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Cavity Q.E.D.: Fundamental Theory of the Micromaser and Measurements of its Cavity Field

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Quantum Measurements in Optics

Part of the book series: NATO ASI Series ((NSSB,volume 282))

Abstract

This paper reports a new theoretical investigation, numerically based, of the action of the one-atom one-mode micromaser. In the recent experiments1,2 on the Garching micromaser1–4 there is at most one 85Rb atom in the maser cavity during an atomic transit time tint ~ 35µ sec. But atoms enter with a repetition rate Tp (say) ~ 7000µ sec, so that the cavity is empty of atoms for more than 99%, of the time. The main result of this paper is that if the empty-of-atoms time Tp-tint is reduced towards the values of tint itself, the system acts more like a maser with infinite cavity Q even at the now realised Q and temperature T1,2 Q = 3 × 1010, T = 0.5oK. Thus in distinction to previous discussions, e.g.5, we suggest that it may be possible to create Fock states at this Q and T. However, as Tp is reduced, the theoretical problem becomes complicated by the possibility of more than one atom being in the cavity at the same time.

On leave from Steklov Mathematical Institute, Fontanka 27, 191011 Lenigrad, USSR. We are grateful to the SERC for providing a Visiting Fellowship for him.

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References

  1. G. Rempe, F. Schmidt-Kaler and H. Walther, Phys. Rev. Lett. 44: 2783 (1990).

    Article  Google Scholar 

  2. Gerhard Rempe and Herbert Walther, Phys. Rev. A 42: 1650 (1990).

    Article  Google Scholar 

  3. D. Meschede, H. Walther and G. Müller, Phys. Rev. Lett. 54: 551 (1985).

    Article  Google Scholar 

  4. G. Rempe, H. Walther and N. Klein, Phys. Rev. Lett. 58: 353 (1987).

    Article  Google Scholar 

  5. P. Meystrè, G. Rempe and H. Walther Opt. Lett. 13: 1078 (1988).

    Article  Google Scholar 

  6. M. Chaichian, D. Ellinas and P. Kulish, Phys. Rev. Lett. 65: 980 (1990).

    Article  MathSciNet  MATH  Google Scholar 

  7. L.A. Takhtajan, Adv. Stud. Pure Math. 19: 435 (1989).

    MathSciNet  Google Scholar 

  8. R.K. Bullough, S. Olafsson, Yu-zhong Chen and J. Timonen, in: “Physics and Geometry”, NATO ARW and Proc. XVIIIth Intl. Conf. on Diff. Geom. Methods in Theor. Phys., Ling-Lie Chau and Werner Nahm eds., Plenum, New York (1990) and references.

    Google Scholar 

  9. R.K. Bullough and J. Timonen, “Quantum groups and quantum complete integrability: theory and experiment” in: Proc. 19th Intl. Conf. on Diff. Geom. Methods in Theor. Phys., C. Bartocci, U. Bruzzo and R. Cianci eds., Springer Lecture Notes in Physics and the references in Ref. 6 there. To appear in 1991.

    Google Scholar 

  10. N.M. Bogoluibov and R.K. Bullough. To be published.

    Google Scholar 

  11. E.T. Jaynes and F.W. Cummings, Proc. IEEE 51: 89 (1963).

    Article  Google Scholar 

  12. P. Filipowicz, J. Javainen and P. Meystrè, Phys. Rev. A 34: 3077 (1986).

    Article  Google Scholar 

  13. L.A. Lugiato, M.O. Scully and H. Walther, Phys. Rev. A 36: 740 (1987).

    Article  Google Scholar 

  14. F.W. Cummings and A.K. Rajagopal Phys. Rev. A 39: 3414 (1989).

    Google Scholar 

  15. A.J. Macfarlane, J. Phys. A: Math. Gen. 22: 4581 (1989).

    Article  MathSciNet  MATH  Google Scholar 

  16. L.C. Bidenharn, J. Phys. A: Math. Gen. 22: L873 (1989).

    Article  Google Scholar 

  17. P.P. Kulish and E.V. Damaskinsky, J. Phys. A: Math. Gen. 33: L415 (1990).

    Article  MathSciNet  Google Scholar 

  18. R. Brecha. This meeting.

    Google Scholar 

  19. N. Nayak, R.K. Bullough, B.V. Thompson and G.S. Agarwal, IEEE J. Quant. Electronics QE-24:1331 (1988).

    Article  Google Scholar 

  20. N. Nayak, R.K. Bullough and B.V. Thompson in: “Coherence and Quantum Optics”, J.H. Eberly, L. Mandel and E. Wolf eds., Plenum, New York, (1990), pp.809–813.

