Figure 4

Experimental results (dots) for a 2-time correlation function of the ¹H nuclei evolving under a time-dependent Hamiltonian. For this experiment, the ¹H nuclei have a natural Hamiltonian \({ {\mathcal H} }_{0}=0\) and an initial state \(|{\varphi }\rangle ={R}_{x}(\pi \mathrm{/2)|0}\rangle \). An evolution \(U(t\mathrm{;0)}\) between \({U}_{x}^{0}\) and \({U}_{x}^{1}\) is applied on the system, which is described by the evolution operator \({e}^{-i{\int }_{0}^{t} {\mathcal H} ^{\prime} (s)ds}\) with \( {\mathcal H} ^{\prime} (s\mathrm{)=500}{e}^{-300s}\pi {\sigma }_{y}\). \(t\) is changed from \(0.48\) ms to \(5.76\) ms with a \(0.48\) ms increment per step.