5)) 13 (1988)
  44. Lindblad G Commun. Math. Phys. 48 119 (1976)
  45. Onofrio R, Presilla C, Tambini U Ann. Phys. (N. Y.) 248 95 (1996)
  46. Gisin N Helv. Phys. Ada 62 363 (1989)
  47. Belavkin V P Phys. Lett. A 140 355 (1989)
  48. Diosi L et al Phys. Rev. Lett. 74 203 (1995)
  49. Ghirardi G C, Rimini A, Weber T Phys. Rev. D 34 470 (1986)
  50. Mensky M B Phys. Lett. A 196 159 (1994)
  51. Feynman R P Rev. Mod. Phys. 20 367 (1948)
  52. Mensky M B Phys. Rev. D 20 384 (1979)
  53. Mensky M B Zh. Eksp. Teor. Fiz. 77 1326 (1979); Mensky M B Sov. Phys. JETP 50 667 (1979)
  54. Aharonov Y, Vardi M Phys. Rev. D 21 2235 (1980)
  55. Khalili F Ya Vestn. Most. Univ. Fiz. Astron. 22 ((1)) 37 (1981)
  56. Caves C M Phys. Rev. D 33 1643 (1986)
  57. Mensky M B Phys. Lett. A 169 403 (1992)
  58. Mensky M B Phys. Lett. A 155 229 (1991)
  59. Mensky M B Found. Phys. 22 1173 (1992)
  60. Mensky M B Phys. Lett. A 219 137 (1996)
  61. Landau L D, Lifshitz E M Kvantovaya Mekhanika. Nerelyativistskaya Teoriya (Quantum Mechanics: Non-Relativistic Theory) (Moscow: Fizmatgiz, 1963); Translated into English, Landau L D, Lifshitz E M Kvantovaya Mekhanika. Nerelyativistskaya Teoriya (Quantum Mechanics: Non-Relativistic Theory) (Oxford: Pergamon Press, 1965)
  62. Mensky M B Found. Phys. 27 1637 (1997)
  63. Golubtsova G A, Mensky M B Int. J. Mod. Phys. A 4 2733 (1989)
  64. Mensky M, Audretsch J Appl. Phys. B 64 129 (1997)
  65. von Borzeszkowski H, Mensky M B Phys. Lett. A 188 249 (1994)
  66. Mensky M B Proc. 3d Sent, on Quant. Gravity, Moscow, October 23-25, (1984) (Singapore: World Scientific, 1985) p. 188
  67. Mensky M B General Relativity And Gravitation 23 123 (1991)
  68. Mensky M B, von Borzeszkowski H Phys. Lett. A 208 269 (1995)
  69. Mensky M B Teor. Mat. Fiz. (1998), (in press)
  70. Ito K Nagoya Math. J. 3 55 (1951)
  71. Diosi L Phys. Rev. A 40 1165 (1989)
  72. Griffiths R B J. Stat. Phys. 36 219 (1984)
  73. Omnés R Ann. Phys. (N. Y.) 201 354 (1990)
  74. Gell-Mann M, Hartle J B ""Quantum mechanics in the light of quantum cosmology"" Complexity, Entropy, And The Physics Of Information (Ed. W H Zurek) (Redwood City, Calif.: Addison-Wesley Pub. Co., 1990) p. 425
  75. Gell-Mann M, Hartle J B Phys. Rev. D 47 3345 (1993)
  76. Paz J P, Zurek W H Phys. Rev. D 48 2728 (1993)
  77. Onofrio R, Presilla C, Tambini U Phys. Lett. A 183 135 (1993)
  78. Tambini U, Presilla C, Onofrio R Phys. Rev. A 51 967 (1995)
  79. Audretsch J, Mensky M ""Realization scheme for continuous fuzzy measurement of energy and the monitoring of a quantum transition"" quant-ph/9808062
  80. Everett H ""The theory of the universal wave function"" The Many-Worlds Interpretation Of Quantum Mechanics (Eds B S DeWitt, N Graham) (Princeton, N.J.: Princeton University Press, 1973)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions