Abstract
We exactly solve the two-body and three-body problems in the mixture of alkaline-earth-metal(like) (AE) and alkali-metal atomic gases in the presence of three-dimensional isotropic spin-orbit (SO) coupling. The SO coupling is implemented by the Raman scheme that couples the ground state of the AE atom with different nuclear spin. The interaction between AE and alkali-metal atoms is tuned to be near resonant by Feshbach resonance, while the interaction between the two AE atoms is negligible. We present the Skorniakov--Ter-Martirosian (STM) equation for the three-body system composed of two SO coupled AE atoms and one alkali-metal atom. By solving the STM equation in the zero angular momentum sector, we obtain the energy spectrum and find a nonuniversal Efimov trimer and a universal Kartavtsev-Malykh (KM) trimer in different parameter windows of the mass ratio. In the region where the KM trimer is present, strong SO coupling can stabilize the KM trimer to be the ground state, such that experimental realization and observation can be expected.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call