Selective decoupling and Hamiltonian engineering in dipolar spin networks

TL;DR

This paper introduces a protocol for selective decoupling and Hamiltonian engineering in dipolar spin networks using magic angle spinning and combined global-local control, enabling advanced quantum simulation applications.

Contribution

It develops a versatile Hamiltonian engineering protocol utilizing magic angle spinning and combined control methods for dipolar spin networks.

Findings

Effective Hamiltonian can be intuitively understood geometrically.

Numerical simulations confirm protocol validity in few-body systems.

Applicable to quantum simulators in diamond and polar molecule networks.

Abstract

We present a protocol to selectively decouple, recouple, and engineer effective couplings in mesoscopic dipolar spin networks. In particular, we develop a versatile protocol that relies upon magic angle spinning to perform Hamiltonian engineering. By using global control fields in conjunction with a local actuator, such as a diamond Nitrogen Vacancy center located in the vicinity of a nuclear spin network, both global and local control over the effective couplings can be achieved. We show that the resulting effective Hamiltonian can be well understood within a simple, intuitive geometric picture, and corroborate its validity by performing exact numerical simulations in few-body systems. Applications of our method are in the emerging fields of two-dimensional room temperature quantum simulators in diamond platforms, as well as in dipolar coupled polar molecule networks.