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We investigate the non-equilibrium states of an interacting multi-componentquantum system when only an extensive subsystem is quantum-quenched or drivenfrom the ground state. As a concrete example, we consider a system where twoXXZ spin chains are coupled to a transverse field Ising (TFI) chain, and onlythe transverse field in the TFI chain is quantum-quenched or periodicallydriven in time, starting from an initially ordered state. This system isstudied using density matrix renormalization group (DMRG) simulations andvarious entanglement entropy diagnostics. In the case of quantum quenching,when the transverse field is suddenly switched on to become the largest energyscale, the resulting internal dynamics leads to a pre-thermal steady state withpersistent oscillating magnetization (`self-driving') and emergent conservationlaws. Upon applying the time-dependent drive to the TFI chain (`externaldriving'), sufficiently fast drive gives rise to a pre-thermal steady statewith finite magnetization, whereas a slow drive generates a high-temperaturedisordered state. We briefly discuss the experimental implementation of ourprotocol in organic materials with quantum-tunneling hydrogen atoms.

Pre-thermalization via self-driving and external driving of extensive subsystems