Rydberg RF Sensor 2D: Dressed-State Ladder & AT Susceptibility

This is the 2D companion to the Rydberg-atom RF electric-field sensor, computed independently rather than reprojected from the 3D vapor-cell scene. Instead of a spatial cloud of atoms and laser cylinders, this page solves the four-level continued-fraction optical-Bloch susceptibility that actually governs the probe transmission, then renders it the way atomic physicists draw it: a dressed-state energy-level ladder for |g⟩→|e⟩→|r⟩→|r′⟩, the resulting absorption spectrum with its Autler-Townes doublet, and a complex-susceptibility phasor plot. A numerical peak-finder locates the doublet's separation directly from the solved spectrum and checks it live against the closed-form κ(n)·E prediction used for the field readout, so you can watch the two independent routes to the same number agree in the well-resolved regime and part ways as the field drops toward the sensor's noise floor.