Tunable chiral spin–spin interactions in a spin-mechanical hybrid system: application to causal-effect simulation

Abstract

Long-range chiral interactions are very attractive due to their potential applications in quantum simulation and quantum information processing. Here we propose and analyze a novel spin-mechanical hybrid quantum device for designing and engineering chiral spin–spin interactions by integrating spin qubits into a programmable mechanical chain. After mapping the Hamiltonian of the mechanical lattice to the Su–Schrieffer–Heeger model, we find that chiral spin–phonon bound states and spin–spin coupling interactions can be achieved. Specifically, the range and strength of chiral spin–spin couplings can be tuned in situ by the on-chip manipulation voltages. We further employ this setup to simulate the causal effects in long-range chiral-coupling systems, showing that the correlation functions propagate individually in two sublattices. These phenomena are very different from the situations in the conventional long-range coupling quantum systems without chiral symmetry.

Keywords

• spin-mechanical hybrid quantum device
• nitrogen-vacancy center
• mechanical resonator
• chiral spin-spin interaction
• quantum simulation
• causal effect