Dissipation-Selected Resonant Fronts in a Driven-Dissipative Bose-Hubbard Lattice

Spatially structured dissipation can organize driven quantum matter beyond purely Hamiltonian control. We show that a dissipation gradient, combined with a Stark-induced detuning ramp, selects a nonlinear resonance slice in a two-dimensional driven-dissipative Bose-Hubbard lattice and produces a pinned density front in generalized Gross-Pitaevskii simulations. The resonance condition fixes the front position, while its Airy-like profile follows a width scaling set by tunneling stiffness and the effective detuning slope. Treating the front as an emergent interface explains depinning steps, transverse pattern locking, spatiotemporal chaos, and minimum-loss localization as the selected resonance is tuned across the lattice. These results suggest structured dissipation as a route toward reconfigurable transport barriers and nonequilibrium interfaces in programmable bosonic lattices.