Zeno and anti-Zeno effects in two-level systems

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2003

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[1] A. Peres, Am. J. Phys. 48, 931 (1980); C. Presilla, R. Onofrio, and U. Tambini, Ann. Phys. (N.Y.) 248, 95 (1996); D. Home and M.A.B. Whitaker, ibid. 258, 237 (1997). [2] P. Facchi and S. Pascazio, Progress in Optics, edited by E. Wolf (Elsevier, Amsterdam, 2001), Vol. 42, p. 147. [3] A. Luis and L.L. Sánchez-Soto, Phys. Rev. A 57, 781 (1998); A. Luis, ibid. 66, 012101 (2002). [4] B. Kaulakys and V. Gontis, Phys. Rev. A 56, 1131 (1997); L. Mišta, Jr., J. Herec, V. Jelínek, J. Řeháček, and J. Peřina, J. Opt. B: Quantum Semiclassical Opt. 2, 726 (2000); A.G. Kofman and G. Kurizki, Nature (London) 405, 546 (2000); O.V. Prezhdo, Phys. Rev. Lett. 85, 4413 (2000); M. Lewenstein and K. Rzążewski, Phys. Rev. A 61, 022105 (2000); A. Marchewka and Z. Schuss, ibid. 61, 052107 (2000); J. Řeháček, J. Peřina, P. Facchi, S. Pascazio, and L. Mišta, Jr., ibid. 62, 013804 (2000); B. Elattari, and S.A. Gurvitz, ibid. 62, 032102 (2000); A.G. Kofman, G. Kurizki, and T. Opatrný, ibid. 63, 042108 (2001); S.W. Kim, Y.-T. Chough, and K. An, ibid. 63, 052104 (2001); J. Ruseckas and B. Kaulakys, ibid. 63, 062103 (2001); I. Antoniou, E. Karpov, G. Pronko, and E. Yarevsky, ibid. 63, 062110 (2001); M.C. Fischer, B. Gutie´rrez-Medina, and M.G. Raizen, Phys. Rev. Lett. 87, 040402 (2001); J. Lawrence, J. Opt. B: Quantum Semiclassical Opt. 4, S446 (2002); K. Koshino, Phys. Rev. A 67, 042101 (2003). [5] P. Facchi and S. Pascazio, Phys. Rev. A 62, 023804 (2000); P. Facchi, H. Nakazato, and S. Pascazio, Phys. Rev. Lett. 86, 2699 (2001). [6] W.L. Power and P.L. Knight, Phys. Rev. A 53, 1052 (1996); A. Beige and G.C. Hegerfeldt, J. Phys. A 30, 1323 (1997); Chr. Balzer, R. Huesmann, W. Neuhauser, and P.E. Toschek, Opt. Commun. 180, 115 (2000); P.E. Toschek and Chr. Wunderlich, Eur. Phys. J. D 14, 387 (2001); P.E. Toschek and Chr. Balzer, J. Opt. B: Quantum Semiclassical Opt. 4, S450 (2002); Chr. Balzer, Th. Hannemann, D. Reiß, Chr. Wunderlich, W. Neuhauser, and P.E. Toschek, Opt. Commun. 211, 235 (2002). [7] S. Slijkhuis, G. Nienhuis, and R. Morgenstern, Phys. Rev. A 33, 3977 (1986); W.M. Itano, D.J. Heinzen, J.J. Bollinger, and D.J. Wineland, ibid. 41, 2295 (1990); V. Frerichs and A. Schenzle, ibid. 44, 1962 (1991); E. Block and P.R. Berman, ibid. 44, 1466 (1991); M.J. Gagen and G.J. Milburn, ibid. 47, 1467 (1993); P. Kwiat, H. Weinfurter, T. Herzog, and A. Zeilinger, Phys. Rev. Lett. 74, 4763 (1995); P. Kwiat, H. Weinfurter, T. Herzog, A. Zeilinger, and M. Kasevich, Ann. N.Y. Acad. Sci. 755, 383 (1995); B. Nagels, L.J.F. Hermans, and P.L. Chapovsky, Phys. Rev. Lett. 79, 3097 (1997); K. Mo.lhave and M. Drewsen, Phys. Lett. A 268, 45 (2000); T. Nakanishi, K. Yamane, and M. Kitano, Phys. Rev. A 65, 013404 (2002); P. Valente, H. Failache, and A. Lezama, ibid. 65, 023814 (2002). [8] A. Beige and G.C. Hegerfeldt, Phys. Rev. A 53, 53 (1996); L.S. Schulman, ibid. 57, 1509 (1998). [9] F.B. Jong, R.J.C. Spreeuw, and H.B. van Linden van den Heuvell, Phys. Rev. A 55, 3918 (1997). [10] A.D. Panov, Phys. Lett. A 298, 295 (2002). [11] Y. Aharonov and M. Vardi, Phys. Rev. D 21, 2235 (1980); H.F. Hofmann, G. Mahler, and O. Hess, Phys. Rev. A 57, 4877 (1998). [12] A.P. Balachandran and S.M. Roy, Phys. Rev. Lett. 84, 4019 (2000). [13] 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). [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] H.J. Kimble, R.J. Cook, and A.L. Wells, Phys. Rev. A 34, 3190 (1986). [16] C. Cohen-Tannoudji and J. Dalibard, Europhys. Lett. 1, 441 (1986); A. Schenzle and R.G. Brewer, Phys. Rev. A 34, 3127 (1986); P. Zoller, M. Marte, and D.F. Walls, ibid. 35, 198 (1987); M. Porrati and S. Putterman, ibid. 36, 929 (1987). [17] D.T. Pegg and P.L. Knight, Phys. Rev. A 37, 4303 (1988). [18] 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). [19] A. Luis and L.L. Sánchez-Soto, Phys. Rev. A 60, 56 (1999); K. Machida, H. Nakazato, S. Pascazio, H. Rauch, and S. Yu, ibid. 60, 3448 (1999); P. Facchi, V. Gorini, G. Marmo, S. Pascazio, and E.C.G. Sudarshan, Phys. Lett. A 275, 12 (2000); P. Facchi, S. Pascazio, A. Scardicchio, and L.S. Schulman, e-print quant-ph/0101037; A. Luis, Phys. Rev. A 63, 052112 (2001); J. Opt. B: Quantum Semiclassical Opt. 3, 238 (2001).
Abstract
We examine the appearance of Zeno and anti-Zeno effects when the unitary evolution of a two-level system is observed. We demonstrate that, contrary to previous claims, the anti-Zeno effect can occur in two-level systems so that the observation can enhance the transition probability. Moreover, for nonresonant couplings we show that the Zeno and anti-Zeno effects always appear sequentially in the evolution of the same system: there is Zeno effect in the short-time regime and anti-Zeno effect in the long-time regime.
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©2003 The American Physical Society.
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