Extended Data Fig. 10: Robustness of DTC phases to initial spin states.
From: Quantum thermalization and Floquet engineering in a spin ensemble with a clock transition
a, Floquet control pulse sequence for probing DTC phases with different initial spin orientations, controlled by the first pulse with a variable rotation angle ϕ; otherwise, the sequence is the same as in Fig. 5a of the main text. b-f, DTC phase diagrams for different initial rotation angles ranging from ϕ = 0 to ϕ = π/2. See the main text for details on the phase diagram reconstruction. g, Phase boundaries for d-f where the initial spin orientations are close to the y-axis. The phase boundaries for each interaction time τ are determined by identifying a threshold in the value of ϵ where the subharmonic peak intensity at frequency ν = 0.5, ∣S(ν = 0.5)∣2, falls below 0.4, that is, ∣S(ν = 0.5)∣2 < 0.4. We note a lateral 1% offset in the swept angle ϵ at the center position of the DTC phase diagram, that is, ϵ/π ≈ 0.01, attributed to an experimental calibration error of the rotation pulse.
