Conditional Hamiltonian and reset operator in the quantum jump approach

Journal of Optics B: Quantum and Semiclassical Optics

Volumn 8, Issue 1, 1996, Pages 121-132

  Hegerfeldt, Gerhard C ^a   Sondermann, Dirk G ^a  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; ELECTRON ENERGY LEVELS; ELECTRON TRANSITIONS; MATHEMATICAL OPERATORS; MONTE CARLO METHODS; PHOTONS;

BLOCH EQUATIONS; QUANTUM JUMP APPROACH;

QUANTUM OPTICS;

EID: 0000928320     PISSN: 14644266     EISSN: None     Source Type: Journal    
DOI: 10.1088/1355-5111/8/1/010     Document Type: Article

References (54)

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7. Dehmelt H G 1975 Bull. Am. Phys. Soc. 20 60 Cook R J and Kimble H J 1985 Phys. Rev. Lett. 54 1023 Cohen-Tannoudji C and Dalibard J 1986 Europhys. Lett. 1 441 Schenzle A, DeVoe R G and Brewer R G 1986 Phys. Rev. A 33 2127 Javanainen J 1986 Phys. Rev. A 33 2121 Pegg D T, Loudon R and Knight P L 1986 Phys. Rev. A 33 4085 Nienhuis G 1987 Phys. Rev. A 35 4639 Zoller P, Marte M and Walls D J 1987 Phys. Rev. A 35 198 Reynaud S, Dalibard J and Cohen-Tannoudji C 1988 IEEE J. Quantum Electron. 24 1395 Porrati M and Putterman S 1987 Phys. Rev. A 36 925 Porrati M and Putterman S 1989 Phys. Rev. A 39 3010 Kim M S and Knight P L 1989 Phys. Rev. A 40 215 Bergquist J C, Hulet R G, Itano W M and Wineland D J 1986 Phys. Rev. Lett. 57 1699 Sauter Th, Blatt R, Neuhauser W and Toschek P E 1986 Opt. Commun. 60 287 Nagoumey W, Sandberg J and Dehmelt H 1986 Phys. Rev. Lett. 56 2797 Bergquist J C, Itano W M, Hulet R G and Wineland D J 1988 Phys. Scr. T 22 79
8. Dehmelt H G 1975 Bull. Am. Phys. Soc. 20 60 Cook R J and Kimble H J 1985 Phys. Rev. Lett. 54 1023 Cohen-Tannoudji C and Dalibard J 1986 Europhys. Lett. 1 441 Schenzle A, DeVoe R G and Brewer R G 1986 Phys. Rev. A 33 2127 Javanainen J 1986 Phys. Rev. A 33 2121 Pegg D T, Loudon R and Knight P L 1986 Phys. Rev. A 33 4085 Nienhuis G 1987 Phys. Rev. A 35 4639 Zoller P, Marte M and Walls D J 1987 Phys. Rev. A 35 198 Reynaud S, Dalibard J and Cohen-Tannoudji C 1988 IEEE J. Quantum Electron. 24 1395 Porrati M and Putterman S 1987 Phys. Rev. A 36 925 Porrati M and Putterman S 1989 Phys. Rev. A 39 3010 Kim M S and Knight P L 1989 Phys. Rev. A 40 215 Bergquist J C, Hulet R G, Itano W M and Wineland D J 1986 Phys. Rev. Lett. 57 1699 Sauter Th, Blatt R, Neuhauser W and Toschek P E 1986 Opt. Commun. 60 287 Nagoumey W, Sandberg J and Dehmelt H 1986 Phys. Rev. Lett. 56 2797 Bergquist J C, Itano W M, Hulet R G and Wineland D J 1988 Phys. Scr. T 22 79
