Selective decoupling and Hamiltonian engineering in dipolar spin networks. (arXiv:1710.03987v1 [quant-ph])

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.

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