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Emergent Structures in a Floquet-Driven 2D Rydberg-Coupled Quantum Fluid: Large-Scale Simulation and Open-Source Framework

Cinque McFarlane - Blake

Published Nov 28, 2025• 0 citations
Publisher

Abstract

We investigate a two-dimensional driven--dissipative quantum fluid featuringRydberg-mediated nonlocal interactions, a dynamic nuclear-spin reservoir, anda periodically modulated complex (imaginary-gauge) twist. The model evolves acomplex field $\psi(\mathbf r,t)$ on a $30\times30$ lattice, coupledself-consistently to a Rydberg occupation field $n_{\mathrm{ryd}}$ and aclassical spin vector $\mathbf S$. Spin-dependent metric warping modifies thekinetic operator, and the system is subject to dissipative dephasing andRydberg decay. We introduce an open-source simulation framework and performa large parameter sweep (500 periods per run) that reveals multiple emergentregimes including a high-drift ``corridor'' regime. We provide diagnostics,a compact \emph{Corridor Index} (CI), and scripts to reproduce the figures.

DOI
10.5281/zenodo.17754034

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We investigate a two-dimensional driven--dissipative quantum fluid featuringRydberg-mediated nonlocal interactions, a dynamic nuclear-spin reservoir, anda periodically modulated complex (imaginary-gauge) twist. The model evolves acomplex field ψ(r,t)\psi(\mathbf r,t)ψ(r,t) on a 30×3030\times3030×30 lattice, coupledself-consistently to a Rydberg occupation field nrydn_{\mathrm{ryd}}nryd​ and aclassical spin vector S\mathbf SS. Spin-dependent metric warping modifies thekinetic operator, and the system is subject to dissipative dephasing andRydberg decay. We introduce an open-source simulation framework and performa large parameter sweep (500 periods per run) that reveals multiple emergentregimes including a high-drift ``corridor'' regime. We provide diagnostics,a compact \emph{Corridor Index} (CI), and scripts to reproduce the figures.
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