9. Dehmelt H G 1975 Bull. Am. Phys. Soc. 20 60 Cook R J and Kimble H J 1985 Phys. Rev. Lett. 54 1023 Cohen-Tannoudji C and Dalibard J 1986 Europhys. Lett. 1 441 Schenzle A, DeVoe R G and Brewer R G 1986 Phys. Rev. A 33 2127 Javanainen J 1986 Phys. Rev. A 33 2121 Pegg D T, Loudon R and Knight P L 1986 Phys. Rev. A 33 4085 Nienhuis G 1987 Phys. Rev. A 35 4639 Zoller P, Marte M and Walls D J 1987 Phys. Rev. A 35 198 Reynaud S, Dalibard J and Cohen-Tannoudji C 1988 IEEE J. Quantum Electron. 24 1395 Porrati M and Putterman S 1987 Phys. Rev. A 36 925 Porrati M and Putterman S 1989 Phys. Rev. A 39 3010 Kim M S and Knight P L 1989 Phys. Rev. A 40 215 Bergquist J C, Hulet R G, Itano W M and Wineland D J 1986 Phys. Rev. Lett. 57 1699 Sauter Th, Blatt R, Neuhauser W and Toschek P E 1986 Opt. Commun. 60 287 Nagoumey W, Sandberg J and Dehmelt H 1986 Phys. Rev. Lett. 56 2797 Bergquist J C, Itano W M, Hulet R G and Wineland D J 1988 Phys. Scr. T 22 79
10. Dehmelt H G 1975 Bull. Am. Phys. Soc. 20 60 Cook R J and Kimble H J 1985 Phys. Rev. Lett. 54 1023 Cohen-Tannoudji C and Dalibard J 1986 Europhys. Lett. 1 441 Schenzle A, DeVoe R G and Brewer R G 1986 Phys. Rev. A 33 2127 Javanainen J 1986 Phys. Rev. A 33 2121 Pegg D T, Loudon R and Knight P L 1986 Phys. Rev. A 33 4085 Nienhuis G 1987 Phys. Rev. A 35 4639 Zoller P, Marte M and Walls D J 1987 Phys. Rev. A 35 198 Reynaud S, Dalibard J and Cohen-Tannoudji C 1988 IEEE J. Quantum Electron. 24 1395 Porrati M and Putterman S 1987 Phys. Rev. A 36 925 Porrati M and Putterman S 1989 Phys. Rev. A 39 3010 Kim M S and Knight P L 1989 Phys. Rev. A 40 215 Bergquist J C, Hulet R G, Itano W M and Wineland D J 1986 Phys. Rev. Lett. 57 1699 Sauter Th, Blatt R, Neuhauser W and Toschek P E 1986 Opt. Commun. 60 287 Nagoumey W, Sandberg J and Dehmelt H 1986 Phys. Rev. Lett. 56 2797 Bergquist J C, Itano W M, Hulet R G and Wineland D J 1988 Phys. Scr. T 22 79
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47. The projection postulate as currently used is due to Lüders G 1951 Ann. Phys. 8 323. For observables with degenerate eigenvalues his formulation differs from that of von Neumann J 1932 Mathematische Grundlagen der Quantenmechanik (Berlin: Springer) (English translation: 1955 Mathematical Foundations of Quantum Mechanics (Princeton, NJ: Princeton University Press) ch V.I).
48. The projection postulate as currently used is due to Lüders G 1951 Ann. Phys. 8 323. For observables with degenerate eigenvalues his formulation differs from that of von Neumann J 1932 Mathematische Grundlagen der Quantenmechanik (Berlin: Springer) (English translation: 1955 Mathematical Foundations of Quantum Mechanics (Princeton, NJ: Princeton University Press) ch V.I).
49. ℓm does not hold. However, the radiative coupling of such levels is extremely small and is usually neglected in applications.
50. Cohen-Tannoudji C, Dupont-Roc J and Grynberg G 1992 Atom-Photon Interactions (New York: Wiley)
51. For a cavity, however, where photons can return and revivals can occur, the results are different.
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53. This is discussed in Reibold R 1992 Physica A 190 413 and references therein.
54. For a discussion of the A system cf Agarwal G S and Jha S S Z 1979 Physica B 35 391