Figure 1

Average modified final decoherence rate $R(T)$, normalized with respect to the unmodulated rate, as a function of energy-constraint. DD: dashed magenta line. Optimal modulation: solid blue line. Insets: Optimal modulation $\Omega (t)$ for different energy constraints. (a) Single-peak resonant dephasing spectrum (inset: $E=20$). (b) Single-peak off-resonant spectrum (inset: $E=50$). (c) $1/f$ spectrum (inset: $E=30$). (d) Multipeaked spectrum (inset: $E=30$). (a), (c), and (d) compare DD and the optimal modulation obtained via Eq. (12), while (b) compares DD to the locally optimal modulation obtained via Eq. (13) with the DD modulation as initial guess.Reuse & Permissions

Figure 2

Dephasing spectrum $G(\omega )$ (solid red line), optimal (dot-dashed green line), and DD (dashed magenta line) modulation spectra $F_T(\omega )$, in arbitrary units (a.u.). Same parameters as in the insets of Fig. 1.Reuse & Permissions