Publication: Multimode quantum analysis of an interferometer
with moving mirrors
Loading...
Official URL
Full text at PDC
Publication Date
1992-06
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Citations
Exportar
Abstract
A multimode quantum analysis of noise reduction in interferometric measurements is presented. A unitary transformation relating the output modes with the input ones for a Michelson interferometer with moving mirrors is given. The evaluation of the noise spectrum shows that with a proper choice of the input states, the sensitivity of the interferometer can be pushed beyond the standard quantum limit. The results are compared with a semiclassical analysis.
Description
© 1992 The American Physical Society.
We are much indebted to Professor E. Bernabeu for his continual advice and interest in the present work.
UCM subjects
Unesco subjects
Keywords
Citation
[1] H. P. Yuen, Phys. Rev. Lett. 51, 719 (1983); M. Ozawa, ibid. 60, 385 (1988); Phys. Rev. A 41, 1735 (1990); W. T. Ni, ibid. 33, 2225 (1986); R. S. Bondurant and J. H. Shapiro, Phys. Rev. D 30, 2548 (1984).
[2] C. M. Caves, Phys. Rev. Lett. 45, 75 (1980); Phys. Rev. D 23, 1693 (1981).
[3] W. G. Unruh, in Quantum Optics, Experimental Gravitation and Measurement Theory, edited by P. Meystre and M. O. Scully (Plenum, New York, 1983), p. 647.
[4] M. T. Jaekel and S. Reynaud, Europhys. Lett. 13, 301 (1990).
[5] A. Luis and L. L. Sánchez-Soto, 3. Mod. Opt. 38, 971 (1991).
[6] B. Marx, Nature 287, 276 (1980).
[7] R. Loudon, Phys. Rev. Lett. 47, 815 (1981).
[8] A. Luis and L. L. Sánchez-Soto, Opt. Commun. (to be published) .
[9] S. Sarkar, J. Phys. A 21, 971 (1988); G. T. Moore, J. Math. Phys. 11, 2679 (1970)
[10] L. Schiff, Quantum Mechaniccs (McGraw-Hill, New York, 1949), Chap. VII; G. Dattoli, J. C. Gallardo, and A. Torre, An Algebraic View to the Operatorial Ordering and its Applications to Optics [Riv. Nuovo Cimento ll,1 (1988)].
[11] P. Martin, in Mony Body Physics, Les Houches Lectures, edited by C. de Witt and R. Balian (Gordon and Breach, New York, 1968), p. 39.
[12] A. Brillet, Ann. Phys. (Paris) 10, 219 (1985).
[13] A. Luis and L. L. Sánchez-Soto, J. Phys. A 24, 2083 (1991).
[14] B. Yurke, S. L. McCall, and J. R. Klauder, Phys. Rev. A 33, 4033 (1986).
[15] R. S. Bondurant, Phys. Rev. A 32, 2797 (1985).
[16] J. Gea; Banacloche and G. Leuchs, J. Opt. Soc. Am. B 4, 1667 (1987); J. Mod. Opt. 34, 793 (1987); 36, 1277 (1989).
[17] K. J. Blow, R. Loudon, S. J. D. Phoenix, and T. J. Shepherd, Phys. Rev. A 42, 4102 (1990)
[18] L. Wu, H. J. I&imble, J. L. Hall, and H. Wu, Phys. Rev. Lett. 57, 2520 (1986)
[19] M. J. Collet and C. W. Gardiner, Phys. Rev. A 30, 1386 (1984).
[20] D. Schoemaker, R. Schilling, L. Schnupp, W. Winkler, K. Maischberger, and A. Rudiger, Phys. Rev. D 38, 423 (1988).