Quantum limit of optical magnetometry in the presence of ac Stark shifts

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 62, Issue 1, 2000, Pages 013808-013801

  Fleischhauer, M ^a   Matsko, A B ^b   Scully, M O ^b,c  

^a UNIVERSITY OF MUNICH   (Germany)

^b TEXAS A AND M UNIVERSITY   (United States)

^c MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

MAGNETIC SUSCEPTIBILITY; MATHEMATICAL TRANSFORMATIONS; OPTICAL DEVICES; PHASE MEASUREMENT; QUANTUM THEORY; SENSITIVITY ANALYSIS; SIGNAL TO NOISE RATIO; SPURIOUS SIGNAL NOISE; STATISTICAL METHODS;

ELECTROMAGNETICALLY INDUCED TRANSPARENCY; FARADAY CONFIGURATION; MAGNETIC FIELD DETECTION; OPTICAL MAGNETOMETRY; QUANTUM LIMIT; STARK SHIFTS;

MAGNETOMETERS;

EID: 0034226223     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (36)

1. For a review on optical pumping magnetometers see: E. B. Alexandrov and V. A. Bonch-Bruevich, Opt. Eng. (Bellingham) 31, 711 (1992); E. B. Alexandrov et al., Laser Phys. 6, 244 (1996); For a review on optical pumping, see W. Happer, Rev. Mod. Phys. 44, 169 (1972).
2. For a review on optical pumping magnetometers see: E. B. Alexandrov and V. A. Bonch-Bruevich, Opt. Eng. (Bellingham) 31, 711 (1992); E. B. Alexandrov et al., Laser Phys. 6, 244 (1996); For a review on optical pumping, see W. Happer, Rev. Mod. Phys. 44, 169 (1972).
3. For a review on optical pumping magnetometers see: E. B. Alexandrov and V. A. Bonch-Bruevich, Opt. Eng. (Bellingham) 31, 711 (1992); E. B. Alexandrov et al., Laser Phys. 6, 244 (1996); For a review on optical pumping, see W. Happer, Rev. Mod. Phys. 44, 169 (1972).
4. L. R. Hunter, Science 252, 73 (1991); D. Budker, V. Yashchuk, and M. Zolatorev, Phys. Rev. Lett. 81, 5788 (1998); V. Yashuk et al. Report No. LBNL-42228, 1998 (unpublished).
5. L. R. Hunter, Science 252, 73 (1991); D. Budker, V. Yashchuk, and M. Zolatorev, Phys. Rev. Lett. 81, 5788 (1998); V. Yashuk et al. Report No. LBNL-42228, 1998 (unpublished).
6. L. R. Hunter, Science 252, 73 (1991); D. Budker, V. Yashchuk, and M. Zolatorev, Phys. Rev. Lett. 81, 5788 (1998); V. Yashuk et al. Report No. LBNL-42228, 1998 (unpublished).
7. A. Nagel et al., Europhys. Lett. 44, 31 (1998); 48, 385 (1999).
8. A. Nagel et al., Europhys. Lett. 44, 31 (1998); 48, 385 (1999).
9. M. O. Scully and M. Fleischhauer, Phys. Rev. Lett. 69, 1360 (1992).
10. M. Fleischhauer and M. O. Scully, Phys. Rev. A 49, 1973 (1994).
11. F. Bretenaker, B. Lépine, J. C. Cotteverte, and A. Le Floch, Phys. Rev. Lett. 69, 909 (1992).
12. For a review on EIT see S. E. Harris, Phys. Today 50, 7 (1997); 50, 36 (1997).
13. For a review on EIT see S. E. Harris, Phys. Today 50, 7 (1997); 50, 36 (1997).
14. M. D. Lukin, M. Fleischhauer, A. S. Zibrov, H. G. Robinson, V. L. Velichansky, L. Hollberg, and M. O. Scully, Phys. Rev. Lett. 79, 2959 (1997).
15. M. Fleischhauer and M. O. Scully, Quantum Semiclassic. Opt. 7, 297 (1995).
16. H. P. Robertson, Phys. Rev. 35, 667 (1930); E. Schrödinger, Ber. Kgl. Akad. Wiss. Berlin, 296 (1930).
17. H. P. Robertson, Phys. Rev. 35, 667 (1930); E. Schrödinger, Ber. Kgl. Akad. Wiss. Berlin, 296 (1930).
18. Although there is no rigorous definition of a Hermitian phase operator, we nevertheless use it here noting that we restrict ourselves to states of the radiation field that have no significant overlap with the vacuum. In this case phase and photon number operators nearly coincide with the phase and amplitude quadrature operators.
