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On the Quantum Theory of Direct Detection

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Abstract

By using the theory of measurements continuous in time in quantum mechanics [1][8], a photon detection theory has been formulated [9]– [12]; see Refs. [10]– [12] and [8] for detailed references. A quantum source as an atom, an ion or a more complicated system, eventually placed inside an optical cavity, is stimulated by lasers or by a thermal bath. The emitted light is detected by photon counters (direct detection), possibly after interference with a reference laser beam (heterodyne and homodyne detection). Just to illustrate detection theory, in this paper I shall present only counting processes [1], [3]– [12] (direct detection). Moreover, I shall consider only a Λ concrete example: I shall take as a source a three-level atom in the so called A configuration; although simple, such a system shows, when suitably stimulated by lasers, an interesting behaviour: the so called electron-shelving effect (or quantum jumps) [9,13].

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References

  1. E. B. Davies, Quantum Theory of Open Systems (Academic, London, 1976).

    MATH  Google Scholar 

  2. A. Barchielli, L. Lanz, G. M. Prosperi, Found. Phys. 13 (1983) 779–812.

    Article  MathSciNet  ADS  Google Scholar 

  3. A. Barchielli, G. Lupieri, J. Math. Phys. 26 (1985) 2222–2230.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. A. Barchielli, Phys. Rev. A 34 (1986) 1642–1649.

    Article  MathSciNet  ADS  Google Scholar 

  5. A. S. Holevo, in Advances in Statistical Signal Processing, vol. 1 (JAI Press, 1987) pp. 157–202.

    Google Scholar 

  6. V. P. Belavkin, in Modelling and Control of Systems, edited by A. Blaquière, Lect. Notes Control Inform. Sciences 121 (Springer, Berlin, 1988) pp. 245–265.

    Google Scholar 

  7. A. Barchielli, V. P. Belavkin, J. Phys. A: Math. Gen. 24 (1991) 1495–1514.

    Article  ADS  Google Scholar 

  8. P. Staszewski, Quantum Mechanics of Continuously Observed Systems (Nicholas Copernicus University Press, Toruń, 1993).

    Google Scholar 

  9. A. Barchielli, J. Phys. A: Math. Gen. 20 (1987) 6341–6355.

    Article  MathSciNet  ADS  Google Scholar 

  10. A. Barchielli, Quantum Opt. 2 (1990) 423–441.

    Article  MathSciNet  ADS  Google Scholar 

  11. A. Barchielli, in Stochastic Evolution of Quantum States in Open Systems and in Measurement Processes, edited by L. Diôsi et al. (World Scientific, Singapore, 1994) pp. 1–14.

    Google Scholar 

  12. A. Barchielli, A. M. Paganoni, Quantum Semiclass. Opt. 8 (1996) 133–156.

    Article  MathSciNet  ADS  Google Scholar 

  13. C. Cohen-Tannoudji, J. Dalibard, Europhys. Lett. 1 (1986) 441–448.

    Article  ADS  Google Scholar 

  14. K. R. Parthasarathy, An Introduction to Quantum Stochastic Calculus (Birkhäuser, Basel, 1992).

    Book  MATH  Google Scholar 

  15. C. W. Gardiner, M. J. Collet, Phys. Rev. A 31 (1985) 3761–3774.

    Article  MathSciNet  ADS  Google Scholar 

  16. H. J. Carmichael, An Open System Approach to Quantum Optics, Lect. Notes Phys. m18 (Springer, Berlin, 1993).

    Google Scholar 

  17. H. P. Yuen, J. H. Shapiro, IEEE Trans. Inform. Theory IT-24(1978) 657–668.

    Article  MATH  Google Scholar 

  18. P. Zoller, M. Marte, D. F. Walls, Phys. Rev. A 35 (1987) 198–207.

    Article  ADS  Google Scholar 

  19. K. Mølmer, Y. Castin, J. Dalibard, J. Opt. Soc. Am. B 10 (1993) 524–538.

    Article  ADS  Google Scholar 

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Barchielli, A. (1997). On the Quantum Theory of Direct Detection. In: Hirota, O., Holevo, A.S., Caves, C.M. (eds) Quantum Communication, Computing, and Measurement. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5923-8_26

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  • DOI: https://doi.org/10.1007/978-1-4615-5923-8_26

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7716-0

  • Online ISBN: 978-1-4615-5923-8

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