Concept 26 of 42 · Noise, Decoherence and Control

Open-system master equations

Realistic sensors exchange information and energy with environments.

01 / Mathematical framework
$$\dot\rho=-\frac{i}{\hbar}[H,\rho]+\sum_j\mathcal D[L_j]\rho$$

Physical intuition

Realistic sensors exchange information and energy with environments.

Deep dive: physical mechanism

Lindblad jump operators model relaxation, dephasing and measurement-induced dynamics in a Markovian approximation.

What is measured experimentally?

Compute outcome probabilities and coherence over time.

Assumptions, noise and limitations

Non-Markovian baths require more elaborate descriptions.

Research and simulation exercise

Compare Ramsey sensitivity with and without Lindblad dephasing.

Connect the ideas

Explore the chapter overview, learning path, and references.

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