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The quantum dynamics of isolated systems under quench condition exhibits avariety of interesting features depending on the integrable/chaotic nature ofsystem. We study the exact dynamics of trivially integrable system of harmonicchains under a multiple quench protocol. Out of time ordered correlator of twoHermitian operators at large time displays scrambling in the thermodynamiclimit. In this limit, the entanglement entropy and the central component ofmomentum distribution both saturate to a steady state value. We also show thatreduced density matrix assumes the diagonal form long after multiple quenchesfor large system size. These exact results involving infinite dimensionalHilbert space are indicative of local thermal behaviour for a triviallyintegrable harmonic chain.

Exact relaxation dynamics and quantum information scrambling in multiply quenched harmonic chains