Relations between bosonic quadrature squeezing and atomic spin squeezing

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 3, 2003, Pages

  Wang, Xiaoguang ^a,b   Sanders, Barry C ^a,c  

^a MACQUARIE UNIVERSITY   (Australia)

^b HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

^c UNIVERSITY OF CALGARY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMS; EIGENVALUES AND EIGENFUNCTIONS; GROUND STATE; HAMILTONIANS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; PHOTONS; PROBABILITY DISTRIBUTIONS; RAMAN SCATTERING;

ATOMIC SPIN SQUEEZING; BOSONIC QUADRATURE SQUEEZING; EVEN BOSONIC COHERENT STATE; EVEN SPIN COHRENT STATE; HOLSTEIN-PRIMAKOFF TRANSFORMATION; ODD BOSONIC COHERENT STATE; ODD SPIN COHERENT STATE; SINGLE MODE DICKE HAMILTONIAN;

QUANTUM OPTICS;

EID: 0242610792     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (69)

1. D. F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, Berlin 1994).
2. C.M. Caves, Phys. Rev. D 23, 1693 (1981).
3. R.S. Bondurant and J.H. Shapiro, Phys. Rev. D 30, 2548 (1984).
4. K. Wódkiewicz and J.H. Eberly, J. Opt. Soc. Am. B 2, 458 (1985).
5. M. Kitagawa and M. Ueda, Phys. Rev. A 47, 5138 (1993).
6. D.J. Wineland, J.J. Bollinger, W.M. Itano, and D.J. Heinzen, Phys. Rev. A 50, 67 (1994).
7. G.S. Agarwal and R.R. Puri, Phys. Rev. A 41, 3782 (1990).
8. M.D. Lukin, S.F. Yeln, and M. Fleischhauer, Phys. Rev. Lett. 84, 4232 (2000)
9. A. André and M.D. Lukin, Phys. Rev. A 65, 053819 (2002).
10. L. Vernac, M. Pinard, and E. Giacobino, Phys. Rev. A 62, 063812 (2000).
11. A. Kuzmich, N.P. Bigelow, and L. Mandel, Europhys. Lett. 43, 481 (1998)
12. A. Kuzmich, L. Mandel, and N.P. Bigelow, Phys. Rev. Lett. 85, 1594 (2000)
13. A. Kozhekin, K. Mølmer, and E.S. Polzik, Phys. Rev. A 62, 033809 (2000).
14. A. Sørensen and K. Mølmer, Phys. Rev. Lett. 83, 2274 (1999)
15. K. Helmerson and L. You, Phys. Rev. Lett. 87, 170402 (2001)
16. ÖE. Müstecaplioǧlu, M. Zhang, and L. You, Phys. Rev. A 66, 033611 (2002)
17. S. Yi, ÖE. Müstecaplioǧlu, C.P. Sun, and L. You, ibid. 66, 011601 (2002)
18. Ö.E. Müstecaplioǧglu, M. Zhang, and L. You, ibid. 66, 033611 (2002).
19. J. Hald, J.L. Sørensen, C. Schori, and E.S. Polzik, Phys. Rev. Lett. 83, 1319 (1999).
20. C. Orzel, A.K. Tuchman, M.L. Fenselau, M. Yasuda, and M.A. Kasevich, Science 291, 2386 (2001).
21. U.V. Poulsen and K. Mølmer, Phys. Rev. Lett. 87, 123601 (2001)
22. U.V. Poulsen and K. Mølmer, Phys. Rev. A 64, 013616 (2001).
23. L.K. Thomsen, S. Mancini, and H.M. Wiseman, Phys. Rev. A 65, 061801 (2002)
24. D.W. Berry and B.C. Sanders, ibid. 66, 012313 (2002).
25. A.R. Usha Devi, K.S. Mallesh, M.A.A. Sbaih, K.B. Nalini, and G. Ramachandran, J. Phys. A 36, 5333 (2003).
26. T. Gasenzer, D.C. Roberts, and K. Burnett, Phys. Rev. A 65, 021605 (2002).
27. J.K. Stockton, J.M. Geremia, A.C. Doherty, and H. Mabuchi, Phys. Rev. A 67, 022112 (2003).
28. C.K. Law, H.T. Ng, and P.T. Leung, Phys. Rev. A 63, 055601 (2001).
