Concept 23 of 42 · Circuit QED and Decoherence

Dephasing T2 and Ramsey fringes

Phase coherence decays from relaxation and frequency fluctuations.

01 / Mathematical framework
$$\frac1{T_2}=\frac1{2T_1}+\frac1{T_\varphi}$$

Physical intuition

Phase coherence decays from relaxation and frequency fluctuations. This is the starting point for understanding how superconducting circuit parameters determine quantum energy levels and dynamics.

Deep dive: how the mechanism works

A Ramsey sequence maps accumulated phase to population, revealing detuning and low-frequency noise.

How the quantum phenomenon appears

Flux-sensitive qubits show shortened Ramsey coherence away from sweet spots. To establish the predicted quantum behavior, connect the circuit Hamiltonian to a measured transition, coherence experiment, gate benchmark or calibrated readout signal.

Assumptions and limitations

The relation assumes simple exponential Markovian dephasing.

Research and simulation exercise

Identify the tunable parameters, predict the observable from the stated model, and sweep one parameter while holding the others fixed. Compare against a simpler reference model, quantify loss and uncertainty, and state which observations would falsify the hypothesis.

Connect the ideas

See the chapter guide and further reading.

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