RT Journal Article T1 Equivalence between macroscopic quantum superpositions and maximally entangled states: application to phase-shift detection A1 Luis Aina, Alfredo AB 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). PB American Physical Society SN 1050-2947 YR 2001 FD 2001-11 LK https://hdl.handle.net/20.500.14352/59678 UL https://hdl.handle.net/20.500.14352/59678 LA eng NO [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). NO ©2001 The American Physical Society DS Docta Complutense RD 2 may 2024