Geometric Phase–Driven Transport in Non-Hermitian Floquet Lattices Near Exceptional Points

This work presents a comprehensive study of geometric transport in non-Hermitian Floquet lattices. We derive the non-Hermitian Berry curvature using the biorthogonal formalism and prove an exact algebraic no-go theorem: perfectly anti-correlated driving (φ=0) yields zero net displacement for any wavepacket. When driving symmetry is broken (φ=π/2), a Gaussian wavepacket acquires finite directional displacement per cycle. Using adaptive peak-centered quadrature with analytic derivatives and direct time-dependent wavepacket simulations on finite chains, we demonstrate transport enhancement near the exceptional-point manifold, accompanied by non-monotonic behavior due to moving curvature hotspots. The paper includes full analytical characterization of the EP manifold topology, explicit convergence tests, finite-size scaling, and clear separation between geometric pumping and non-Hermitian skin effect. All Python scripts, raw outputs, and high-resolution figures are provided for full reproducibility.