Data for "Simulation of AdS_{2+1} Spacetime with a Single Trapped Ion"

1, File 'Fig1de' provides the data in need to plot figs.1(d)(e), in which the sheets with labels (d) and (e) denotes the ones for corresponding subfigures, respectively. The sheets titled 'Exp_up' and 'Exp_down' include the evolution time of effective Hamiltonian (named tau,first column), the population in experiments (rho, second column) and the standard deviation of population (error bar, third column). All these experimental populations in fig.1 are scaled by exp(2eta) to match the results of effective 2-level. The sheets titled 'rhoN' include the effective time (tau, first column), populations solved from Lindblad master equation (rho, second column) and square norms of wave function psi obtained via effective 2-level Hamiltonian.2, File 'Fig1de_initial' provides the corresponding populations in fig1.(d)(e) without the exp(2eta) scale, showing the direct results in experiments.3, File 'Fig2bcd' provides the data for evolution time (t/time, column 1 in each sheets), experimental population (S/D state, columns 2 in sheets Exp_up and Exp_down), standard deviation (S/D error, column 3 in sheets Exp_up and Exp_down) and populations by solving the master equation (P_up/P_down, columns 2 and 3 in sheets P). The labels (b)(c)(d) are data for corresponding subfigures. The experimental parameters are also displayed in each sheets.4, File 'Fig2e' provides the data to plot the metric components in fig2.(e). Sheet '(e)Th' provides the metric components g_phi, g_psi, g_eta (columns 2 to 4) with coordinate eta (column 1) obtained theoretically. The sheets Ex-g_phi and Ex-g_psi include the coordinates (eta, columns 1) , the metric components (g_phi/g_psi, column 2) and the corresponding standard deviation (delta_g, column 3) in experiments. 5, File 'Fig3a' displays the coordinates (x,z) in diffrerent columns with path color red, blue and green in 3 sheets.6, File 'Fig3bcd' displays the data for subfigures fig3.(b)(c)(d). For each sheets with labels (b),(c) or (d), all the sheets display the distance (s, column 1). Exp_up and Exp_down show the populations (rho_S/rho_D, column 2) and the standard deviation (Err_S/Err_D, column 3) in experiments. Especially for sheets named P, they include populations of up state and down state from master equations, displayed in column 2 and column 3.