Fig. 8: Dynamical structure factor measurements.
Results of measuring the dynamical structure factor S(Q, ω) plotted against frequency ω, where the measuring units of ω is that of ∣J∣, for the approximation of the ρ4 Gibbs state are presented. The Hamiltonian employed is the XY model at the inverse temperature β = 0.8. Results were obtained using ibm_algiers, with the qubits' initial layout of [2,1,4,7] for the direct measurements, along with setting t = 5, the number of time steps = 51, dt ≈ 0.1, and the number of shots = 4000 to obtain all of the correlation functions needed to calculate the dynamical structure factor (as illustrated in Eq. (16)). S(Q, ω) is calculated for the values (a) Q = 0, (b) \({\boldsymbol{Q}}=\frac{\pi }{2}\), (c) Q = π, and (Dd)\({\boldsymbol{Q}}=\frac{3\pi }{2}\).
