Abstract
We explain quantum revivals and fractional revivals in phase space of the Fermi–Ulam accelerator. We derive analytic expressions of the Wigner distribution function for the driven system describing quantum interferences in position and momentum space. We assume that the fractional revival times are nonrecurrent under certain conditions and display randomness in the occurrence of the phenomenon at these times.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M. Berry, I. Marzoli, and W. P. Schleich, Phys. World, 14, 39 (2001).
P. Strifter, C. Leichtle, W. P. Schleich, and J. Marklof, Z. Naturforsch., 52, 377 (1997).
F. Grosmann, J. Rost, and W. P. Schleich, J. Phys. A: Math. Gen., 30, L277 (1997).
M. J. W. Hall, M. S. Reineker, and W. P. Schleich, J. Phys. A: Math. Gen., 32, 8275 (1999).
S. Nowak, C. Kurtsiefer, T. Pfau, and C. David, Opt. Lett., 22, 1430 (1997).
A. E. Kaplan, I. Marzoli, W. E. Lamb, Jr., and W. P. Schleich, Phys. Rev. A, 61, 032101 (2000).
A. E. Kaplan, P. Stifter, K. A. H. van Leeuwen, et al., Phys. Scr., T76, 93 (1998).
I. Marzoli, F. Saif, I. Bialynicki-Birula, et al., Acta Phys. Slov., 48, 323 (1998).
W. P. Schleich, Quantum Mechanics in Phase Space, Wiley-VCH, Berlin (2001).
T. Abbas and F. Saif, J. Math. Phys., 51, 102107 (2010).
A. J. Makowski and S. T. Dembiński, Phys. Lett. A, 154, 143 (1991).
E. Wigner, Phys. Rev., 40, 749 (1932).
K. Leo, J. Shah, E. O. Göbel, et al., Phys. Rev. Lett., 66, 201 (1991).
J. Parker and C. R. Stroud, Jr., Phys. Rev. Lett., 56, 716 (1986).
G. Alber, H. Ritsch, and P. Zoller, Phys. Rev. A, 34, 1058 (1986).
D. M. Meekhof, C. Monroe, B. E. King, et al., Phys. Rev. Lett., 76, 1796 (1996).
F. Saif, Phys. Rev. A, 73, 033618 (2006).
H. Mack, M. Bienert, F. Haug, et al., Phys. Status Solidi (b), 233, 408 (2002).
I. Sh. Averbukh, M. J. J. Vrakking, D. M. Villeneuve, and A. Stolow, Phys. Rev. Lett., 77, 3518 (1996).
M. A. Lieberman and A. J. Lichtenberg, Phys. Rev. A, 5, 1852 (1972).
F. Saif and M. Fortunato, Phys. Rev. A, 65, 013401 (2001).
P. Seba, Phys. Rev. A, 41, 2306 (1990).
M. Belloni, M. A. Doncheski, and R. W. Robinett, Am. J. Phys., 72, 1183 (2004).
R. W. Robinett, J. Math. Phys., 4, 1801 (2000).
R. W. Robinett, Phys. Rep., 392, 1 (2004).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Abbas, T., Saif, F. Dynamic quantum revivals in phase space. J Russ Laser Res 33, 448–455 (2012). https://doi.org/10.1007/s10946-012-9301-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10946-012-9301-z