29. H. Pu, W. Zhang, and P. Meystre, Phys. Rev. Lett. 89, 090401 (2002)
30. S. Raghavan, H. Pu, and N.P. Bigelow, Opt. Commun. 188, 149 (2001).
31. X. Wang, A. Sørensen, and K. Mølmer, Phys. Rev. A 64, 053815 (2001)
32. X. Wang, J. Opt. B: Quantum Semiclassical Opt. 3, 93 (2001).
33. X. Wang, J. Opt. B: Quantum Semiclassical Opt. 200, 277 (2001).
34. A.G. Rojo, Phys. Rev. A 68, 013807 (2003).
35. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
36. A. Sørensen, L.-M. Duan, J.I. Cirac, and P. Zoller, Nature (London) 409, 63 (2001)
37. A. Sørensen, Phys. Rev. A 65, 043610 (2002).
38. D.W. Berry and B.C. Sanders, New J. Phys. 4, 8 (2002).
39. M.G. Raymer, A.C. Funk, B.C. Sanders, and H. de Guise, Phys. Rev. A 67, 052104 (2003).
40. D. Ulam-Orgikh and M. Kitagawa, Phys. Rev. A 64, 052106 (2001).
41. X. Wang and B.C. Sanders, Phys. Rev. A 68, 012101 (2003).
42. B. Kraus, K. Hammerer, G. Giedke, and J.I. Cirac, Phys. Rev. A 67, 042314 (2003).
43. A.R. Usha Devi, X. Wang, and B.C. Sanders, Quantum Inf. Process. (to be published), e-print quant-ph/0304051.
44. For instance, S.M. Chumakov, A. Frank and K.B. Wolf, Phys. Rev. A 60, 1817 (1999).
45. T. Holstein and H. Primakoff, Phys. Rev. 58, 1098 (1940)
46. D.J. Rowe, H. de Guise, and B.C. Sanders, J. Math. Phys. 42, 2315 (2001)
47. C. Emary and T. Brandes, Phys. Rev. Lett. 90, 044101 (2003).
48. A. Lukš, V. Peřinová, and Z. Hradil, Acta Phys. Pol. A 74, 713 (1988)
49. A. Lukš, V. Pev̌rinová, and J. Peřina, Opt. Commun. 67, 149 (1998)
50. K.N. Alekseev and D.S. Priǐmak, JETP 86, 61 (1998)
51. J. Bajer, A. Miranowicz, and R. Tanaś, Czech. J. Phys. 52, 1313 (2002).
52. R.H. Dicke, Phys. Rev. 93, 99 (1954).
53. M. Brune, F. Schmidt-Kaler, A. Maali, J. Dreyer, E. Hagley, J.M. Raimond, and S. Haroche, Phys. Rev. Lett. 76, 1800 (1996).
54. C. Monroe, D.M. Meekhof, B.E. King, and D.J. Wineland, Science 22, 1131 (1996)
55. D.J. Wineland, C. Monroe, W.M. Itano, D. Leibfreid, B.E. King, and D.M. Meekhof, J. Res. Natl. Inst. Stand. Technol. 103, 259 (1998).
56. N.W. Noel and C.R. Stroud, Jr., Phys. Rev. Lett. 77, 1913 (1996).
57. C.C. Gerry and R. Grobe, Phys. Rev. A 56, 2390 (1997)
58. 57, 2247 (1998).
59. V. Bužek, A. Vidiella-Barranco, and P.L. Knight, Phys. Rev. A 45, 6570 (1992).
60. J.M. Radcliffe, J. Phys. A 4, 313 (1971)
61. F.T. Arechi, E. Courtens, R. Gilmore, and H. Thomas, Phys. Rev. A 6, 2211 (1972)
62. R. Gilmore, C.M. Bowden, and L.M. Narducci, ibid. 12, 1019 (1975)
63. L.M. Narducci, C.M. Bowden, V. Bluemel, G.P. Garrazana, and R.A. Tuft, ibid. 11, 973 (1975)
64. G.S. Agarwal, ibid. 24, 2889 (1981).
65. A. Kuzmich, K. Mølmer, and E.S. Polzik, Phys. Rev. Lett. 79, 4782 (1997).
66. H. Saito and M. Ueda, Phys. Rev. Lett. 79, 3869 (1997)
67. H. Saito and M. Ueda, Phys. Rev. A 59, 3959 (1999).
68. M. Tavis and F.W. Cummings, Phys. Rev. 170, 379 (1968).
69. X. Wang, J. Phys. A 34, 9577 (2001).