  We study a Bose-Einstein condensate of ultracold atoms subject to a
non-Hermitian spin-orbit coupling, where the system acquires non-Hermitian skin
effect under the interplay of spin-orbit coupling and laser-induced atom loss.
The presence of the non-Hermitian skin effect is confirmed through its key
signatures in term of the spectral winding under the periodic boundary
condition, the accumulation of eigen wavefunctions at boundaries under an open
boundary condition, as well as bulk dynamics signaled by a directional flow. We
show that the bulk dynamics in particular serves as a convenient signal for
experimental detection. The impact of interaction and trapping potentials are
also discussed based on non-Hermitian Gross-Pitaevskii equations. Our work
demonstrates that the non-Hermitian skin effect and its rich implications in
topology, dynamics and beyond are well within reach of current cold-atom
experiments.
