Abstract
We study the quantum interference between the excitation pathways in a three-level Λ-type atom interacting with two short laser pulse trains under the conditions of electromagnetically induced transparency. The probability amplitude equations which describe the interaction of a three-level Λ-type atom with two laser pulse trains are numerically solved. We derive analytical expressions for the population of the upper excited state for resonant laser pulse trains with a rectangular temporal profile. By varying the parameters of the laser pulse trains such as area of a single pulse, detuning, repetition period, and number of individual pulses, we analyze the quantum interference between the excitation pathways in terms of the upper excited state population.
Similar content being viewed by others
References
M. Shapiro, P. Brumer, in Advances in Atomic, Molecular and Optical Physics, edited by B. Bederson, H. Walther (Academic Press, San Diego, 1999), Vol. 42, pp. 287-345
F. Ehlotzky, Phys. Rep. 345, 175 (2001)
S.E. Harris, Phys. Today 50, 36 (1997)
J.P. Marangos, J. Mod. Opt. 45, 471 (1998)
K. Bergmann, H. Theuer, B.W. Shore, Rev. Mod. Phys. 70, 1003 (1998)
O. Kocharovskaya, Ya.I. Khanin, Sov. Phys. J. Exp. Theor. Phys. 63, 945 (1986)
K.J. Boller, A. Imamoglu, S.E. Harris, Phys. Rev. Lett. 66, 2593 (1991)
M. Fleischhauer, A. Imamoglu, J.P. Marangos, Rev. Mod. Phys. 77, 633 (2005)
G. Alzetta, A. Gozzini, L. Moi, G. Oriolis, Nuovo Cimento B 36, 5 (1976)
A. Marian, M.C. Stowe, J.R. Lawall, D. Felinto, J. Ye, Science 306, 2063 (2004)
M.C. Stowe, F.C. Cruz, A. Marian, J. Ye, Phys. Rev. Lett. 96, 153001 (2006)
D. Felinto, C.A.C. Bosco, L.H. Acioli, S.S. Vianna, Opt. Commun. 215, 69 (2003)
D. Felinto, L.H. Acioli, S.S. Vianna, Phys. Rev. A 70, 043403 (2004)
S. Zhdanovich, E.A. Shapiro, M. Shapiro, J.W. Hepburn, V. Milner, Phys. Rev. Lett. 100, 103004 (2008)
H. Tang, T. Nakajima, Opt. Commun. 281, 4671 (2008)
A.A. Soares, L.E.E. de Araujo, J. Phys. B 43, 085003 (2010)
M.P. Moreno, S.S. Vianna, J. Opt. Soc. Am. B 28, 1124 (2011)
E. Ilinova, A. Derevianko, Phys. Rev. A 86, 013423 (2012)
B.W. Shore, Acta Phys. Slovaca 58, 243 (2008)
N. Vitanov, P.L. Knight, Phys. Rev. A 52, 2245 (1995)
D. Aumiler, T. Ban, G. Pichler, Phys. Rev. A 79, 063403 (2009)
D. Felinto, C.A.C. Bosco, L.H. Acioli, S.S. Vianna, Phys. Rev. A 64, 063413 (2001)
L. Allen, J.H. Eberly, Optical resonance and two-level atoms (Wiley, New York 1975)
N.F. Ramsey, Phys. Rev. 78, 695 (1950)
G.F. Thomas, Phys. Rev. A 35, 5060 (1987)
S.H. Autler, C.H. Townes, Phys. Rev. 100, 703 (1955)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Buica, G. Quantum interference effects in a Λ-type atom interacting with two short laser pulse trains. Eur. Phys. J. D 68, 311 (2014). https://doi.org/10.1140/epjd/e2014-50290-4
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjd/e2014-50290-4