  Non-Hermiticity greatly expands existing physical laws beyond the Hermitian
framework, revealing various novel phenomena with unique properties. Up to now,
most exotic nonHermitian effects, such as exceptional points and non-Hermitian
skin effects, are discovered in single-particle systems. The interplay between
non-Hermitian and manybody correlation is expected to be a more fascinating but
much less explored area. Due to the complexity of the problem, current
researches in this field mainly stay at the theoretical level. The experimental
observation of predicted non-Hermitian manybody phases is still a great
challenging. Here, we report the first experimental simulation of strongly
correlated non-Hermitian many-body system, and reveal a new type of
nonHermitian many-body skin states toward effective boundaries in Hilbert
space. Such an interaction-induced non-Hermitian many-body skin effect
represents the aggregation of bosonic clusters with non-identical occupations
in the periodic lattice. In particular, by mapping eigen-states of three
correlated bosons to modes of the designed threedimensional electric circuit,
non-Hermitian many-body skin effects in Hilbert space is verified by measuring
the spatial impedance response. Our finding not only discloses a new physical
effect in the non-Hermitian many-body system, but also suggests a flexible
platform to further investigate other non-Hermitian correlated phases in
experiments.
