Dynamical decoupling assisted acceleration of two-spin evolution in XY spin-chain environment

• We propose a scheme to accelerate the dynamical evolution of central spins in an open system.
• The quantum speed limit of central spins can be modulated by changing pulse frequency.
• The random pulses can play the same role as the regular pulses do for small perturbation.

We study the speed-up role of dynamical decoupling in an open system, which is modeled as two central spins coupled to their own XY spin-chain environment. We show that the fast bang–bang pulses can suppress the system evolution, which manifests the quantum Zeno effect. In contrast, with the increasing of the pulse interval time, the bang–bang pulses can enhance the decay of the quantum speed limit time and induce the speed-up process, which displays the quantum anti-Zeno effect. In addition, we show that the random pulses can also induce the speed-up of quantum evolution.