# colored_noise_simulation¶

Classes

 AverageSample The trajectory-averaged dynamics in a colored noise simulation corresponding to a single sample time. Drift Either a static or a noisy Hamiltonian term for the colored noise simulation calculation. Drive A (possibly noisy) complex control term for the colored noise simulation calculation of the form $$\left(1 + \beta_{\gamma_{j}}(t) \right) \left(\gamma_{j}(t) C_{j} + \text{H.c.} \right)$$, where $$C_{j}$$ is a non-Hermitian operator, $$\gamma_{j}(t)$$ is a complex-valued piecewise-constant function between 0 and $$\tau$$, and $$\beta_{\gamma_{j}}(t)$$ is the amplitude of its noise. Noise The noise amplitude $$\beta(t)$$ associated to a Hamiltonian term. NoiseRealization A single random realization of a noise amplitude $$\beta_{\mu}(t)$$ as a piecewise-constant function between 0 and $$\tau$$. NoiseRealizationSegment A segment of a noise realization as a piecewise-constant function of time. Result The result of the colored noise simulation. ResultScope Configuration for the scope of the returned data. Sample A result of a colored noise simulation realization corresponding to a single sample time. Shift A (possibly noisy) real control term for the colored noise simulation calculation of the form $$\left(1 + \beta_{\alpha_{k}}(t) \right) \alpha_{k}(t) A_{k}$$, where $$A_{k}$$ is a Hermitian operator, $$\alpha_{k}(t)$$ is a real-valued piecewise-constant function between 0 and $$\tau$$, and $$\beta_{\alpha_{k}}(t)$$ is the amplitude of its noise. Trajectory A single trajectory of a colored noise simulation, corresponding to a realization of all noise processes.