Beam splitting and entanglement: Generalized coherent states, group contraction, and the classical limit

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 71, Issue 6, 2005, Pages

  Gerry, Christopher C ^a   Benmoussa, Adil ^a  

^a CITY UNIVERSITY OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANNIHILATION; BARUT-GIRARDELLO COHERENT STATES; ENTANGLEMENT; HOLSTEIN-PRIMAKOFF REALIZATION;

ALGEBRA; COHERENT LIGHT; ENTROPY; MATHEMATICAL OPERATORS; VACUUM;

OPTICAL BEAM SPLITTERS;

EID: 26944470299     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.71.062319     Document Type: Article

References (21)

1. Y. Aharanov, D. Falkoff, E. Lerner, and H. Pendleton, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(66)90079-0 39, 498 (1966).
2. M. S. Kim, W. Son, V. Buåek, and P. L. Knight, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.032323 65, 032323 (2002).
3. D. Markham and V. Vedral, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.042113 67, 042113 (2003).
4. T. Holstein and H. Primakoff, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.58.1058 58, 1058 (1940).
5. J. M. Radcliffe, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/4/3/009 4, 313 (1971);
6. see also F. T. Arrecchi, E. Courtens, R. Gilmore, and H. Thomas, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.6.2211 6, 2211 (1972).
7. D. Stoler, B. E. A. Saleh, and M. C. Teich, Opt. Acta OPACAT 0030-3909 32, 345 (1985).
8. See, for example, Y. Aharanov, E. C. Lerner, H. W. Huang, and J. M. Knight, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1666389 14, 746 (1973);
9. C. C. Gerry, J. Phys. A JPHAC5 0305-4470 16, L7 (1983);
10. C. Brif and Y. Ben-Aryeh, Quantum Opt. QUOPET 0954-8998 6, 391 (1994);
11. C. Brif, Quantum Semiclassic. Opt. QUSOEC 1355-5111 7, 903 (1995);
12. A. Wünsche, Acta Phys. Slov. APSVCO 0323-0465 49, 771 (1999).
13. A. M. Perelomov, Commun. Math. Phys. CMPHAY 0010-3616 26, 222 (1972);
14. A. Perelomov, Generalized Coherent States and Their Applications (Springer, Berlin, 1986).
15. A. O. Barut and L. Girardello, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01646483 21, 41 (1971).
16. See R. Gilmore, Lie Groups, Lie Algebras, and Some of Their Applications (Wiley, New York, 1974), Chap., and references therein.
17. We are using the same description of a beam splitter as used in Ref.. A more general treatment of beam splitting can be found in R. A. Campos, B. E. A. Saleh, and M. C. Teich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40.1371 40, 1371 (1989).
18. See, for example, D. F. Walls and G. J. Milburn, Quantum Optics (Springer, Berlin, 1994), p. 42;
19. C. C. Gerry and P. L. Knight, Introductory Quantum Optics (Cambridge University Press, Cambridge, England, 2005), p. 170.
20. See R. Tanaå, in Coherence and Quantum Optics V, edited by, L. Mandel, and, E. Wolf, (Plenum, New York, 1984), p. 643;
21. C. C. Gerry and R. Grobe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.49.2033 49, 2033 (1994).