The bosonic skin effect: boundary condensation in asymmetric transport

We study the incoherent transport of bosons through a one dimensional lattice with different left and right hopping rates, modelled by the asymmetric simple inclusion process (ASIP). In this unusual transport scenario, the density profile acquires a zigzag pattern near the boundary, with particle distribution alternating between thermal and Bose-condensed distributions. Furthermore, we show that the onset of this phase is closely related to the non-Hermitian skin effect and coincides with an exceptional point in the spectrum of density fluctuations.