Fig. 2: Coherent-like state preparation.

a, Total number of particles ⟨n⟩ in the uniform lattice while driving the system on resonance for time t. Simulations do not include decoherence. The lattice reaches half-filling at equilibrium. The experiments are executed using the pulse sequence shown in the inset. b, Probability of measuring different numbers of excitations in the lattice at three different times. The blue stars are from a Poisson fit to the excitation-number distribution for Ω = J/2, with the dashed lines as guides to the eye. c–e, Simulated overlap of the prepared coherent-like state in steady state (t = 10/J) with drive strength Ω = J/2 and drive detuning δ = 0J (c), δ = 1J (d) and δ = 2J (e) with the HCBH energy eigenstates. The different shades of red indicate the magnitude of the overlap between the prepared superposition states and energy eigenstates. Note that the spectra are shown in the rotating frame of the lattice sites and not of the drive. f, Average two-point correlator squared along the x basis, \(\overline{| {C}_{i,j}^{x}{| }^{2}}\), between qubit pairs at distance M for drive duration t = 10/J, strength Ω = J/2 and detuning δ from the lattice frequency. g, Correlation length ξ^x extracted using the two-point correlators at different values of δ.