Algebraic decay of the survival probability in chaotic helium

[en] We demonstrate that the classical helium atom exhibits algebraic decay of the survival probability in the autoionizing eZe configuration. Excitation towards asymptotic orbits of marginal stability is identified as the cause of the nonexponential decay. Since one electron travels along a bound Kepler trajectory of infinite excitation in these orbits, we argue that the classical decay law will prevail in the quantum dynamics of a wave packet launched along the eZe configuration.

Disciplines :

Physics

Author, co-author :

Schlagheck, Peter ; Université de Liège - ULiège > Département de physique > Physique quantique statistique

Buchleitner, A.

Language :

English

Title :

Algebraic decay of the survival probability in chaotic helium

Publication date :

2001

Journal title :

Physical Review. A, Atomic, molecular, and optical physics

ISSN :

1050-2947

eISSN :

1094-1622

Publisher :

American Physical Society, College Park, United States - Maryland

Volume :

Issue :

Pages :

024701

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 05 November 2010

Statistics

Number of views

36 (1 by ULiège)

Number of downloads

0 (0 by ULiège)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

OpenAlex citations

Bibliography

C. F. F. Karney, Physica D 8, 360 (1983).
B. V. Chirikov and D. L. Shepelyansky, Physica D 13, 395 (1984); Phys. Rev. Lett. 82, 528 (1999).
B. V. Chirikov and D. L. Shepelyansky, Physica D 13, 395 (1984); Phys. Rev. Lett. 82, 528 (1999).
R. S. MacKay, J. D. Meiss, and I. C. Percival, Phys. Rev. Lett. 52, 697 (1984).
J. D. Meiss and E. Ott, Phys. Rev. Lett. 55, 2741 (1985).
C. F. Hillermeier, R. Blümel, and U. Smilansky, Phys. Rev. A 45, 3486 (1992).
Y.-C. Lai, C. Grebogi, R. Blümel, and M. Ding, Phys. Rev. A 45, 8284 (1992); Y.-C. Lai, M. Ding, C. Grebogi, and R. Blümel 46, 4661 (1992).
Y.-C. Lai, C. Grebogi, R. Blümel, and M. Ding, Phys. Rev. A 45, 8284 (1992); Y.-C. Lai, M. Ding, C. Grebogi, and R. Blümel 46, 4661 (1992).
G. Zumofen and J. Klafter, Phys. Rev. E 59, 3756 (1999); S. Benkadda, S. Kassibrakis, R. White, and G. M. Zaslavsky, ibid. 59, 3761 (1999).
G. Zumofen and J. Klafter, Phys. Rev. E 59, 3756 (1999); S. Benkadda, S. Kassibrakis, R. White, and G. M. Zaslavsky, ibid. 59, 3761 (1999).
Y.-C. Lai, R. Blümel, E. Ott, and C. Grebogi, Phys. Rev. Lett. 68, 3491 (1992).
A. Buchleitner, D. Delande, J. Zakrzewski, R. N. Mantegna, M. Arndt, and H. Walther, Phys. Rev. Lett. 75, 3818 (1995).
G. Casati, G. Maspero, and D. L. Shepelyansky, Phys. Rev. Lett. 82, 524 (1999); G. Benenti, G. Casati, G. Maspero, and D. L. Shepelyansky, ibid. 84, 4088 (2000).
G. Casati, G. Maspero, and D. L. Shepelyansky, Phys. Rev. Lett. 82, 524 (1999); G. Benenti, G. Casati, G. Maspero, and D. L. Shepelyansky, ibid. 84, 4088 (2000).
F. Vivaldi, G. Casati, and I. Guarneri, Phys. Rev. Lett. 51, 727 (1983).
K.-C. Lee, Phys. Rev. Lett. 60, 1991 (1988).
H. Alt, H.-D. Gräf, H. L. Harney, R. Hofferbert, H. Lengeler, A. Richter, P. Schardt, and H. A. Weidemüller, Phys. Rev. E 53, 2217 (1996).
F. Borgonovi, I. Guarneri, and P. Sempio, Nuovo Cimento Soc. Ital. Fis., B 102, 151 (1988).
G. S. Ezra, K. Richter, G. Tanner, and D. Wintgen, J. Phys. B 24, L413 (1991).
K. Richter, G. Tanner, and D. Wintgen, Phys. Rev. A 48, 4182 (1993).
J.-M. Rost and D. Wintgen, Europhys. Lett. 35, 19 (1996); J.-M. Rost, J. Phys. B 27, 5923 (1994).
J.-M. Rost and D. Wintgen, Europhys. Lett. 35, 19 (1996); J.-M. Rost, J. Phys. B 27, 5923 (1994).
X. Tang, Y. Gu, and J. Yuan, Phys. Rev. A 54, 496 (1996); Z. Bai, Y. Gu, and J. Yuan, Physica D 118, 17 (1998).
X. Tang, Y. Gu, and J. Yuan, Phys. Rev. A 54, 496 (1996); Z. Bai, Y. Gu, and J. Yuan, Physica D 118, 17 (1998).
S. J. Aarseth and K. Zare, Celest. Mech. 10, 185 (1974).
G. Handke, M. Draeger, and H. Friedrich, Physica A 197, 113 (1993).
Note that Ref. [10] predicts a decay exponent αH = 1 for mixed regular chaotic phase space structure. However, this result describes the leakage from the local vicinity of a nonlinear resonance island, through absorbing boundary conditions. In contrast, in the experiment [9] as well as in our present paper the survival probability is determined by the asymptotic transport to phase-space regions, which are remote from the initially occupied area.
H. Friedrich, Theoretical Atomic Physics, 2nd ed. (Springer-Verlag, Berlin, 1998).
M. W. Noel, W. M. Griffith, and T. F. Gallagher, Phys. Rev. Lett. 83, 1747 (1999).