Driven and Dissipative Dynamics

Follow coherent transitions, dissipative evolution and control protocols. Norm conservation, complete positivity where applicable, and step refinement answer different questions.

Choose an investigation

• Landau–Zener Simulation — A reproducible unitary propagation test of the Landau–Zener probability, finite sweep windows, endpoint bases, and integrator convergence.
• Magnus Expansion Error — A reproducible two-pulse benchmark of Magnus truncation order, unitarity, convergence bounds, stroboscopic error, and Floquet logarithm branches.
• Time-Dependent Two-Level Systems Notebook — A reproducible closed-system notebook for detuned Rabi motion, laboratory-frame and rotating-wave dynamics, pulse-area tests, finite-pulse Ramsey fringes, and numerical error separation.
• Optical Bloch Equation Notebook — A reproducible dissipative two-level-atom notebook for optical Bloch transients, saturation, steady fluorescence, power broadening, linewidth extraction, and numerical physicality checks.
• Cavity QED Simulation Notebook — A reproducible Jaynes–Cummings notebook for dressed doublets, vacuum Rabi exchange, coherent-state collapse and revival, photon-cutoff convergence, and a small Lindblad loss extension.
• Laser Cooling Simulation Notebook — A reproducible Doppler-cooling notebook for force curves, friction, momentum diffusion, the Doppler temperature, intensity tradeoffs, relaxation, and rubidium scales.

Interpret the evidence

The Labs catalog distinguishes downloadable pilot packages from other existing script-backed investigations. Each investigation states its own assumptions and retained checks. Follow Running an Experiment for the shared execution workflow and the Reproducibility Checklist for evidence and error budgets.

References

• National Academies of Sciences, Engineering, and Medicine, Reproducibility and Replicability in Science, National Academies Press, 2019, doi:10.17226/25303 — interpreting reproducibility and independent scientific evidence.