Fig. 3: Strong boundary clustering \({\bar{P}}_{11}\) from interaction-induced caging, for initial state (2,2) within a x0 = 3 cage for a 5 unit cell chain.
From: Non-Hermitian strong bosonic clustering through interaction-induced caging
Snapshots of the time-smoothed (Δt = 2) two-boson correlation probability \({\bar{P}}_{11}\) [Eq. (6)] for (a1) non-interacting and (a2) interacting cases. The L-shaped cage in (a2) traps the bosons tightly. (b1) Evolution of probability of both bosons at the left boundary, with greatly enhanced \({\bar{P}}_{11}(t)\) only for the non-Hermitian interacting case (red). (b2) When only one boson is present, the boundary density \({\bar{\rho }}_{1}(t)\) remains low regardless of whether a U barrier is present, showcasing that the caging mechanism is an interaction effect (See Supplementary Video 1).
