Dissipation-Selected Resonant Fronts in a Driven-Dissipative Bose-Hubbard Lattice
Abstract
Spatially structured dissipation organizes driven quantum matter beyond 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, producing a pinned density front in generalized Gross-Pitaevskii simulations. The underlying resonance condition fixes the front position, while its Airy-like profile obeys a width scaling set by tunneling stiffness and the effective detuning slope. Treating the front as an emergent interface explains how tuning the selected resonance toward the minimum-loss side yields Peierls-Nabarro depinning steps, discrete transverse pattern locking, spatiotemporal chaos, and minimum-loss localization. Center-of-mass and generalized-imbalance diagnostics map these outcomes into a dynamical phase diagram as detuning-ramp slope and dissipation-gradient strength vary. The results suggest structured dissipation as a mechanism for reconfigurable transport barriers and nonequilibrium interfaces in programmable bosonic lattices.
Keywords
Cite
@article{arxiv.2605.21900,
title = {Dissipation-Selected Resonant Fronts in a Driven-Dissipative Bose-Hubbard Lattice},
author = {Wei-Guo Ma and Heng Fan},
journal= {arXiv preprint arXiv:2605.21900},
year = {2026}
}