RT Journal Article T1 Zeno effect in spontaneous decay induced by coupling to an unstable level A1 Luis Aina, Alfredo AB A metastable atomic level can be tendered unstable in a controllable way by coupling it to a decaying state. In this work we carry out a full dynamical analysis of the Zeno effect in this kind of unstable systems, comparing it to the inhibition of purely coherent Rabi oscillations. Simple and experimentally feasible measuring strategies involving three atomic levels are considered. It is shown that this induced decay is actually an example of a partial Zeno effect so that the observed evolution results from the competition of two Zeno effects. We also show that a three-level scheme can display both coherent, incoherent, and anti-Zeno effects. PB American Physical Society SN 1050-2947 YR 2001 FD 2001-09 LK https://hdl.handle.net/20.500.14352/59679 UL https://hdl.handle.net/20.500.14352/59679 LA eng NO [1] D. Home and M.A.B. Whitaker, Ann. Phys. (N.Y.) 258, 237 (1997).[2] A.M. Lane, Phys. Lett. 99A, 359 (1983); A. Luis and L.L. Sánchez-Soto, Phys. Rev. A 57, 781 (1998); S. Pascazio and P. Facchi, Acta Phys. Slov. 49, 557 (1999); A.G. Kofman and G. Kurizki, ibid. 49, 541 (1999); Nature (London) 405, 546 (2000); M. Lewenstein and K. Rzążewski, Phys. Rev. A 61, 022105 (2000); O.V. Prezhdo, Phys. Rev. Lett. 85, 4413 (2000).[3] P. Facchi, H. Nakazato, and S. Pascazio, e-print quant-ph/0006094.[4] Y. Aharonov and M. Vardi, Phys. Rev. D 21, 2235 (1980); T.P. Altenmüller and A. Schenzle, Phys. Rev. A 48, 70 (1993); M. Kitano, ibid. 56, 1138 (1997); M. Kitano, K. Yamane, and T. Ikushima, ibid. 59, 3710 (1999); A.P. Balachandran and S.M. Roy, Phys. Rev. Lett. 84, 4019 (2000); L. Diósi, e-print quant-ph/010429.[5] W.M. Itano, D.J. Heinzen, J.J. Bollinger, and D.J. Wineland, Phys. Rev. A 41, 2295 (1990).[6] S. Slijkhuis, G. Nienhuis, and R. Morgenstern, Phys. Rev. A 33, 3977 (1986); K. Mo.lhave and M. Drewsen, Phys. Lett. A 268, 45 (2000); T. Nakanishi, K. Yamane, and M. Kitano, e-print quant-ph/0103034.[7] B. Nagels, L.J.F. Hermans, and P.L. Chapovsky, Phys. Rev. Lett. 79, 3097 (1997).[8] S.R. Wilkinson, C.F. Bharucha, M.C. Fischer, K.W. Madison, P.R. Morrow, Q. Niu, B. Sundaram, and M.G. Raizen, Nature (London) 387, 575 (1997).[9] M.B. Plenio, P.L. Knight, and R.C. Thompson, Opt. Commun. 123, 278 (1996).[10] J.F. Poyatos, J.I. Cirac, and P. Zoller, Phys. Rev. Lett. 77, 4728 (1996); C.J. Myatt, B.E. King, Q.A. Turchette, C.A. Sackett, D. Kielpinski, W.M. Itano, C. Monroe, and D.J. Wineland, Nature (London) 403, 269 (2000); Q.A. Turchette, C.J. Myatt, B.E. King, C.A. Sackett, D. Kielpinski, W.M. Itano, C. Monroe, and D.J. Wineland, Phys. Rev. A 62, 053807 (2000).[11] H.J. Kimble, R.J. Cook, and A.L. Wells, Phys. Rev. A 34, 3190 (1986).[12] V. Frerichs and A. Schenzle, Phys. Rev. A 44, 1962 (1991); E. Block and P.R. Berman, ibid. 44, 1466 (1991).[13] M.J. Gagen and G.J. Milburn, Phys. Rev. A 47, 1467 (1993).[14] W. Nagourney, J. Sandberg, and H. Dehmelt, Phys. Rev. Lett. 56, 2797 (1986); Th. Sauter, W. Neuhauser, R. Blatt, and P.E. Toschek, ibid. 57, 1696 (1986); J.C. Bergquist, R.G. Hulet, W.M. Itano, and D.J. Wineland, ibid. 57, 1699 (1986).[15] A. Peres and A. Ron, Phys. Rev. A 42, 5720 (1990); T.F. Jordan, E.C.G. Sudarshan, and P. Valanju, ibid. 44, 3340 (1991).[16] A. Beige and G.C. Hegerfeldt, Phys. Rev. A 53, 53 (1996).[17] L.S. Schulman, Phys. Rev. A 57, 1509 (1998).[18] T.P. Altenmüller and A.S. Schenzle, Phys. Rev. A 49, 2016 (1994).[19] T.P. Spiller, Phys. Lett. A 192, 163 (1994); O. Alter and Y. Yamamoto, Phys. Rev. A 55, R2499 (1997); P.E. Toschek and C. Wunderlich, e-print quant-ph/0009021.[20] A. Beige and G.C. Hegerfeldt, J. Phys. A 30, 1323 (1997).[21] Chr. Balzer, R. Huesmann, W. Neuhauser, and P.E. Toschek, Opt. Commun. 180, 115 (2000).[22] W.L. Power and P.L. Knight, Phys. Rev. A 53, 1052 (1996).[23] C. Cohen-Tannoudji and J. Dalibard, Europhys. Lett. 1, 441 (1986); P. Zoller, M. Marte, and D.F. Walls, Phys. Rev. A 35, 198 (1987).[24] A. Luis and J. Peřina, Phys. Rev. Lett. 76, 4340 (1996). NO ©2001 The American Physical Society DS Docta Complutense RD 1 may 2024