Extended Data Fig. 7: Energetics of the simulated adiabatic preparation. | Nature

Extended Data Fig. 7: Energetics of the simulated adiabatic preparation.

From: Continuous symmetry breaking in a two-dimensional Rydberg array

Extended Data Fig. 7: Energetics of the simulated adiabatic preparation.

a, b, Interaction energy density \({E}_{{\rm{XY}}}/\bar{N}(\delta )\) in the t-MPS simulations of the 6 × 7 lattice. The teal line and envelope are the disorder ensemble average and standard deviation, respectively. Following a single state with minimal initialization errors (pink line), we see that EXY tightly follows the DMRG ground state value (purple), confirming that diabatic errors are negligible. c, d, Energy gaps Δ0 between the ground state and the first excited state in the Sz = 0 sector, obtained from DMRG. For the near-ideal initial state, the final energy density (pink dotted line) falls below the gap in both the FM and AFM case.

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