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

• URL: http://arxiv.org/abs/2605.21900v1
• Date: Thu, 21 May 2026 02:19:34 GMT
• Title: Dissipation-Selected Resonant Fronts in a Driven-Dissipative Bose-Hubbard Lattice
• Abstract summary: spatially structured dissipation organizes driven quantum matter beyond Hamiltonian control.<n>We show that a dissipation combined with a Stark-induced detuning ramp selects a nonlinear resonance slice in a two-dimensional driven Bose-Hubbard lattice.
• Score: 11.062487742236577
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• 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.

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