(Color online) Illustration of 2D spectra in both the inhomogeneous and homogeneous limits. The rephasing (a) and nonrephasing (b) spectra are aligned along the diagonal and antidiagonal axes, respectively. For waiting times shorter than the correlation time, the rephasing signal is much stronger than the nonrephasing signal, causing the 2D surface (c) to be diagonally elongated whereas for waiting times much larger than the correlation time, the rephasing and nonrephasing spectra equalize in intensity leading to a symmetric line shape. The phase (d) of the 2D surface (rephasing plus nonrephasing) reflects this loss of correlation by rotating away from the diagonal to become parallel to the axis.
(Color online) (a) Comparison between the correlation function for case 1 (solid red line) and the corresponding values of (orange circles), (green triangles), (blue squares), (magenta crosses), and (dashed black line) normalized to their zero time value. (b) The same as (a) but for case 2. The inset to (a) replots the data on a log scale to highlight the similarity of the long time decay of these quantities.
(Color online) (a) Comparison between for case 1 (solid red line) and the inversion expressions given by Eqs. (9) (dashed black line), (15) (green triangles), (18) (orange circles), (19) (magenta crosses), and (20) (blue squares). The data were normalized such that their long time tails overlapped. (b) The same as (a) but for case 2.
(Color online) Comparison between for both case 1 (blue circles), case 2 (dashed black line), and an exponential decay of (solid red line). The data were normalized such that their long time tails overlapped.
(Color online) Comparison between for case 2 (solid red line) and the inversion expressions for (a), (b), (c), and (d) for a two-level system (dashed black line), three-level system (green triangles), and three-level system taking into account finite duration pulses (blue circles). The inversion expressions for a two-level system are given by Eqs. (9), (15), (18), and (20) and for a three-level system by (A5), (A10), and (A11). Since the three-level and two-level inversion expressions for the ellipticity are identical, the result from the three-level calculation is not presented.
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