Fig. 6: Effect of interaction tails.
From: Trimer quantum spin liquid in a honeycomb array of Rydberg atoms
To probe the robustness of the TQSL (trimer quantum spin liquid), we add the interaction tails up to \({{{{{{{\mathcal{R}}}}}}}}=3a\) to the PXP Hamiltonian. a The ground-state overlap with the perfect TQSL state as a function of Δ/Ω for different interaction strengths (Rb/a) shows that the spin liquid survives the long-ranged interactions on the typical cluster with the large MIS (maximum independent set) degeneracy, though with a smaller parameter region for the TSQL phase and lower fidelities. b The adiabatic preparation protocol at parameters corresponding to the peak ground-state fidelity in the TQSL region, denoted by filled symbols in (a), still shows maximum preparation fidelities significantly above the ground-state ones. In contrast to the system without tails, an optimal total preparation time exists, showing the significance of semi-adiabatic effects. c The TQSL overlap during the adiabatic sweep continues to show a sizable gain during the off ramp, with an additional nonmonotonic feature. The behavior during the off ramp in the presence of interaction tails can still be explained by the universal off-ramp projection mechanism (see Supplementary Note 4).
