Charge Qubit Coherence in a Double Quantum Dot (2D)

This 2D companion strips the double-dot charge qubit down to the actual quantum mechanics: rather than plotting a closed-form sin² formula, it numerically time-integrates the two-level time-dependent Schrodinger equation with 4th-order Runge–Kutta, propagating a genuine complex probability amplitude between the left and right dot at every animation frame. A dozen parallel trajectories, each driven by its own ensemble of sixteen random-telegraph charge fluctuators feeding real detuning noise straight into the Hamiltonian, are averaged live to show the same physics the 3D scene renders — coherent Rabi oscillation between the dots, decaying at a rate set by charge noise and vanishing at the ε = 0 sweet spot — but as a directly computed trace rather than an animated 3D landscape.