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The time-dependent numerical renormalization-group approach (TD-NRG),originally devised for tracking the real-time dynamics of quantum-impuritysystems following a single quantum quench, is extended to multiple switchingevents. This generalization of the TD-NRG encompasses the possibility ofperiodic switching, allowing for coherent control of strongly correlatedsystems by an external time-dependent field. To this end, we have embedded theTD-NRG in a hybrid framework that combines the outstanding capabilities of thenumerical renormalization group to systematically construct the effectivelow-energy Hamiltonian of the system with the prowess of complementaryapproaches for calculating the real-time dynamics derived from thisHamiltonian. We demonstrate the power of our approach by hybridizing the TD-NRGwith the Chebyshev expansion technique in order to investigate periodicswitching in the interacting resonant-level model. Although the interactingmodel shares the same low-energy fixed point as its noninteracting counterpart,we surprisingly find the gradual emergence of damped oscillations as theinteraction strength is increased. Focusing on a single quantum quench andusing a strong-coupling analysis, we reveal the origin of theseinteraction-induced oscillations and provide an analytical estimate for theirfrequency. The latter agrees well with the numerical results.

Coherent control of correlated nanodevices: A hybrid time-dependent numerical renormalization-group approach to periodic switching