Abstract
The results of investigation of the photodissociation dynamics of triatomic Bose-condensed ultracold molecules (trimers) with the formation of atoms and diatomic (dimer) pairs are presented. The interaction Hamiltonian is proposed, and a system of nonlinear equations is constructed that describes the evolution of atoms and molecules. Integrals of motion are obtained, and a nonlinear differential equation is derived for the time evolution of the atomic density with the use of these integrals. The solutions of this equation in various approximations imply that, depending on the initial conditions, different regimes of time evolution of the system are possible: periodic and aperiodic regimes.
Similar content being viewed by others
REFERENCES
W. Ketterle, Rev. Mod. Phys. 74, 1131 (2002).
E. A. Cornell and C. E. Wieman, Rev. Mod. Phys. 74, 875 (2002).
J. M. Sage et al., Phys. Rev. Lett. 94, 203001 (2005).
D. J. Heinzen et al., Phys. Rev. Lett. 84, 5029 (2005).
P. I. Khadzhi and A. P. Zingan, J. Exp. Theor. Phys. 112, 559 (2011).
P. I. Khadzhi and A. P. Zingan, Tech. Phys. Lett. 37, 404 (2011).
P. I. Khadzhi and A. P. Zingan, JETP Lett. 92, 444 (2010).
D. V. Tkachenko and P. I. Khadzhi, Tech. Phys. Lett. 34, 946 (2008).
M. Taglieber et al., Phys. Rev. Lett. 100, 010401 (2008).
C. Chin et al., Phys. Rev. Lett. 94, 123201 (2005).
J. Perez-Rios et al., Phys. Rev. Lett. 115, 073201 (2015).
H. Jing et al., Phys. Rev. A 77, 043614 (2008).
M. Tomza, Phys. Rev. Lett. 115, 063201 (2015).
X. Ye et al., Sci. Adv. 4, 0083 (2016).
A. Kumar et al., Phys. Rev. A 97, 043615 (2018).
S. Burger et al., Phys. Rev. Lett. 83, 5198 (1999).
Ch. Tao and Q. Gu, Phys. Rev. A 79, 023612 (2009).
M. G. Moore and A. Vardi, Phys. Rev. Lett. 88, 160402 (2002).
P. I. Khadzhi and D. V. Tkachenko, J. Nanoelectron. Optoelectron. 4, 101 (2009).
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series, and Products (Academic, New York, 2000; Nauka, Moscow, 1971).
G. Korn and T. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1961).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by I. Nikitin
Rights and permissions
About this article
Cite this article
Zingan, A.P., Vasilieva, O.F. & Khadzhi, P.I. Dynamics of Bose-Condensed Ultracold Atoms and Trimer Molecules with the Formation of Atomic–Molecular Pairs. J. Exp. Theor. Phys. 129, 783–791 (2019). https://doi.org/10.1134/S1063776119090073
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776119090073