Abstract
We study theoretically coherent dynamics of cold atoms in the near-resonant 2D optical lattice with orthogonal polarizations, taking into account a coupling between the atomic internal (electronic) and external (translational) degrees of freedom. We show that in the semiclassical approximation this dynamics may be regular or chaotic in dependence on the values of the detuning between the electric-dipole transition and the laser field frequencies. Chaos manifests itself both in the Rabi oscillations and in the translational motion at comparatively small absolute values of the detuning. The center-of-mass motion in the chaotic regime resembles the random walk of atoms in a 2D lattice which is an absolutely rigid one. Chaos is quantified by the values of the maximal Lyapunov exponent and is shown to be weaker as compared with the case of cold atoms in a 1D lattice. In fact, chaos appears at the time moments when the atom crosses 1D or 2D nodes of the lattice potential when its induced electric dipole moment changes suddenly in a random-like manner.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. Grynberg and C. Robilliard, Phys. Rep., 355, 335 (2001).
M. Greiner and S. Folling, Nature, 435, 736 (2008).
A. P. Kazantsev, G. I. Surdutovich, and V. P. Yakovlev, Mechanical Action of Light on Atoms, World Scientific, Singapore (1990).
V. Letokhov, Laser Control of Atoms and Molecules, Oxford University Press, New York (2007).
G. A. Askaryan, Sov. Phys. JETP, 15, 1088 (1962).
V. S. Letokhov, JETP Lett, 7, 272 (1968).
S. Chu, Rev. Mod. Phys., 73, 685 (1998).
C. Cohen-Tannoudji, Rev. Mod. Phys., 73, 707 (1998).
W. D. Phillips, Rev. Mod. Phys., 73, 721 (1998).
M. G. Raizen, Adv. At. Mol. Opt. Phys., 41, 43 (1999).
W. K. Hensinger, N. R. Heckenberg, G.J. Milburn, and H. Rubinsztein-Dunlop, J. Opt. B: Quantum Semiclass. Opt., 5, 83 (2003).
M. Sadgrove, S. Wimberger, S. Parkins, and R. Leonhardt, Phys. Rev. Lett., 94, 174103 (2005).
R. Graham, M. Schlautmann, and P. Zoller, Phys. Rev. A, 45, R19 (1992).
S. V. Prants, L. E. Kon’kov, and I. L. Kirilyuk, Phys. Rev. E, 60, 335 (1999)
S. V. Prants, Phys. Scr., 92, 044002 (2017).
D. Mello, D. Schaffner, J. Werkmann, et al., Phys. Rev. Lett., 122, 203601 (2019).
S. V. Prants and L. S. Yacoupova, J. Mod. Opt., 39, 961 (1992).
S. V. Prants, Zh. Éksp. Teor. Fiz., 136, 872 (1990).
L. E. Kon’kov and S. V. Prants, JETP Lett., 65, 833 (1997).
S. V. Prants and L. E. Kon’kov, Phys. Lett. A, 225, 33 (1997).
S. V. Prants and L. E. Kon’kov, JETP Lett., 73, 1801 (2001).
V. Yu. Argonov and S. V. Prants, J. Exp. Theor. Phys, 96, 832 (2003)..
S. V. Prants, M. Yu. Uleysky, and V. Yu. Argonov, Phys. Rev. A, 73, 023807 (2006).
V. Yu. Argonov and S. V. Prants, J. Russ. Laser Res., 27, 360 (2006).
S. V. Prants, Europhys. Lett., 99, 20009 (2012).
V. Yu. Argonov and S. V. Prants, Phys. Rev. A, 75, 063428 (2007).
V. Yu. Argonov and S. V. Prants, Phys. Rev. A, 78, 043413 (2008).
V. O. Vitkovsky and S. V. Prants, Opt. Spectrosc., 114, 52 (2013).
S. V. Prants, JETP Lett., 104, 749 (2016).
D. Hennequin and D. Verkerk, Eur. Phys. J. D, 57, 95 (2010).
E. Horsley, S. Koppell, and L. Reichl, Phys. Rev. E, 89, 012917 (2014).
Y. Boretz and L. E. Reichl, Phys. Rev. E, 91, 042901 (2015).
Max D. Porter and L. E. Reichl, Phys. Rev. E, 93, 012204 (2016).
L. E. Kon’kov and S. V. Prants, J. Math. Phys., 37, 1204 (1996).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Prants, S.V. Weak Chaos with Cold Atoms in a 2D Optical Lattice with Orthogonal Polarizations of Laser Beams. J Russ Laser Res 40, 213–220 (2019). https://doi.org/10.1007/s10946-019-09792-6
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10946-019-09792-6