Non-perturbative Dynamical Decoupling Control: A Spin Chain Model

TL;DR

This paper investigates a non-perturbative dynamical decoupling method using a spin chain model, revealing universal features, flexible control parameters, and robustness against noise, with potential for experimental implementation.

Contribution

It introduces a non-perturbative dynamical decoupling scheme with a broad parameter region, contrasting perturbative methods, and demonstrates its robustness and experimental feasibility.

Findings

Universal features of non-perturbative control identified

Large parameter regions enable effective control

Scheme is robust against noise and fabrication randomness

Abstract

This paper considers a spin chain model by numerically solving the exact model to explore the non-perturbative dynamical decoupling regime, where an important issue arises recently (J. Jing, L.-A. Wu, J. Q. You and T. Yu, arXiv:1202.5056.). Our study has revealed a few universal features of non-perturbative dynamical control irrespective of the types of environments and system-environment couplings. We have shown that, for the spin chain model, there is a threshold and a large pulse parameter region where the effective dynamical control can be implemented, in contrast to the perturbative decoupling schemes where the permissible parameters are represented by a point or converge to a very small subset in the large parameter region admitted by our non-perturbative approach. An important implication of the non-perturbative approach is its flexibility in implementing the dynamical control scheme in a experimental setup. Our findings have exhibited several interesting features of the non-perturbative regimes such as the chain-size independence, pulse strength upper-bound, noncontinuous valid parameter regions, etc. Furthermore, we find that our non-perturbative scheme is robust against randomness in model fabrication and time-dependent random noise.