Publication:
Equivalence between macroscopic quantum superpositions and maximally entangled states: application to phase-shift detection

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2001-11
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
We demonstrate that the superpositions of macroscopically distinct coherent states are maximally entangled states. Among other possible applications of this result, in this paper we show that the experimental arrangements generating superpositions of macroscopically distinct coherent states may be adapted for precision phase-shift detection reaching the maximum sensitivity allowed by quantum physics (Heisenberg limit).
Description
©2001 The American Physical Society
Keywords
Citation
[1] V. Bužek and P. L. Knight, in Progress in Optics, edited by E. Wolf (Elsevier, Amsterdam, 1995), Vol. 34, p. 1; C.C. Gerry and P.L. Knight, Am. J. Phys. 65, 964 (1997). [2] M. Brune, S. Haroche, J.M. Raimond, L. Davidovich, and N. Zagury, Phys. Rev. A 45, 5193 (1992); L. Davidovich, A. Maali, M. Brune, J.M. Raimond, and S. Haroche, Phys. Rev. Lett. 71, 2360 (1993); M. Brune, E. Hagley, J. Dreyer, X. Maître, A. Maali, C. Wunderlich, J.M. Raimond, and S. Haroche, ibid. 77, 4887 (1996); L. Davidovich, M. Brune, J.M. Raimond, and S. Haroche, Phys. Rev. A 53, 1295 (1996); S. Haroche, Phys. Today 51.7., 36 (1998). [3] J.M. Raimond, M. Brune, and S. Haroche, Phys. Rev. Lett. 79, 1964 (1997). [4] C. Monroe, D.M. Meekhof, B.E. King, and D.J. Wineland, Science 272, 1131 (1996). [5] M.W. Noel and C.R. Stroud, Jr., Phys. Rev. Lett. 77, 1913 (1996); J.R. Friedman, V. Patel, W. Chen, S.K. Tolpygo, and J.E. Lukens, Nature (London) 406, 43 (2000). [6] J.J. Bollinger, W.M. Itano, D.J. Wineland, and D.J. Heinzen, Phys. Rev. A 54, R4649 (1996); S.F. Huelga, C. Macchiavello, T. Pellizzari, A.K. Ekert, M.B. Plenio, and J.I. Cirac, Phys. Rev. Lett. 79, 3865 (1997). [7] C.C. Gerry, Phys. Rev. A 53, 2857 (1996); S.-B. Zheng and G.-C. Guo, J. Mod. Opt. 44, 963 (1997); J. Steinbach and C.C. Gerry, Phys. Rev. Lett. 81, 5528 (1998); K. Mo.lmer and A. So.rensen, ibid. 82, 1835 (1999); D. Jaksch, H.-J. Briegel, J.I. Cirac, C.W. Gardiner, and P. Zoller, ibid. 82, 1975 (1999); C.C. Gerry, Phys. Rev. A 61, 043811 (2000); C.A. Sackett, D. Kielpinski, B.E. King, C. Langer, V. Meyer, C.J. Myatt, M. Rowe, Q.A. Turchette, W.M. Itano, D.J. Wineland, and C. Monroe, Nature (London) 404, 256 (2000); A. Rauschenbeutel, G. Nogues, S. Osnaghi, P. Bertet, M. Brune, J.M. Raimond, and S. Haroche, Science 288, 2024 (2000); S. Raghavan, H. Pu, P. Meystre, and N.P. Bigelow, e-print cond-mat/0010140. [8] A. Luis and L. L. Sánchez-Soto, in Progress in Optics, edited by E. Wolf (Elsevier, Amsterdam, 2000), Vol. 41, p. 421. [9] Z.Y. Ou, Phys. Rev. A 55, 2598 (1997); V. Peřinová, A. Lukš, and J. Peřina, Phase in Optics (World Scientific, Singapore, 1998). [10] N.D. Mermin, Phys. Rev. Lett. 65, 1838 (1990). [11] D.J. Wineland, C. Monroe, W.M. Itano, B.E. King, D. Leibfried, C. Myatt, and C. Wood, Phys. Scr., T 76, 147 (1998). [12] P. Bouyer and M.A. Kasevich, Phys. Rev. A 56, R1083 (1997). [13] B.C. Sanders, Phys. Rev. A 45, 6811 (1992); 46, 2966 (1992); R. Filip, J. Řeháček, and M. Dušek, e-print quant-ph/0011006. [14] G.S. Agarwal, Phys. Rev. Lett. 57, 827 (1986); J. Opt. Soc. Am. B 5, 1940 (1988); S.-C. Gou, J. Steinbach, and P.L. Knight, Phys. Rev. A 54, R1014 (1996); X.-M. Liu, Phys. Lett. A 279, 123 (2001). [15] V. Bužek and M. Hillery, Czech. J. Phys. 45, 711 (1995). [16] C.M. Savage, S.L. Braunstein, and D.F. Walls, Opt. Lett. 15, 628 (1990). [17] J.C. Retamal and N. Zagury, Phys. Rev. A 55, 2387 (1997). [18] C.C. Gerry, Phys. Rev. A 55, 2478 (1997). [19] D.A. Rice and B.C. Sanders, Quantum Semiclassic. Opt. 10, L41 (1998); B.C. Sanders and D.A. Rice, Phys. Rev. A 61, 013805 (2000); D.A. Rice, G. Jaeger, and B.C. Sanders, ibid. 62, 012101 (2000). [20] L.G. Lutterbach and L. Davidovich, Phys. Rev. Lett. 78, 2547 (1997). [21] A. Luis, Phys. Rev. A (to be published). [22] A. Luis and L.L. Sánchez-Soto, J. Phys. A 24, 2083 (1991); Quantum Opt. 5, 33 (1993); Phys. Rev. A 47, 1492 (1993); G.M. D’Ariano, C. Macchiavello, N. Sterpi, and H.P. Yuen, ibid. 54, 4712 (1996). [23] R. S. Longhurst, Geometrical and Physical Optics (Longmans, London, 1967). [24] J. Jacobson, G. Björk, I. Chuang, and Y. Yamamoto, Phys. Rev. Lett. 74, 4835 (1995); S.M. Barnett, N. Imoto, and B. Huttner, J. Mod. Opt. 45, 2217 (1998). [25] N.A. Ansari, L. Di Fiore, M.A. Man’ko, V.I. Man’ko, S. Solimeno, and F. Zaccaria, Phys. Rev. A 49, 2151 (1994).
Collections