Controlling the dynamics of open quantum systems with periodic driving field

TL;DR

This paper investigates how periodic driving fields influence the dynamics of open quantum systems, revealing conditions for the preservation or destruction of localized bound states and implications for controlling quantum decoherence.

Contribution

It provides a detailed analysis of the effects of periodic driving on localized bound states in open quantum systems, highlighting differences from static adjustments and deriving conditions for their survival.

Findings

Periodic driving can preserve or destroy localized bound states.

Weak driving allows for conditions to maintain bound states.

Strong driving leads to energy renormalization, destroying bound states.

Abstract

In this paper, we study the exact dynamics of open quantum systems to the case with periodic driving field. It is shown that different from the static adjustment of the system on-site energy that can either generate or destroy the dissipationless localized bound states, the periodic driving can either preserve the existed localized bound states or destroy some of them but cannot generate new localized bound states. With the picture of energy transfer involved with the driving field, we find the condition for the survival of the localized bound states when the driving amplitude is weak. For the strong driving case, the condition breaks down because of the strong energy renormalization to the originally existed localized bound states. These properties of decoherence dynamics may help in controlling the quantum state against decoherence for the sake of its sensitivity to the fundamental frequency of the driving field.