Abstract
This paper introduces novel rotation pulse sequences, defined by an icosahedral symmetry group, providing the most general engineering capabilities of two-body spin-1/2 interaction terms. Compared to conventional rotations, these sequences offer advantages for creating Zeeman terms essential for magnetic sensing, and could be utilized to generate previously unattainable interaction forms.
Highlights
For many decades, rotation pulse sequences have been utilized in nuclear magnetic resonance (NMR) for manipulating spin states through Hamiltonian engineering [1,2]
We use group theory to go beyond previous work, introducing a completely general platform for interaction manipulation, namely, pulse sequences defined by an icosahedral symmetry
By extending spin control to pulses oriented along the angles of an icosahedron, we reveal a 14-pulse sequence consisting of pulses, which is expected to generate a similar Zeeman term with strength greater than
Summary
Rotation pulse sequences have been utilized in nuclear magnetic resonance (NMR) for manipulating spin states through Hamiltonian engineering [1,2]. Manipulating the dipolar interactions within an ensemble of such spins could pave the way toward novel studies of many-body dynamics [14,15,16], the creation of quantum simulators and advanced quantum sensors [17], and generation of nonclassical spin states [16,18]. Recent studies of such Hamiltonian engineering, analyzing the effects of control pulses from the Clifford rotation group, resulted in a scheme of generating certain types of Hamiltonians [17]. Our proposal of two practical experimental approaches for realizing these schemes, and supporting simulations of the resulting spin dynamics, emphasize the applicability of the icosahedral sequences in a variety of quantum systems consisting of spin ensembles
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