Selective decoupling and Hamiltonian engineering in dipolar spin 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.

5 Pages + Appendix

References in corpus (7)

• Many body localization and thermalization in quantum statistical mechanics
• Detection and control of individual nuclear spins using a weakly coupled electron spin
• Bang-bang control of fullerene qubits using ultra-fast phase gates
• Coherent manipulation of a molecular Ln-based nuclear qudit coupled to an electron qubit
• Switched Control of Electron Nuclear Spin Systems
• Dynamical engineering of interactions in qudit ensembles
• Evolution-free Hamiltonian parameter estimation through Zeeman markers

Cited by in corpus (9)

• Hyperpolarized relaxometry based nuclear T1 noise spectroscopy in hybrid diamond quantum registers
• High-Field Magnetometry with Hyperpolarized Nuclear Spins
• Hamiltonian Engineering with Constrained Optimization for Quantum Sensing and Control
• Electron-to-nuclear spectral mapping via "Galton board" dynamic nuclear polarization
• Realizing highly entangled states in asymmetrically coupled three NV centers at room temperature
• Wavelet-resolved coherence beats in the Overhauser field of a thermal nuclear spin ensemble
• Engineering Precise and Robust Effective Hamiltonians
• Accurate simulation and thermal tuning by temperature-adaptive boundary interactions on quantum many-body systems
• Robust Dynamical Decoupling for the Manipulation of a Spin Network via a Single Spin