Control of memory effects in a spin-boson system by periodic driving

TL;DR

This paper investigates how periodic driving influences quantum memory effects in a spin-boson system, revealing peak behaviors linked to quasienergy degeneracies and proposing methods to control non-Markovianity.

Contribution

It introduces a detailed analysis of non-Markovianity peaks in a driven spin-boson system using Floquet theory and numerical simulations, offering new control strategies.

Findings

Non-Markovianity exhibits peak structures at specific driving amplitudes.

Degeneracies in quasienergy spectrum enhance relaxation times.

Periodic driving can be used to control quantum memory effects.

Abstract

We study the emergence of quantum memory effects in a spin-boson system at finite temperature driven by an external time-periodic force. Quantifying memory effects by the trace-distance based measure for non-Markovianity and performing numerical simulations employing the hierarchical equations of motion approach, we find a pronounced peak structure when plotting the non-Markovianity measure as a function of the driving amplitude. This distinctive feature is interpreted using Floquet theory and the Floquet-Lindblad master equation, associating the peaks with the degeneracies of the quasienergy spectrum which lead to a strong enhancement of the relaxation times of the system. These results suggest strategies for the efficient control of non-Markovianity in open quantum systems by periodic driving.