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13. Variation of bn with n for a quench in the chaotic spinwith disorder. Here L = 14, h = 0.4, and the initial state domain wall. chaotic, the SC can capture the necessary features of the corresponding phase in both the cases. V. SUMMARY AND CONCLUSIONS paper, we have performed a detailed analysis of the of the SC after sudden quenches in interacting quan-body systems. We have shown that, for timescales small compared with the inverse of the width of the the SC grows quadratically with time, irrespective of Hamiltonian or the initial state before the quench, The LC bn grows linearly with n (whereas an = 0), with slope of the linear growth being determined by the width the LDOS, and the initial quadratic growth of the SC merges into a linear growth at late times due to the presence of exponential decay of the SP. To understand the behavior of SC at late times, we modeled the quenched interacting system as a FRM in GOE. The LC and the SC are then obtained by finding the Hessenberg form of these RMs. Here, an approximate to 0 and bn can be fitted with a curve of the form bn = n1(N - where the two unknown constants have been determined using the exact analytical expression in Eq. (13) available the literature for the SP after a quench with FRM. Due the presence of the correlation hole in the SP, the SC grows linearly with time, reaches a peak, after which it saturates lower constant value. These features of the SC evolution quench are consistent with the behavior for the same observed in Ref. [44] without such a quench. As the next example, we considered quenches in an