    Chapter  Google Scholar 

  21. N. Nayak, B.V. Thompson and R.K. Bullough in: “Proc. ECOOSA ‘80 meeting”, Rome, 7–11 November 1990, M. Bertolotti and E.R. Pike eds. To appear in “Quantum Optics”, June 1991.

    Google Scholar 

  22. R.K. Bullough, M.R.B. Wahiddin, R.R. Puri, S.S. Hassan and G.P. Hildred, in: as in Reference 20.

    Google Scholar 

  23. R.K. Bullough, Hyperfine Interactions 37: 71 (1987) and references.

    Article  Google Scholar 

  24. R.K. Bullough and 10 co-authors in “Squeezed and Nonclassical Light”, P. Tombesi and E.R. Pike eds., Plenum Publ. Corp., New York (1989) and references.

    Google Scholar 

  25. G.S. Agarwal, R.K. Bullough and G.P. Hildred, Optics Commun., 39: 23 (1986).

    Article  Google Scholar 

  26. G.S. Agarwal, R.K. Bullough, G.P. Hildred and N. Nayak, “Cavity quantum electrodynamics at arbitrary Q and temperature T”. To be published.

    Google Scholar 

  27. G.S. Agarwal, R.K. Bullough and N. Nayak, “Probing the dressed states of an atom interacting with a quantized field”. Submitted to Opt. Commun., March 1991.

    Google Scholar 

  28. N. Nayak, B.V. Thompson and R.K. Bullough, “Cavity quantum electrodynamics: finite temperature theory of the 85Rb atom maser”. To be published.

    Google Scholar 

  29. J.M. Raimond, P. Goy, M. Gross, C. Fabre and S. Haroche, Phys. Rev. Lett. 49: 117 (1982).

    Article  Google Scholar 

  30. M.R.B. Wahiddin, S.S. Hassan, J. Timonen and R.K. Bullough in “Coherence and Quantum Optics”, J.H. Eberly, L. Mandel and E. Wolf eds., Plenum, New York (1990), pp.1195–1200.

    Chapter  Google Scholar 

  31. M.R.B. Wahiddin, S.S. Hassan, R.R. Puri, J. Timonen and R.K. Bullough in: as in Reference 21.

    Google Scholar 

  32. S. Haroche. Private Communication at the Davos Meeting, October 1990.

    Google Scholar 

  33. M. Brune. Private Communication. This meeting.

    Google Scholar 

  34. V.I. Arnold, “Mathematical Methods of Classical Mechanics”, Springer-Verlag, Heidelberg (1978).

    Google Scholar 

  35. A. Janussis and 5 co-authors, Hadronic J. 6: 1563 (1983) and references.

    Google Scholar 

  36. A. Jannusis, Quantum Group and the Lie-Admissible Q-Algebra, in “Proc. 5th Intl. Conf. on Hadronic Mechanics and Nonpotential Interactions”, and references. To apear 1991.

    Google Scholar 

  37. A. Jannusis, G. Brodimas, S. Baskontas and D. Vavougios “Quantum Group for Linear Combination of Bose and Fermi Operators”, and references. Preprint 1990. Dept. of Phys., Univ. of Patras, Greece.

    Google Scholar 

  38. R.R. Puri and R.K. Bullough, J. Opt. Soc. Am. B 5: 2021 (1988).

    Article  Google Scholar 

  39. H. Risken “Fokker-Planck Equations”, Springer-Verlag, Berlin (1984).

    Book  Google Scholar 

  40. N. Nayak, B.V. Thompson and R.K. Bullough. To be published.

    Google Scholar 

  41. Taken from the lecture by H. Walther at the Hyderabad meeting, January 5–10, 1991.

    Google Scholar 

  42. Tarik M. Al-Zubaydy “The collapse and revival of Rydberg atoms in a microwave cavity”. M.Sc. Thesis, UMIST, Manchester, April 1989.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, UMIST, P.O. Box 88, Manchester, M60 1QD, UK

    R. K. Bullough, N. M. Bogoliubov, N. Nayak & B. V. Thompson

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  1. R. K. Bullough
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  2. N. M. Bogoliubov
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  3. N. Nayak
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  4. B. V. Thompson
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Editors and Affiliations

  1. University of Camerino, Camerino, Italy

    Paolo Tombesi

  2. University of Auckland, Auckland, New Zealand

    Daniel F. Walls

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© 1992 Springer Science+Business Media New York

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Bullough, R.K., Bogoliubov, N.M., Nayak, N., Thompson, B.V. (1992). Cavity Q.E.D.: Fundamental Theory of the Micromaser and Measurements of its Cavity Field. In: Tombesi, P., Walls, D.F. (eds) Quantum Measurements in Optics. NATO ASI Series, vol 282. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3386-3_11

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  • DOI: https://doi.org/10.1007/978-1-4615-3386-3_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6495-5

  • Online ISBN: 978-1-4615-3386-3

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