Driven--dissipative quantum fluids in two dimensions typically decohere rapidly. We report a new dynamical regime in which a Floquet-driven 2D quantum fluid with weak Rydberg-dressing feedback self-organizes into long-lived directional \emph{transport corridors}. These channels form in a sharply bounded region of nonlocality, warp coupling, and Floquet twist. Corridor states exhibit coherence dip--recovery, spectral sharpening, persistent drift, and global Rydberg participation. We map the model to implementable neutral-atom tweezer experiments and propose a routing protocol for experimental verification. We further derive a continuum-limit description and a minimal reduced model capturing the essential attractor structure. These results identify a new class of nonlinear coherent transport modes in driven quantum matter.
Driven--dissipative quantum fluids in two dimensions typically decohere rapidly. We report a new dynamical regime in which a Floquet-driven 2D quantum fluid with weak Rydberg-dressing feedback self-organizes into long-lived directional \emph{transport corridors}. These channels form in a sharply bounded region of nonlocality, warp coupling, and Floquet twist. Corridor states exhibit coherence dip--recovery, spectral sharpening, persistent drift, and global Rydberg participation. We map the model to implementable neutral-atom tweezer experiments and propose a routing protocol for experimental verification. We further derive a continuum-limit description and a minimal reduced model capturing the essential attractor structure. These results identify a new class of nonlinear coherent transport modes in driven quantum matter.
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) on a 30×30 lattice, coupledself-consistently to a Rydberg occupation field nryd and aclassical spin vector 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.
We simulate periodically driven Rydberg arrays with purely imaginary-phase driving, showing that it reshapes both internal dynamics and the structure of coupled vacuum fluctuations. In a driven Rydberg array, this interplay produces\emph{hybrid vacuum--photonic quasienergy channels}---coherent,directional modes arising from Floquet-induced modulation of theelectromagnetic local density of states (LDOS). These channels enable a coherent mapping of correlation structure far beyond the nominal dipolar range andexhibit stability characteristic of attractor-like Floquet fixed points. Using a microscopic Hamiltonian with spatiotemporally structureddipole--vacuum coupling, we derive a Floquet--Magnus expression for theeffective LDOS:ρeff(ω)=∑mJm2(A)ρ0(ω+mΩ),revealing how the drive imprints anisotropic vacuum structure.Large-scale open-system simulations confirm that this LDOS reshapingproduces long-lived, quasienergy-resolved photonic corridors, alongwhich correlation fronts propagate with direction-dependent velocities. We further show that the system's long-time behavior is well describedby an \emph{effective geometric picture}: anisotropic correlationfronts define a synthetic light cone, LDOS-induced anisotropies definean emergent spatial metric, and wavepacket bundle separation obeys ageodesic-deviation-like equation whose curvature is determined directlyfrom simulated trajectories over thousands of drive periods. We conclude with a speculative perspective: if driven matter can imprintstable geometric structure onto the vacuum LDOS, then controlled analogspacetime engineering---without material waveguides or externalphotonic scaffolds---may be achievable.
We numerically investigate the nonlinear dynamics of a two-dimensional exciton-polariton quantum fluid coherently driven by two counter-propagating laser beams. Using an exciton-photon coupled driven-dissipative Gross-Pitaevskii framework, we identify four distinct regimes-linear, solitonic, turbulent, and superfluid-emerging from the interplay between pump strength, laser detuning, and injected momentum, which together control the balance between kinetic and interaction energies in the quantum fluid. The different regimes are characterized through real-space and momentum-space observables, as well as through the temporal first-order coherence function. We show that turbulence occupies a well-defined and extended region of parameter space, marked by spontaneous vortex nucleation, and a pronounced reduction of temporal coherence, providing a clear signature of nonstationary dynamics. By constructing quantitative phase diagrams, we delineate the transitions between the various regimes and identify multiple pathways connecting solitonic, turbulent, and superfluid behaviors. Finally, we demonstrate that the turbulent regime persists over experimentally realistic parameter ranges compatible with state-of-the-art GaAs-based micro-cavity platforms, establishing counter-propagating polariton flows as a robust and versatile setting for the study of driven-dissipative quantum turbulence in two dimensions.
Large-scale mean-field simulations of a 30×30 Rydberg-dressed atom array under a \textbf{single global drive with dynamically modulated spiral phase} reveal autonomous self-organization into an extremely rigid Floquet cat state. The drive phase pattern θ(r,ϕ,t) contains a weak base spiral (θmax=π/512) plus quasi-periodic angular frequency modulation ωang(t) with incommensurate components at 2π/P1 and 4π/P2. Global phase coherence rises from 0.37 to >0.999 within $\sim$600 periods, survives a large transient excursion near period 1700, and then locks above 0.999 for the final 4507+ cycles (total simulation: 5000 periods). The final coherence distribution (period >1000) has mean 0.99560 and σ=8.07×10−3. The attractor consists of two degenerate periodic orbits separated by a global π phase shift, defining a logical cat qubit. A single global π-pulse implements logical-X with fidelity >0.9999 in the locked regime. No individual addressing, feedback electronics, or mid-circuit measurement is used — the self-tuning emerges purely from many-body Floquet dynamics.
Periodically driven quantum systems are commonly modeled using master equations constructed in the eigenbasis of an undriven Hamiltonian, implicitly assuming that environmental dissipation couples to static energy transitions even under strong time-periodic driving. The validity of this approximation beyond weak or near-resonant driving remains poorly understood. To address the need for a more self-consistent quantum theory approach, we formulate a nonsecular Floquet--Markov generalized master equation (F-GME) in the quasienergy basis, treating interaction-induced (internal) and drive-induced (external) nonperturbative dressing on an equal footing. We subsequently investigate dissipation in two minimal driven open quantum systems---a harmonically driven two-level system and a harmonically driven coupled-two-level-system---each weakly coupled to a Markovian bath. Comparing the F-GME to a time-independent dressed-basis master equation, we show that even for a flat-bath spectral density and weak dissipation, the two approaches can yield qualitatively different steady-state populations and emission spectra. We resolve dissipation into drive-assisted sideband processes decaying via Floquet extended-space quasienergy channels, and show these channels can hybridize through nonsecular couplings into collective Floquet--Liouville modes governing observable spectral resonances. This analysis demonstrates that time-independent dissipative descriptions can incorrectly weight multiphoton Floquet transitions by collapsing quasienergy-resolved decay pathways into static energy gaps. The F-GME framework provides a systematic diagnostic for identifying regimes where Floquet-consistent dissipation is essential and clarifies the physical origin of discrepancies between commonly used master-equation approaches.
Floquet engineering offers powerful tools to manipulate quantum states by periodically driving physical parameters. In this work, we investigate the quantum transport through two periodically driven impurities in a mesoscopic one-dimensional channel. By mapping the time-dependent Hamiltonian into an effective multichannel scattering problem, we unveil a rich landscape of transport phenomena arising from the interplay between Fabry-Perot cavity modes and Fano interference. We demonstrate that the inter-impurity distance acts as a critical control parameter, allowing for the formation of Bound States in the Continuum (BICs). Furthermore, we identify Quasi-BICs, extremely narrow resonances with finite lifetimes, that can be dynamically tuned by the drive amplitude. We show that these states enable a robust coherent trapping mechanism, allowing the system to switch from perfect transparency or reflection to strong localization with giant Wigner time delays. Our results suggest possible applications for tunable delay lines and quantum memories, with feasible experimental realizations in the context of cold atoms.