19. W. Gawlik, J. Kowalski, R. Neumann, and F. Träger, Phys. Lett. A48, 283 (1974); W. Gawlik, in Modern Nonlinear Optics, Part 3, edited by M. Evans and S. Kielich, (Wiley, New York, 1994); K. H. Drake, W. Lange, and J. Mlynek, Opt. Commun. 66, 315 (1988); S. Giraud-Cotton et al., Phys. Rev. A 32, 2211 (1985); 32, 2223 (1985); L. M. Barkov et al., Opt. Commun. 70, 467 (1989); F. Schuller et al., 71, 61 (1989).
20. W. Gawlik, J. Kowalski, R. Neumann, and F. Träger, Phys. Lett. A48, 283 (1974); W. Gawlik, in Modern Nonlinear Optics, Part 3, edited by M. Evans and S. Kielich, (Wiley, New York, 1994); K. H. Drake, W. Lange, and J. Mlynek, Opt. Commun. 66, 315 (1988); S. Giraud-Cotton et al., Phys. Rev. A 32, 2211 (1985); 32, 2223 (1985); L. M. Barkov et al., Opt. Commun. 70, 467 (1989); F. Schuller et al., 71, 61 (1989).
21. W. Gawlik, J. Kowalski, R. Neumann, and F. Träger, Phys. Lett. A48, 283 (1974); W. Gawlik, in Modern Nonlinear Optics, Part 3, edited by M. Evans and S. Kielich, (Wiley, New York, 1994); K. H. Drake, W. Lange, and J. Mlynek, Opt. Commun. 66, 315 (1988); S. Giraud-Cotton et al., Phys. Rev. A 32, 2211 (1985); 32, 2223 (1985); L. M. Barkov et al., Opt. Commun. 70, 467 (1989); F. Schuller et al., 71, 61 (1989).
22. W. Gawlik, J. Kowalski, R. Neumann, and F. Träger, Phys. Lett. A48, 283 (1974); W. Gawlik, in Modern Nonlinear Optics, Part 3, edited by M. Evans and S. Kielich, (Wiley, New York, 1994); K. H. Drake, W. Lange, and J. Mlynek, Opt. Commun. 66, 315 (1988); S. Giraud-Cotton et al., Phys. Rev. A 32, 2211 (1985); 32, 2223 (1985); L. M. Barkov et al., Opt. Commun. 70, 467 (1989); F. Schuller et al., 71, 61 (1989).
23. W. Gawlik, J. Kowalski, R. Neumann, and F. Träger, Phys. Lett. A48, 283 (1974); W. Gawlik, in Modern Nonlinear Optics, Part 3, edited by M. Evans and S. Kielich, (Wiley, New York, 1994); K. H. Drake, W. Lange, and J. Mlynek, Opt. Commun. 66, 315 (1988); S. Giraud-Cotton et al., Phys. Rev. A 32, 2211 (1985); 32, 2223 (1985); L. M. Barkov et al., Opt. Commun. 70, 467 (1989); F. Schuller et al., 71, 61 (1989).
24. W. Gawlik, J. Kowalski, R. Neumann, and F. Träger, Phys. Lett. A48, 283 (1974); W. Gawlik, in Modern Nonlinear Optics, Part 3, edited by M. Evans and S. Kielich, (Wiley, New York, 1994); K. H. Drake, W. Lange, and J. Mlynek, Opt. Commun. 66, 315 (1988); S. Giraud-Cotton et al., Phys. Rev. A 32, 2211 (1985); 32, 2223 (1985); L. M. Barkov et al., Opt. Commun. 70, 467 (1989); F. Schuller et al., 71, 61 (1989).
25. W. Gawlik, J. Kowalski, R. Neumann, and F. Träger, Phys. Lett. A48, 283 (1974); W. Gawlik, in Modern Nonlinear Optics, Part 3, edited by M. Evans and S. Kielich, (Wiley, New York, 1994); K. H. Drake, W. Lange, and J. Mlynek, Opt. Commun. 66, 315 (1988); S. Giraud-Cotton et al., Phys. Rev. A 32, 2211 (1985); 32, 2223 (1985); L. M. Barkov et al., Opt. Commun. 70, 467 (1989); F. Schuller et al., 71, 61 (1989).
26. C. M. Caves, Phys. Rev. D 23, 1693 (1981).
27. W. G. Unruh, in Quantum Optics, Experimental Gravitation, and Measurement Theory, edited by P. Meystre and M. O. Scully (Plenum, New York, 1982), p. 647; M. T. Jaekel and S. Reynaud, Europhys. Lett. 13, 301 (1990); D. V. Kupriyanov and I. M. Sokolov, Quantum Opt. 4, 55 (1992); A. F. Pace, M. J. Collett, and D. F. Walls, Phys. Rev. A 47, 3173 (1993); S. P. Vyatchanin and A. B. Matsko, Zh. Éksp. Teor. Fiz. 104, 2668 (1993) [JETP 77, 218 (1993)]; G. J. Milburn, K. Jacobs, and D. F. Walls, Phys. Rev. A 50, 5256 (1994).
