  Despite recent intensive research on topological aspects of open quantum
systems, effects of strong interactions have not been sufficiently explored. In
this paper, we demonstrate that complex-valued interactions induce the
Liouvillian skin effect by analyzing a one-dimensional correlated model with
two-body loss. We show that, in the presence of complex-valued interactions,
eigenmodes and eigenvalues of the Liouvillian strongly depend on boundary
conditions. Specifically, we find that complex-valued interactions induce
localization of eigenmodes of the Liouvillian around the right edge under open
boundary conditions. To characterize the Liouvllian skin effect, we define the
topological invariant by using the Liouvillian superoperator. Then, we
numerically confirm that the topological invariant captures the Liouvillian
skin effect. Furthermore, the presence of the localization of eigenmodes
results in the unique dynamics observed only under open boundary conditions:
particle accumulation at the right edge in transient dynamics. Our result paves
the way to realize topological phenomena in open quantum systems induced by
strong interactions.
