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Physical Review A

Adiabatic condition for coherent atom–heteronuclear-molecule conversion

Hui Jing, F. Zheng, Yurong Jiang, Z. Geng

Published Sep 25, 2008• 18 citations
Publisher

Abstract

Recently, Pu et al. developed an efficient strategy to find the adiabatic condition of a nonlinear system---i.e., the atom-homonuclear dimer conversion [Phys. Rev. Lett. 98, 050406 (2007)]. Here, by applying their method, we extend it to study the adiabatic condition of coherent atom--heteronuclear-diatomic- or -triatomic-molecule conversion. The different adiabatic evolutions in creating the homo- or heteronuclear dimers are compared. The impact of the two different reaction paths on the adiabatic conditions in creating the heteronuclear triatomic molecules is also discussed.

DOI
10.1103/physreva.78.033617

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Recently, Pu et al. developed an efficient strategy to find the adiabatic condition of a nonlinear system---i.e., the atom-homonuclear dimer conversion [Phys. Rev. Lett. 98, 050406 (2007)]. Here, by applying their method, we extend it to study the adiabatic condition of coherent atom--heteronuclear-diatomic- or -triatomic-molecule conversion. The different adiabatic evolutions in creating the homo- or heteronuclear dimers are compared. The impact of the two different reaction paths on the adiabatic conditions in creating the heteronuclear triatomic molecules is also discussed.
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We investigate the formation of a heteronuclear tetramer A3B{A}_{3}BA3​B by an Efimov-resonance-assisted stimulated Raman adiabatic passage scheme, which is considered a viable means of creating the homonuclear tetramer A4{A}_{4}A4​ [H. Jing and Y. Jiang, Phys. Rev. A 77, 065601 (2008)]. The atom-molecule dark-state solution for the system is derived, and the adiabatic conversion from atoms to heteronuclear tetramers is studied via the concept of adiabatic fidelity. In addition, the effects of external field parameters (including Rabi pulse strength, width, and single photon detuning) on the conversion are discussed.