28. W. G. Unruh, in Quantum Optics, Experimental Gravitation, and Measurement Theory, edited by P. Meystre and M. O. Scully (Plenum, New York, 1982), p. 647; M. T. Jaekel and S. Reynaud, Europhys. Lett. 13, 301 (1990); D. V. Kupriyanov and I. M. Sokolov, Quantum Opt. 4, 55 (1992); A. F. Pace, M. J. Collett, and D. F. Walls, Phys. Rev. A 47, 3173 (1993); S. P. Vyatchanin and A. B. Matsko, Zh. Éksp. Teor. Fiz. 104, 2668 (1993) [JETP 77, 218 (1993)]; G. J. Milburn, K. Jacobs, and D. F. Walls, Phys. Rev. A 50, 5256 (1994).
29. W. G. Unruh, in Quantum Optics, Experimental Gravitation, and Measurement Theory, edited by P. Meystre and M. O. Scully (Plenum, New York, 1982), p. 647; M. T. Jaekel and S. Reynaud, Europhys. Lett. 13, 301 (1990); D. V. Kupriyanov and I. M. Sokolov, Quantum Opt. 4, 55 (1992); A. F. Pace, M. J. Collett, and D. F. Walls, Phys. Rev. A 47, 3173 (1993); S. P. Vyatchanin and A. B. Matsko, Zh. Éksp. Teor. Fiz. 104, 2668 (1993) [JETP 77, 218 (1993)]; G. J. Milburn, K. Jacobs, and D. F. Walls, Phys. Rev. A 50, 5256 (1994).
30. W. G. Unruh, in Quantum Optics, Experimental Gravitation, and Measurement Theory, edited by P. Meystre and M. O. Scully (Plenum, New York, 1982), p. 647; M. T. Jaekel and S. Reynaud, Europhys. Lett. 13, 301 (1990); D. V. Kupriyanov and I. M. Sokolov, Quantum Opt. 4, 55 (1992); A. F. Pace, M. J. Collett, and D. F. Walls, Phys. Rev. A 47, 3173 (1993); S. P. Vyatchanin and A. B. Matsko, Zh. Éksp. Teor. Fiz. 104, 2668 (1993) [JETP 77, 218 (1993)]; G. J. Milburn, K. Jacobs, and D. F. Walls, Phys. Rev. A 50, 5256 (1994).
31. W. G. Unruh, in Quantum Optics, Experimental Gravitation, and Measurement Theory, edited by P. Meystre and M. O. Scully (Plenum, New York, 1982), p. 647; M. T. Jaekel and S. Reynaud, Europhys. Lett. 13, 301 (1990); D. V. Kupriyanov and I. M. Sokolov, Quantum Opt. 4, 55 (1992); A. F. Pace, M. J. Collett, and D. F. Walls, Phys. Rev. A 47, 3173 (1993); S. P. Vyatchanin and A. B. Matsko, Zh. Éksp. Teor. Fiz. 104, 2668 (1993) [JETP 77, 218 (1993)]; G. J. Milburn, K. Jacobs, and D. F. Walls, Phys. Rev. A 50, 5256 (1994).
32. W. G. Unruh, in Quantum Optics, Experimental Gravitation, and Measurement Theory, edited by P. Meystre and M. O. Scully (Plenum, New York, 1982), p. 647; M. T. Jaekel and S. Reynaud, Europhys. Lett. 13, 301 (1990); D. V. Kupriyanov and I. M. Sokolov, Quantum Opt. 4, 55 (1992); A. F. Pace, M. J. Collett, and D. F. Walls, Phys. Rev. A 47, 3173 (1993); S. P. Vyatchanin and A. B. Matsko, Zh. Éksp. Teor. Fiz. 104, 2668 (1993) [JETP 77, 218 (1993)]; G. J. Milburn, K. Jacobs, and D. F. Walls, Phys. Rev. A 50, 5256 (1994).
33. W. G. Unruh, in Quantum Optics, Experimental Gravitation, and Measurement Theory, edited by P. Meystre and M. O. Scully (Plenum, New York, 1982), p. 647; M. T. Jaekel and S. Reynaud, Europhys. Lett. 13, 301 (1990); D. V. Kupriyanov and I. M. Sokolov, Quantum Opt. 4, 55 (1992); A. F. Pace, M. J. Collett, and D. F. Walls, Phys. Rev. A 47, 3173 (1993); S. P. Vyatchanin and A. B. Matsko, Zh. Éksp. Teor. Fiz. 104, 2668 (1993) [JETP 77, 218 (1993)]; G. J. Milburn, K. Jacobs, and D. F. Walls, Phys. Rev. A 50, 5256 (1994).
34. B. Yurke, S. L. McCall, and J. R. Clauder, Phys. Rev. A 33, 4033 (1986).
35. C. Brif and A. Mann, Phys. Rev. A 54, 4505 (1996); T. Kim, O. Phister, M. J. Holland, J. Noh, and J. L. Hall, ibid. 57, 4004 (1998), and references therein.
36. C. Brif and A. Mann, Phys. Rev. A 54, 4505 (1996); T. Kim, O. Phister, M. J. Holland, J. Noh, and J. L. Hall, ibid. 57, 4004 (1998), and references therein.