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

Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss