Hamiltonian engineering of general two-body spin-1/2 interactions

Abstract

Spin Hamiltonian engineering in solid-state systems plays a key role in a variety of applications ranging from quantum information processing and quantum simulations to novel studies of many-body physics. By analyzing the irreducible form of a general two-body spin-1/2 Hamiltonian, we identify all interchangeable interaction terms using rotation pulses. Based on this identification, we derive novel pulse sequences, defined by an icosahedral symmetry group, providing the most general achievable manipulation of interaction terms. We demonstrate that, compared to conventional Clifford rotations, these sequences offer advantages for creating Zeeman terms essential for magnetic sensing, and could be utilized to generate new interaction forms. The exact series of pulses required to generate desired interaction terms can be determined from a linear programming algorithm. For realizing the sequences, we propose two experimental approaches, involving pulse product de-composition, and off-resonant driving. Resulting engineered Hamiltonians could contribute to the understanding of many-body physics, and result in the creation of novel quantum simulators and the generation of highly-entangled states, thereby opening avenues in quantum sensing and information processing.

References in corpus (13)

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• High-sensitivity diamond magnetometer with nanoscale resolution
• Sensing electric fields using single diamond spins
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• Depolarization dynamics in a strongly interacting solid-state spin ensemble
• Miniature cavity-enhanced diamond magnetometer
• Quantum correlation in disordered spin systems: entanglement and applications to magnetic sensing
• Dynamical engineering of interactions in qudit ensembles
• Hamiltonian Engineering with Constrained Optimization for Quantum Sensing and Control
• Spin ensemble-based AC magnetometry using concatenated dynamical decoupling at low temperatures
• Identifying and decoupling many-body interactions in spin ensembles in diamond

Cited by in corpus (7)

• Quantum Metrology with Strongly Interacting Spin Systems
• Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
• Coherent dynamics of strongly interacting electronic spin defects in hexagonal boron nitride
• Dynamical decoupling of spin ensembles with strong anisotropic interactions
• Heisenberg-limited spin squeezing in coupled spin systems
• Magnetic Field Detection Using a Two-Qubit System Under Noisy Heisenberg Interaction
• Cyclicity of interaction frame transformations