Effective Field Theory for the Heteronuclear Efimov Effect

Bijaya Acharya, Chen Ji, Lucas Platter

Juris Ulmanis

Paulo F. Bedaque

Semjon A. Vugalter

Bijaya Acharya, Chen Ji, Lucas Platter

We use an effective-field-theory framework to analyze the Efimov effect in heteronuclear three-body systems consisting of two species of atoms with a large interspecies scattering length. In the leading-order description of this theory, various three-body observables in heteronuclear mixtures can be universally parametrized by one three-body parameter. We present the next-to-leading corrections, which include the effects of the finite interspecies effective range and the finite intraspecies scattering length, to various three-body observables. We show that only one additional three-body parameter is required to render the theory predictive at this order. By including the effective range and intraspecies scattering length corrections, we derive a set of universal relations that connect the different Efimov features near the interspecies Feshbach resonance. Furthermore, we show that these relations can be interpreted in terms of the running of the three-body counterterms that naturally emerge from proper renormalization. Finally, we make predictions for recombination observables of a number of atomic systems that are of experimental interest.

Li Guan-Qiang, Peng Ping, Cao Zhen-Zhou +1 more

We present a theoretical scheme for conversion from ultracold atoms to heteronuclear tetrameric molecule A3B via Efimov resonace-assisted stimulated Raman adiabatic passage (ER-STIRAP). The dark state solutions of the system are obtianed for two different pathways. For the first pathway, the intermediate state is populated by homonuclear Efimov trimer A3, and the second one by heteronuclear Efimov trimer A2B. The feasibility and the effectiveness of the scheme are also verified. Meanwhile, we investigate the effects of external field parameters, including the intensity of associated laser pulses, its width, magnetic coupling strength and its detuning, on the fomation of heteronuclear tetrameric molecules. By comparison, it is found that the ultimate yield of the tetrameric molecules for the second pathway is less than ones for the first pathway. In addition, the effects of the intrinsic nolinearity of the system and the spontaneous decay in the intermediate state on the tetramer formation are discussed.