2. Example Application

This directory contains static examples that can also be run interactively from Doc/source/examples using jupyter notebook.

• 2.1. Rabi Driving
  • 2.1.1. Transformation into the Rotating Frame
  • 2.1.2. Rotating Wave Approximation
  • 2.1.3. Transformation of Operators
    • 2.1.3.1. False Friend in Transformation
    • 2.1.3.2. Transforming Propagators
  • 2.1.4. Discrete Rabi Driving
• 2.2. Decoherence
  • 2.2.1. \(T_1\) Depolarization
• 2.3. \(T_2^\ast\) Dephasing
  • 2.3.1. Noise on the Rabi Frequency
  • 2.3.2. Noise on the Resonance Frequency
  • 2.3.3. Combination of Noise Sources
• 2.4. \(T_2\) Dephasing with Markovian Noise
  • 2.4.1. Noise on Rabi Frequency
  • 2.4.2. Noise on Resonace Frequency
• 2.5. \(T_2\) Dephasing with Non-Markovian Noise
  • 2.5.1. Free Induction Decay (FID)
  • 2.5.2. Spin-Echo
• 2.6. Consistency Test
• 2.7. Phase Noise with Filter Functions
  • 2.7.1. Coherent Dynamics
  • 2.7.2. Noisy Dynamics