×

Quantum Zeno and anti-Zeno effects in an unstable system with two bound states. (English) Zbl 1209.81019

Summary: We analyze the experimental observations reported by [M.C. Fischer, B. Gutiérrez-Medina, M.G. Raizen, Phys. Rev. Lett. 87, 040402 (2001)] by considering a system of coupled unstable bound quantum states \(|A\rangle\) and \(|B\rangle\). The state \(|B\rangle\) is coupled to a set of continuum states \(|C\Theta (\omega )\rangle\). We investigate the time evolution of \(|A\rangle\) when it decays into |\(C\Theta (\omega )\rangle\) via \(|B\rangle\), and find that frequent measurements on \(|A\rangle\) leads to both the quantum Zeno effect and the anti-Zeno effects depending on the frequency of measurements. We show that it is the presence of \(|B\rangle\) which allows for the anti-Zeno effect.

MSC:

81P15 Quantum measurement theory, state operations, state preparations
PDFBibTeX XMLCite
Full Text: DOI arXiv

References:

[1] Misra, B.; Sudarshan, E. C.G., J. Math. Phys., 18, 756 (1977)
[2] Chiu, C. B.; Sudarshan, E. C.G.; Misra, B., Phys. Rev. D, 16, 520 (1977)
[3] Kaulakys, B.; Gontis, V., Phys. Rev. A, 56, 1131 (1997)
[4] Kofman, A. G.; Kurizki, G., Nature, 405, 546 (2000)
[5] Facchi, P.; Nakazato, H.; Pascazio, S., Phys. Rev. Lett., 86, 2699 (2001)
[6] Valanju, P.; Sudarshan, E. C.G.; Chiu, C. B., Phys. Rev. D, 21, 1304 (1980)
[7] P. Valanju, PhD thesis, The University of Texas at Austin, 1980; P. Valanju, PhD thesis, The University of Texas at Austin, 1980
[8] Itano, W. M.; Heinzen, D. J.; Bollinger, J. J.; Wineland, D. J., Phys. Rev. A, 41, 2295 (1990)
[9] Fischer, M. C.; Gutiérrez-Medina, B.; Raizen, M. G., Phys. Rev. Lett., 87, 040402 (2001)
[10] Winter, R. G., Phys. Rev., 123, 1503 (1961)
[11] Bharucha, C. F.; Madison, K. W.; Morrow, P. R.; Wilkinson, S. R.; Sundaram, B.; Raizen, M. G., Phys. Rev. A, 55, R857 (1997)
[12] Friedrichs, K., Commun. Pure Appl. Math., 1, 361 (1948)
[13] Lee, T. D., Phys. Rev., 95, 1329 (1954)
[14] Sudarshan, E. C.G., (Proc. Brandeis Summer Institute on Theoretical Physics (1962), W.A. Benjamin, Inc.: W.A. Benjamin, Inc. New York)
[15] Panov, A. D., Phys. Lett. A, 298, 295 (2002)
[16] Antoniou, I.; Karpov, E.; Pronko, G.; Yarevsky, E., Phys. Rev. A, 63, 062110 (2001)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.