A few examples of numerical solutions for (real part only) showing how to relate the structure to the one at . We, respectively, get 2, 3, and 5 divergent rapidities.
First column of the quench matrix (ground-state overlaps) for several quenches. In all plots and the ground state energies (represented by vertical lines) have been shifted for clarity. Top: Decomposition of the ground state with states at . Center: Decomposition of several initial ground state in terms of the states at . Bottom: Decomposition of the ground state in terms of states (from Ref. 6).
Pictorial representation of the “single block states” obtained by promoting contiguous blocks of rapidities from right below to right above the FL.
Total contribution of these states to the amplitude of the initial state at , as a function of interaction (from Ref. 6).
Pictorial representation of the single excitations for a given block state. One should understand that the same process is applied to every one of the block states (see Fig. 3)
Pictorial representation of the doubly excited states which are kept for a given block state. The same process is applied to every one of the block states (see Fig. 3). Moreover, one should remember the inclusion of states featuring one excitation above and one below the FL (not represented here but discussed in the text).
Bottom left: Off-diagonal order parameter evolution for , . Right: Fourier transform, the various plots are shifted on the vertical axis for clarity. Top left: Nonequilibrium finite-size “phase diagram” resulting from the time-averaged canonical gap obtained from the off-diagonal order parameter, as explained in the text (from Ref. 6).
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